Bibliography for Analytic Functions

unabridged

 

  1. Locating all the zeros of an analytic function in one complex variable
    Dellnitz M.; Schutze O.; Zheng Q.
    Journal of Computational and Applied Mathematics, 15 January 2002, vol. 138, no. 2, pp. 325-333(9), Ingenta.   
  2. Linear generalized analytic functions. In honor of Professor Erwin Kreyszig on the occasion of his 80th birthday.  
    Tutschke, W.; Vasudeva, H.  
    Complex Var. Theory Appl. 47 (2002), no. 8, 719--725, MathSciNet.  
  3. Approximation of analytic functions in certain spaces. (Spanish)
    Almira, José María; del Toro, Naira; Pérez-Acosta, Francisco
    Margarita mathematica, 349--363, Univ. La Rioja, Logroño, 2001, MathSciNet.  
  4. Representations of analytic functions in terms of local values by means of the Riemann mapping function.
    Saitoh, Saburou; Mori, Masatake
    Complex Variables Theory Appl. 45 (2001), no. 4, 387--393, MathSciNet.  
  5. On the continuability of multivalued analytic functions to an analytic subset. (Russian)
    Khovanskii, A. G.
    Funktsional. Anal. i Prilozhen. 35 (2001), no. 1, 62--73, 96; translation in Funct. Anal. Appl. 35 (2001), no. 1, 52--60, MathSciNet.  
  6. The analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters
    Becken W.; Schmelcher P.
    Journal of Computational and Applied Mathematics, 30 December 2000, vol. 126, no. 1, pp. 449-478(30), Ingenta.   
  7. Repulsive fixpoints of analytic functions with applications to complex dynamics.
    Essén, Matts; Wu, Shengjian
    J. London Math. Soc. (2) 62 (2000), no. 1, 139--148, MathSciNet.  
  8. Complex-Analytic Theory of the -Function
    Jonckheere E.A.; Schumitzky N-P.A.
    Journal of Mathematical Analysis and Applications, August 1999, vol. 237, no. 1, pp. 201-239(39), Ingenta.   
  9. Mathematics of the 19th Century: Geometry / Analytic Function Theory. (Review)
    John Ewing.
    The College Mathematics Journal March 1999 v30 i2 p159(3), ASAP.   
  10. Analytic functions of bounded index.
    Sheremeta, M.
    Mathematical Studies Monograph Series, 6. VNTL Publishers, L'viv, 1999. 141 pp. ISBN: 966-7148-77-7, MathSciNet.  
  11. Some properties of analytic functions of several complex variables.
    Lahiri, B. K.; Banerjee, Dibyendu
    Bull. Calcutta Math. Soc. 91 (1999), no. 4, 343--350, MathSciNet.  
  12. On local behavior of analytic functions.
    Brudnyi, Alexander
    J. Funct. Anal. 169 (1999), no. 2, 481--493, MathSciNet.  
  13. Spatial Riemann problem for analytic functions of two complex variables.
    Begehr, H.; Dai, D. Q.
    Z. Anal. Anwendungen 18 (1999), no. 4, 827--837, MathSciNet.  
  14. The chaotic analytic function
    Hannay J.H.
    Journal of Physics A: Mathematical and General, 1998, vol. 31, no. 49, pp. L755-L761(1), Ingenta.   
  15. Univalence of certain analytic functions.
    Trojnar-Spelina, Lucyna
    Demonstratio Math. 31 (1998), no. 2, 467--476, MathSciNet.  
  16. Generalization properties for certain analytic functions.
    Owa, Shigeyoshi
    Internat. J. Math. Math. Sci. 21 (1998), no. 4, 707--712, MathSciNet.  
  17. Extension of separately analytic functions and applications to range characterization of the exponential Radon transform.  
    Öktem, Ozan
    Complex analysis and applications (Warsaw, 1997). Ann. Polon. Math. 70 (1998), 195--213, MathSciNet.  
  18. On some classes of analytic functions.
    Hendi, Awatif A.; Abu-Sulayman, Ibtesam M.
    Arab J. Math. Sci. 3 (1997), no. 2, 53--62, MathSciNet.  
  19. Analytic functions and their derivatives.
    Bureau, Florent
    Acad. Roy. Belg. Cl. Sci. Mém. Collect. 8 (3) 12 (1997), 161 pp., MathSciNet.  
  20. A uniqueness theorem for bounded analytic functions.
    Lyubarskii, Yurii I.; Seip, Kristian
    Bull. London Math. Soc. 29 (1997), no. 1, 49--52, MathSciNet.  
  21. A-Differentiability and A-Analyticity  
    P. M. Gadea; J. Munoz Masque  
    Proceedings of the American Mathematical Society, Vol. 124, No. 5. (May, 1996), pp. 1437-1443, Jstor.  
  22. A Remark on the Nevanlinna-Polya Theorem in Analytic Function Theory
    Haruki H.; Rassias T.M.
    Journal of Mathematical Analysis and Applications, June 1996, vol. 200, no. 2, pp. 382-387(6), Ingenta.   
  23. Analytic functions, ideal fluid flow, and Bernoulli's equation.
    J.G. Simmonds.
    SIAM Review Dec 1996 v38 n4 p666(2), ASAP.    
  24. Boundary value problems for analytic functions on a product of annuli. (Chinese)
    Wang, Li Ping
    J. Ocean Univ. Qingdao 26 (1996), no. 1, 117--121, MathSciNet.  
  25. On integration and differentiation of generalized analytic functions.
    Tutschke, W.; Withalm, C.
    Complex Variables Theory Appl. 29 (1996), no. 4, 319--332, MathSciNet.  
  26. Necessary and sufficient conditions for an analytic function to belong to the Bloch space. (Chinese)
    Lou, Zeng Jian
    Qufu Shifan Daxue Xuebao Ziran Kexue Ban 21 (1995), no. 1, 45--47, MathSciNet.  
  27. On the theory of generalized analytic functions.
    Bliev, N. K.
    Complex Variables Theory Appl. 26 (1994), no. 1-2, 93--99, MathSciNet.  
  28. Removable singularities for analytic functions.
    Koskela, Pekka
    Michigan Math. J. 40 (1993), no. 3, 459--466, MathSciNet.  
  29. The pth Root of an Analytic Function (in Notes)  
    Lawrence J. Wallen  
    Mathematics Magazine, Vol. 65, No. 4. (Oct., 1992), pp. 260-261, Jstor.  
  30. Current topics in analytic function theory.
    Edited by H. M. Srivastava and Shigeyoshi Owa.
    World Scientific Publishing Co., Inc., River Edge, NJ, 1992. xiv+456 pp., MathSciNet.  
  31. On the coefficients of analytic functions of slow growth represented by Dirichlet series.
    Rani, Sunita; Srivastava, G. S.
    Bull. Inst. Math. Acad. Sinica 19 (1991), no. 1, 87--96, MathSciNet.  
  32. Growth estimates of analytic functions defined by Dirichlet series.
    Kumar, Naresh; Srivastava, G. S.
    Indian J. Pure Appl. Math. 22 (1991), no. 8, 645--656, MathSciNet.  
  33. An inequality for analytic functions.
    Cegrell, Urban
    Several complex variables and complex geometry, Part 1 (Santa Cruz, CA, 1989), 37--39, Proc. Sympos. Pure Math., 52, Part 1, Amer. Math. Soc., Providence, RI, 1991, MathSciNet.  
  34. Analyticity of Almost Everywhere Differentiable Functions  
    Eric J. Howard  
    Proceedings of the American Mathematical Society, Vol. 110, No. 3. (Nov., 1990), pp. 745-753, Jstor.  
  35. When is a [Graphics:../Images/AnalyticFunBib_gr_2.gif] Function Analytic?
    Boas, R. P.
    Math. Intell., (1989), V. 11, No. 4, pp. 34-37.
  36. On inequalities for certain analytic functions.
    Saitoh, Hitoshi
    Math. Japon. 35 (1990), no. 6, 1073--1076, MathSciNet.  
  37. Imbedding of power series spaces and spaces of analytic functions.
    Aytuna, A.; Krone, J.; Terziouglu, T.
    Manuscripta Math. 67 (1990), no. 2, 125--142, MathSciNet.  
  38. On Characterizations of Analyticity (in Notes)  
    G. B. Folland  
    American Mathematical Monthly, Vol. 93, No. 8. (Oct., 1986), pp. 640-641, Jstor.  
  39. On the Analyticity of CR Mappings  
    M. S. Baouendi; H. Jacobowitz; F. Treves  
    The Annals of Mathematics, 2nd Ser., Vol. 122, No. 2. (Sep., 1985), pp. 365-400, Jstor.  
  40. Differentiable, Nowhere Analytic Functions  
    F. S. Cater  
    American Mathematical Monthly, Vol. 91, No. 10. (Dec., 1984), pp. 618-624, Jstor.  
  41. Continuation Techniques for a Certain Class of Analytic Functions  
    Jorge L. C. Sanz; Thomas S. Huang  
    SIAM Journal on Applied Mathematics, Vol. 44, No. 4. (Aug., 1984), pp. 819-838, Jstor.  
  42. Pointwise Limits of Analytic Functions (in Notes)  
    Kenneth R. Davidson  
    American Mathematical Monthly, Vol. 90, No. 6. (Jun. - Jul., 1983), pp. 391-394, Jstor.  
  43. On Locating All Zeros of an Analytic Function within a Bounded Domain by a Revised Delves/Lyness Method  
    Tien-Yien Li  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 4. (Aug., 1983), pp. 865-871, Jstor.  
  44. A Bounded Analytic Function in the Unit Disk with a Level Set Component of Infinite Length  
    K. F. Barth; J. G. Clunie  
    Proceedings of the American Mathematical Society, Vol. 85, No. 4. (Aug., 1982), pp. 562-566, Jstor.  
  45. How Analytic Functions Preserve Closeness (in Notes)  
    Richard K. Williams  
    Mathematics Magazine, Vol. 52, No. 2. (Mar., 1979), pp. 106-108, Jstor.  
  46. More on Gradient Characterizations of Analyticity (in Classroom Notes)  
    Bertram Walsh  
    American Mathematical Monthly, Vol. 86, No. 6. (Jun. - Jul., 1979), pp. 490-491, Jstor.  
  47. Gradient Characterizations of Analyticity  
    H. S. Bear; G. N. Hile  
    American Mathematical Monthly, Vol. 85, No. 5. (May, 1978), pp. 333-337, Jstor.  
  48. On the Definition of Analyticity  
    Snider, Arthur David  
    Int. J. of Math. Ed. in Sci. and Tech., (1978), V. 9, No. 3, pp. 373-374.
  49. Conditions for Generating a Nonvanishing Bounded Analytic Function  
    J. H. Mantel  
    Proceedings of the American Mathematical Society, Vol. 66, No. 1. (Sep., 1977), pp. 62-64, Jstor.  
  50. Some Uniqueness Theorems for Analytic Functions (in Mathematical Notes)  
    David Burdick; F. D. Lesley  
    American Mathematical Monthly, Vol. 82, No. 2. (Feb., 1975), pp. 152-155, Jstor.  
  51. Analytic Structure in Some Analytic Function Algebras  
    William R. Zame  
    Transactions of the American Mathematical Society, Vol. 203. (Mar., 1975), pp. 215-226, Jstor.  
  52. Alternatives to Taylor's Theorem in Proving Analyticity (in Classroom Notes)  
    J. A. Eidswick  
    American Mathematical Monthly, Vol. 82, No. 9. (Nov., 1975), pp. 929-931, Jstor.  
  53. An Analytic Function which is an Approximate Characteristic Function  
    Frank Stenger  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 2. (Apr., 1975), pp. 239-254, Jstor.  
  54. On Analytic Function of a Quaternion Variable  
    Buoncristiana, A. M.  
    Pi Mu Epsilon J., (1974), V. 6, No. 1, pp. 8-11.  
  55. Analytic Functions on Nonopen Sets  
    Carl David Minda  
    Mathematics Magazine, Vol. 46, No. 4. (Sep., 1973), pp. 223-224, Jstor.  
  56. A Local Mean Value Theorem for Analytic Function (in Mathematical Notes)  
    Ake Samuelsson  
    American Mathematical Monthly, Vol. 80, No. 1. (Jan., 1973), pp. 45-46, Jstor.  
  57. Characterization of an Analytic Function of a Quaternion Variable  
    Buff, Joseph J.  
    Pi Mu Epsilon J., (1973), Vol. 5, No. 8, pp. 387-392.  
  58. Analytic-Function Bases for Multiply-Connected Regions  
    Victor Manjarrez  
    Transactions of the American Mathematical Society, Vol. 154. (Feb., 1971), pp. 93-103, Jstor.  
  59. On the Location of Singularities of Analytic Functions (in Mathematical Notes)  
    A. R. Blass; C. V. Stanojevic  
    American Mathematical Monthly, Vol. 77, No. 7. (Aug. - Sep., 1970), pp. 736-738, Jstor.  
  60. Analyticity and Continuation of Certain Functions of Two Complex Variables  
    Carl H. Fitzgerald  
    Proceedings of the American Mathematical Society, Vol. 25, No. 3. (Jul., 1970), pp. 536-540, Jstor.  
  61. On Analytic Functions Satisfying the Mean Value Theorem and a Conjecture of W. G. Dotson  
    Zalman Rubinstein; W. G. Dotson  
    Mathematics Magazine, Vol. 42, No. 5. (Nov., 1969), pp. 256-259, Jstor.  
  62. On Functional Values of Families of Analytic Functions (in Mathematical Notes)  
    Fred Gross  
    American Mathematical Monthly, Vol. 76, No. 5. (May, 1969), pp. 528-530, Jstor.  
  63. Null Sets for a Class of Analytic Functions  
    Lawrence Zalcman  
    American Mathematical Monthly, Vol. 75, No. 5. (May, 1968), pp. 462-470, Jstor.  
  64. Titchmarsh's Theorem for Analytic Functions (in Classroom Notes)  
    M. R. Virga  
    American Mathematical Monthly, Vol. 74, No. 7. (Aug. - Sep., 1967), pp. 849-851, Jstor.  
  65. On Convergence Properties of Sequences of Analytic Functions  
    D. A. Hejhal  
    American Mathematical Monthly, Vol. 74, No. 10. (Dec., 1967), pp. 1208-1211, Jstor.  
  66. A Numerical Method for Locating the Zeros of an Analytic Function  
    L. M. Delves; J. N. Lyness  
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 543-560, Jstor.  
  67. The Analyticity of the Roots of a Polynomial as Functions of the Coefficients  
    David R. Brillinger  
    Mathematics Magazine, Vol. 39, No. 3. (May, 1966), pp. 145-147, Jstor.  
  68. On a Characterization of Analytic Functions  
    A. W. Goodman  
    American Mathematical Monthly, Vol. 71, No. 3. (Mar., 1964), pp. 265-267, Jstor.  
  69. Removable Singularities of Analytic Functions (in Classroom Notes)  
    Harley Flanders  
    American Mathematical Monthly, Vol. 69, No. 7. (Aug. - Sep., 1962), p. 654, Jstor.  
  70. Analyticity Without Analysis  
    William C. Fox  
    Proceedings of the American Mathematical Society, Vol. 13, No. 2. (Apr., 1962), pp. 274-275, Jstor.  
  71. On the Notion of Analyticity  
    C. F. Moppert  
    Proceedings of the American Mathematical Society, Vol. 10, No. 4. (Aug., 1959), pp. 574-576, Jstor.  
  72. Variation of the Branch Points for An Analytic Function  
    A. W. Goodman  
    Transactions of the American Mathematical Society, Vol. 89, No. 2. (Nov., 1958), pp. 277-284, Jstor.  
  73. On Quasi-Conformality and Pseudo-Analyticity  
    Akira Mori  
    Transactions of the American Mathematical Society, Vol. 84, No. 1. (Jan., 1957), pp. 56-77, Jstor.  
  74. On Analytic Functions Having a Positive Real Part in the Unit Circle (in Mathematical Notes)   
    V. F. Cowling  
    American Mathematical Monthly, Vol. 63, No. 5. (May, 1956), pp. 329-330, Jstor.  
  75. On the Definition of an Analytic Function  
    Maynard G. Arsove  
    American Mathematical Monthly, Vol. 62, No. 1. (Jan., 1955), pp. 22-25, Jstor.  
  76. Three Dimensional Harmonic Functions Generated by Analytic Functions of a Hypervariable (in Mathematical Notes)  
    E. P. Miles  
    American Mathematical Monthly, Vol. 61, No. 10. (Dec., 1954), pp. 694-697, Jstor.  
  77. A Characterization of Analytic Functions  
    J. E. McLaughlin; C. J. Titus  
    Proceedings of the American Mathematical Society, Vol. 5, No. 3. (Jun., 1954), pp. 348-351, Jstor.  
  78. On Inequalities for Analytic Functions (in Mathematical Notes)  
    C. T. Rajagopal  
    American Mathematical Monthly, Vol. 60, No. 10. (Dec., 1953), pp. 693-695, Jstor.  
  79. The Zeros of an Analytic Function of Arbitrarily Rapid Growth  
    Annette Sinclair  
    Proceedings of the American Mathematical Society, Vol. 3, No. 3. (Jun., 1952), pp. 416-424, Jstor.  
  80. Analytic Functions Related to Primes  
    R. M. Redheffer  
    Mathematics Magazine, Vol. 24, No. 3. (Jan. - Feb., 1951), pp. 135-138, Jstor.  
  81. The Radius of Univalence of an Analytic Function  
    Zeev Nehari  
    American Journal of Mathematics, Vol. 71, No. 4. (Oct., 1949), pp. 845-852, Jstor.  
  82. Remarks on Analyticity and Integration  
    A. D. Perry; J. W. T. Youngs  
    American Mathematical Monthly, Vol. 54, No. 6. (Jun. - Jul., 1947), pp. 313-318, Jstor.  
  83. Non-Analytic Functions  
    Szu-Hoa Min  
    American Mathematical Monthly, Vol. 51, No. 9. (Nov., 1944), pp. 510-517, Jstor.  
  84. On the Possible Rate of Growth of an Analytic Function  
    P. W. Ketchum  
    Transactions of the American Mathematical Society, Vol. 49, No. 2. (Mar., 1941), pp. 211-228, Jstor.  
  85. Analyticity of Equilibrium Figures of Rotation  
    Bernard Friedman  
    Transactions of the American Mathematical Society, Vol. 43, No. 2. (Mar., 1938), pp. 183-198, Jstor.  
  86. Non-Analytic Functions of a Complex Variable  
    Louis Brand  
    American Mathematical Monthly, Vol. 40, No. 5. (May, 1933), pp. 260-265, Jstor.  
  87. Boundary Values of An Analytic Function and The Tchebycheff Method of Approximation  
    J. L. Walsh  
    Transactions of the American Mathematical Society, Vol. 32, No. 3. (Jul., 1930), pp. 335-390, Jstor.  
  88. On the Order of an Analytic Function at a Singular Point  
    M. H. Stone  
    The Annals of Mathematics, 2nd Ser., Vol. 26, No. 1/2. (Sep. - Dec., 1924), pp. 145-154, Jstor.  
  89. The Poisson Integral and an Analytic Function on Its Circle of Convergence  
    A. Arwin  
    The Annals of Mathematics, 2nd Ser., Vol. 23, No. 2. (Dec., 1921), pp. 141-143, Jstor.  
  90. On the Maximum Modulus of an Analytic Function  
    T. H. Gronwall  
    The Annals of Mathematics, 2nd Ser., Vol. 16, No. 1/4. (1914 - 1915), pp. 77-81, Jstor.  
  91. On Logarithmic Potential and Analytic Functions  
    C. W. Emmons  

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