Bibliography for Entire Functions

unabridged

 

  1. Entire functions that share a small function with their derivatives
    Jianming Chang; Mingliang Fang
    Complex Variables, October 10, 2004, vol. 49, no. 12, pp. 871-895(25), Ingenta.
  2. An approximation theorem for entire functions of exponential type and the stability of zero sequences. (Russian)
    Khabibullin, B. N.
    Mat. Sb. 195 (2004), no. 1, 143--156, MathSciNet.  
  3. On the Regular Variation of Main Characteristics of an Entire Function
    Filevych P.V.; Sheremeta M.M.
    Ukrainian Mathematical Journal, June 2003, vol. 55, no. 6, pp. 1012-1024(13), Ingenta.
  4. Characteristic of composite functions of entire function with saturated defective number
    Jianwu Sun
    Complex Variables, November 2003, vol. 48, no. 11, pp. 909-915(7), Ingenta.
  5. Estimate of an Entire Function in the Union of Two Angles
    Mustafin R.M.
    Mathematical Notes, September 2003, vol. 74, no. 3-4, pp. 520-529(10), Ingenta.
  6. On Influence of the Arguments of Coefficients of a Power Series Expansion of an Entire Function on the Growth of the Maximum of Its Modulus
    Filevich P.V.
    Siberian Mathematical Journal, May 2003, vol. 44, no. 3, pp. 529-538(10), Ingenta.
  7. Distance between a Maximum Modulus Point and Zero Set of an Entire Function
    Ostrovskii I.; Ersin Üreyen A.
    Complex Variables, July 2003, vol. 48, no. 7, pp. 583-598(16), Ingenta.
  8. Laguerre entire functions and the Lee-Yang property
    Kozitsky, Yuri  
    Applied Mathematics and Computation (New York), v 141, n 1, Aug 20, 2003, p 103-112, Compendex.
  9. The Growth of an Entire Function and its Dirichlet Coefficients and Exponents
    Boivin A.; Zhu C.
    Complex Variables, May 2003, vol. 48, no. 5, pp. 397-415(19), Ingenta.
  10. On the Growth of the Maximum of the Modulus of an Entire Function on a Sequence
    Filevych P.V.
    Ukrainian Mathematical Journal, August 2002, vol. 54, no. 8, pp. 1386-1392(7), Ingenta.
  11. The application of the single-band envelope-function model in the entire Brillouin zone for electronic structure and optical properties calculations
    Mircetic, A.; Ikonic, Z.; Milanovic, V.
    Materials Science Forum, v 413, 2002, p 27-32, Compendex.
  12. A note on the interpolation of entire functions.
    Deng, Guantie
    Southeast Asian Bull. Math. 26 (2002), no. 3, 407--412, MathSciNet.  
  13. Simulation of resonant modes of rectangular DR in MIC environment using MPIE-MoM with combined entire-domain and sub-domain basis functions
    Liu, Yaxun; Safavi-Naeini, Safieddin; Chaudhuri, Sujeet K.; Sabry, Ramin
    IEEE MTT-S International Microwave Symposium Digest, v 3, 2002, p 1901-1904, Compendex.
  14. On Taylor coefficients of entire functions integrable against exponential weights.
    Blasco, Oscar; Galbis, Antonio
    Math. Nachr. 223 (2001), 5--21, MathSciNet.  
  15. Two Entire Functions Sharing One Small Function CM and Two Other Small Functions IM
    Weihong Y.
    Journal of Mathematical Analysis and Applications, 1 November 2001, vol. 263, no. 1, pp. 153-164(12), Ingenta.
  16. An unorthodox entire function
    Wunsche A.
    Journal of Computational and Applied Mathematics, 1 August 2001, vol. 133, no. 1, pp. 700-701(2), Ingenta.
  17. Laurent series from entire functions.
    Golightly, George O.
    Houston J. Math. 26 (2000), no. 2, 409--416, MathSciNet.  
  18. On interpolating varieties for weighted spaces of entire functions
    Hartmann, Andreas; Massaneda, Xavier
    Journal of Geometric Analysis, v 10, n 4, 2000, p 683-696, Compendex.
  19. An Entire Holomorphic Function Associated to an Entire Harmonic Function
    Armitage D.H.
    Journal of Approximation Theory, August 1999, vol. 99, no. 2, pp. 325-343(19), Ingenta.
  20. On Some Conjectures by Morriset al.about Zeros of an Entire Function
    Liu Y.
    Journal of Mathematical Analysis and Applications, 1 October 1998, vol. 226, no. 1, pp. 1-5(5), Ingenta.
  21. Incorporating the entire modulation transfer function into an infrared target acquisition model
    Hadar, O.; Rotman, S.R.; Kopeika, N.S.; Kowalczyk, M.
    Infrared Physics & Technology, v 39, n 5, Aug, 1998, p 307-314, Compendex.
  22. Entire functions, invariant subspaces and Fourier transforms.
    Atzmon, Aharon
    Proceedings of the Ashkelon Workshop on Complex Function Theory (1996), 37--52, Israel Math. Conf. Proc., 11, Bar-Ilan Univ., Ramat Gan, 1997, MathSciNet.  
  23. Sur le type de certaines fonctions entières. Application au problème de localisation des points singuliers. (French)
    Berland, Marcel
    [On the type of certain entire functions. Application to the problem of localization of singular points]
    Ann. Sci. Math. Québec 21 (1997), no. 1, 37--51, MathSciNet.  
  24. The growth of a class of entire functions. (Russian)
    Sheremeta, M. N.
    Teor. Funktsi\u\i Funktsional. Anal. i Prilozhen. No. 58 (1992), 121--125 (1993); translation in J. Math. Sci. (New York) 85 (1997), no. 5, 2235--2238, MathSciNet.  
  25. Julia sets and non-constant limits in the composition of entire functions.
    Maalouf, Ramez N.
    Complex Variables Theory Appl. 30 (1996), no. 2, 97--112, MathSciNet.  
  26. Incorporating the entire modulation transfer function into a target acquisition model
    Hadar, Ofer; Rotman, Stanley R.; Kopeika, Norman S.
    Proceedings of SPIE - The International Society for Optical Engineering, v 2742, 1996, p 112-121, Compendex.
  27. A geometric interpretation of the relative order between entire functions.
    Halvarsson, Stefan
    Arch. Math. (Basel) 66 (1996), no. 3, 197--206, MathSciNet.  
  28. Comparison of a class of subdomain and entire domain basis functions automatically satisfying KCL
    Kolundzija, Branko M.  
    IEEE Transactions on Antennas and Propagation, v 44, n 10, Oct, 1996, p 1362-1366, Compendex.  
  29. On entire functions, Bloch and normal functions. A Chinese summary appears in Chinese
    Aulaskari, Rauno; He, Yuzan; Zhao, Ruhan
    Ann. Math. Ser. A 17 (1996), no. 2, 251. Chinese Ann. Math. Ser. B 17 (1996), no. 2, 139--148, MathSciNet.  
  30. Analysis of planar structures by an integral approach using entire domain trial functions
    Nadarassin, M.; Aubert, H.; Baudrand, H.
    IEEE Transactions on Microwave Theory and Techniques, v 43, n 10, Oct, 1995, p 2492-2495, Compendex.
  31. Complex dynamics and entire functions  
    Devaney, Robert L.
    Proceedings of Symposia in Applied Mathematics, v 49, Complex Dynamical Systems The Mathematics Behind the Mandelbrot and Julia Sets, 1994, p 181, Compendex.
  32. Hilbert spaces of entire functions and polynomials orthogonal on the unit circle.
    Li, Xian-Jin
    Methods Appl. Anal. 1 (1994), no. 1, 25--43, MathSciNet.  
  33. Maximal domains for entire functions.
    Peretz, Ronen
    J. Anal. Math. 61 (1993), 1--28, MathSciNet.  
  34. Uniqueness theorem for entire functions of two complex variables
    Trembinska, A.M.
    Journal of Mathematical Analysis and Applications, v 158, n 2, Jul 1, 1991, p 456, Compendex.
  35. Lagrange interpolants for entire functions on Cn
    Bloom, Thomas
    Proceedings of Symposia in Pure Mathematics, 1991, p 29, Compendex.
  36. On the class of entire functions defined by dirichlet series of several complex variables
    Meshreky-Daoud, Suzanne
    Journal of Mathematical Analysis and Applications, v 162, n 1, Nov 15, 1991, p 294, Compendex.
  37. Asymptotic elements of L-entire functions on commutative Banach algebras and lower bounds for the order of such functions. (Spanish)
    Bezanilla López, Arnoldo
    Cienc. Mat. (Havana) 12 (1991), no. 1, 35--46, MathSciNet.  
  38. Maximum Modulus Convexity and the Location of Zeros of an Entire Function  
    Faruk F. Abi-Khuzam
    Proceedings of the American Mathematical Society, Vol. 106, No. 4 (Aug., 1989), pp. 1063-1068, Jstor.
  39. Growth of entire functions with some univalent Gel'fond-Leont'ev derivatives.
    Kapoor, G. P.; Juneja, O. P.; Patel, J.
    Internat. J. Math. Math. Sci. 12 (1989), no. 1, 15--28, MathSciNet.  
  40. On the Area of the Region Where an Entire function is Greater Than One  
    Li-Chien Shen
    Proceedings of the American Mathematical Society, Vol. 102, No. 1 (Jan., 1988), pp. 68-70, Jstor.
  41. On the Final Set of a Real Entire Function of Exponential Type  
    Murali Rao; Li-Chien Shen
    Proceedings of the American Mathematical Society, Vol. 99, No. 4 (Apr., 1987), pp. 700-704, Jstor.
  42. On the construction of an entire function of arbitrary order with given asymptotic properties. (Russian)
    Vinnitskii, B. V.
    Ukrain. Mat. Zh. 38 (1986), no. 2, 143--148, 267, MathSciNet.  
  43. The representation of entire functions by series of Laguerre polynomials. (Russian)
    Boyadzhiev, L. I.
    Complex analysis and applications (Varna, 1983), 286--293, Publ. House Bulgar. Acad. Sci., Sofia, 1985, MathSciNet.  
  44. Inverse scattering problems: a study in terms of the zeros of entire functions.
    Nieto-Vesperinas, M.
    J. Math. Phys. 25 (1984), no. 6, 2109--2115, MathSciNet.  
  45. Identitätssätze für ganze Funktionen vom Exponentialtyp. (German)
    Brück, Rainer
    [Identity theorems for entire functions of exponential type]
    Mitt. Math. Sem. Giessen No. 168 (1984), ii+57 pp., MathSciNet.  
  46. Reality of the Zeros of An Entire Function and Its Derivatives  
    Simon Hellerstein; LI-Chen Shen; Jack Williamson
    Transactions of the American Mathematical Society, Vol. 275, No. 1 (Jan., 1983), pp. 319-331, Jstor.
  47. A Universal Entire Function  
    Charles Blair; Lee A. Rubel
    The American Mathematical Monthly, Vol. 90, No. 5 (May, 1983), pp. 331-332, Jstor.
  48. Errata and Addenda: A Universal Entire Function  
    The American Mathematical Monthly, Vol. 90, No. 10 (Dec., 1983), p. 732, Jstor.
  49. The Reciprocal of an Entire Function of Infinite Order ond the distribution of the Zeros of its Second Derivative  
    John Rossi
    Transactions of the American Mathematical Society, Vol. 270, No. 2 (Apr., 1982), pp. 667-683, Jstor.
  50. The Zeros of the Second Derivative of the Reciprocal of an Entire Function  
    Simon Hellerstein; Jack Williamson
    Transactions of the American Mathematical Society, Vol. 263, No. 2 (Feb., 1981), pp. 501-513, Jstor.
  51. Zeros Of Entire Functions: Theory And Engineering Applications.
    Requicha, Aristides A. G.  
    Proceedings of the IEEE, v 68, n 3, Mar, 1980, p 308-328, Compendex.
  52. Interpolation and approximation of entire functions.
    Juneja, O. P.; Rizvi, S. R. H.
    Proc. Roy. Irish Acad. Sect. A 79 (1979), no. 5, 37--47, MathSciNet.  
  53. Phase Problem In Scattering Phenomena: The Zeros Of Entire Functions And Their Significance.
    Ross, G.; Fiddy, M. A.; Nieto-Vesperinas, M.; Wheeler, M. W. L.
    Proceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences, v 360, n 1700, Mar 21, 1978, p 25-45, Compendex.
  54. Niektore Zastosowania Teorii Funkcji Calkowitych Do Analizy Sygnalow O Ograniczonej Szerokosci Widma  
    [Certain Applications of the Entire Function Theory to the Analysis of Bandlimited Signals]
    Piwnicki, Konrad
    Archiwum Elektrotechniki (Warsaw), v 27, n 4, 1978, p 773-788 Language: English, Polish, Compendex.
  55. Solution To The Phase Problem Based On The Theory Of Entire Functions.
    Ross, G.; Fiddy, M. A.; Nieto-Vesperinas, M.; Wheeler, M. W. L.
    Optik (Stuttgart), v 49, n 1, Oct, 1977, p 71-80, Compendex.
  56. Topological structure of the space of entire functions of several variables over non-Archimedean fields.
    Jain, D. R.; Jain, P. K.
    Glasnik Mat. Ser. III 12(32) (1977), no. 2, 305--314, MathSciNet.  
  57. An Entire Function Bounded in Every Direction  
    D. J. Newman
    The American Mathematical Monthly, Vol. 83, No. 3 (Mar., 1976), pp. 192-193, Jstor.
  58. Entire Functions Whose Fourier Transforms Vanish Outside A Finite Interval.
    Shah, S. M.
    Journal of Mathematical Analysis and Applications, v 53, n 1, Jan, 1976, p 174-185, Compendex.
  59. A Biorthogonal Expansion Related to the Zeros of an Entire Function  
    Harold E. Benzinger
    Proceedings of the American Mathematical Society, Vol. 49, No. 1 (May, 1975), pp. 135-142, Jstor.
  60. On entire functions with infinite domains of normality.
    Liverpool, L. S. O.
    Aequationes Math. 10 (1974), 189--200, MathSciNet.  
  61. Time- optimal control switching times using entire function theory
    Vena P. A. ; Bershad N. J.  
    Int J Contr, v 14, n 3, Sept, 1971, p 529-39, Compendex.
  62. On the Derivative of an Entire Function  
    Morris Marden
    Proceedings of the American Mathematical Society, Vol. 19, No. 5 (Oct., 1968), pp. 1045-1051, Jstor.
  63. On a Problem of Erdos Concerning the Zeros of the Derivatives of an Entire Function  
    K. F. Barth; W. J. Schneider
    Proceedings of the American Mathematical Society, Vol. 32, No. 1 (Mar., 1972), pp. 229-232, Jstor.
  64. Logarithmic Derivative of an Entire Function  
    Morris Marden
    Proceedings of the American Mathematical Society, Vol. 28, No. 2 (May, 1971), pp. 513-518, Jstor.
  65. A theorem on the order of an entire function of several complex variables.
    Sreenivasulu, V.
    Indian J. Pure Appl. Math. 2 (1971), no. 2, 312--317, MathSciNet.  
  66. Certain questions of approximation theory and the theory of entire functions. (Russian)
    Arakeljan, N. U.
    Mat. Zametki 9 1971 467--475, MathSciNet.  
  67. Zeros of entire functions.
    Runckel, Hans-J.
    Trans. Amer. Math. Soc. 143 1969 343--362, MathSciNet.  
  68. On the Zeros of the Derivative of an Entire Function  
    Morris Marden
    The American Mathematical Monthly, Vol. 75, No. 8 (Oct., 1968), pp. 829-839, Jstor.
  69. On the growth of entire functions along half rays.
    Schneider, W. J.
    1968 Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) pp. 377--385 Amer. Math. Soc., Providence, R.I., MathSciNet.  
  70. On Relations Among Some Constants of an Entire Function  
    J. Gopala Krishna
    Proceedings of the American Mathematical Society, Vol. 14, No. 3 (Jun., 1963), pp. 497-500, Jstor.
  71. Shorter Notes: A Simple Example of a Transcendental Entire Function that together with all its Derivatives Assumes Algebraic Values at all Algebraic Points  
    Daihachiro Sato
    Proceedings of the American Mathematical Society, Vol. 14, No. 6 (Dec., 1963), p. 996, Jstor.
  72. Metody teorii tselykh funktsi\u\i v radiofizike, teorii svyazi i optike. (Russian)
    [Methods of the theory of entire functions in radio-physics, communication theory, and optics]
    Khurgin, Ya. I.; Yakovlev, V. P.  
    Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow 1962 220 pp., MathSciNet.  
  73. Expansion of a function in a series of the primitives of an entire function. (Spanish)
    Sunyer Balaguer, F.
    Mem. Acad. Ci. Madrid 5 1959 no. 2, 61 pp., MathSciNet.  
  74. The Distribution of a-Points of an Entire Function  
    S. K. Singh; S. H. Dwivedi
    Proceedings of the American Mathematical Society, Vol. 9, No. 4 (Aug., 1958), pp. 562-568, Jstor.
  75. On the Zeroes of the Derivatives of an Entire Function  
    A. Edrei; G. R. MacLane
    Proceedings of the American Mathematical Society, Vol. 8, No. 4 (Aug., 1957), pp. 702-706, Jstor.
  76. Entire functions of two complex variables. (Russian)
    Temlyakov, A. A.
    Moskov. Oblast. Pedagog. Inst. U\v c. Zap. Trudy Kafedr Mat. 20 (1954), 7--16, MathSciNet.  
  77. On an interpolation problem for entire functions. (Russian)
    Lohin, I. F.
    Mat. Sb. N.S. 35(77), (1954), 223--230, MathSciNet.  
  78. On the integral representation and uniqueness of some classes of entire functions. (Russian)
    Dzrbasyan, M. M.
    Doklady Akad. Nauk SSSR (N.S.) 85, (1952). 29--32, MathSciNet.  
  79. The zeros of approximating polynomials and the canonical representation of an entire function.
    Korevaar, Jacob
    Duke Math. J. 18, (1951). 573--592, MathSciNet.  
  80. On the Zeros of Rational Functions Having Prescribed Poles, with Applications to the Derivative of an Entire Function of Finite Genre  
    Morris Marden
    Transactions of the American Mathematical Society, Vol. 66, No. 2 (Jul., 1949), pp. 407-418, Jstor.
  81. On the Zeros of the Derivative of an Entire Function of Finite Genre  
    Morris Marden
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 34, No. 8 (Aug., 1948), pp. 405-407, Jstor.
  82. The Set on Which an Entire Function is Small  
    R. P. Boas, Jr.; R. C. Buck; P. Erdos
    American Journal of Mathematics, Vol. 70, No. 2 (Apr., 1948), pp. 400-402, Jstor.
  83. Entire Functions with Bounded Minimum Modulus; Subharmonic Function Analogues  
    Maurice Heins
    The Annals of Mathematics, 2nd Ser., Vol. 49, No. 1 (Jan., 1948), pp. 200-213, Jstor.
  84. Fundamental sets of entire functions.
    Boas, R. P., Jr.
    Ann. of Math. (2) 47, (1946). 21--32, MathSciNet.  
  85. Entire functions of exponential type.
    Boas, R. P., Jr.
    Bull. Amer. Math. Soc. 48, (1942). 839--849, MathSciNet.  
  86. On Entire Function Interpolation  
    I. M. Sheffer
    American Journal of Mathematics, Vol. 49, No. 3 (Jul., 1927), pp. 329-342, Jstor.
  87. The Resolution into Partial Fractions of the Reciprocal of an Entire Function of Genus Zero  
    J. F. Ritt
    Transactions of the American Mathematical Society, Vol. 18, No. 1 (Jan., 1917), pp. 21-26, Jstor.
  88. On the Expressibility of a Uniform Function of Several Complex Variables as the Quotient of Two Functions of Entire Character  
    T. H. Gronwall
    Transactions of the American Mathematical Society, Vol. 18, No. 1 (Jan., 1917), pp. 50-64, Jstor.
  89. On Properties of the Solutions of Linear q-Difference Equations with Entire Function Coefficients  
    Thomas E. Mason
    American Journal of Mathematics, Vol. 37, No. 4 (Oct., 1915), pp. 439-444, Jstor.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006