Bibliography for Holomorphic Functions

unabridged

 

  1. The holomorphic flow of Riemann's function xi(z)
    Author: Broughan Kevin A.
    Nonlinearity, May 2005, vol. 18, no. 3, pp. 1269-1294(26), Ingenta.  
  2. Recovering Holomorphic Functions from Their Real or Imaginary Parts without the Cauchy--Riemann Equations  
    William T. Shaw
    SIAM Review, Volume 46, Number 4, (2004), pp. 717-728.
  3. Weighted banach spaces of holomorphic functions on the upper half-plane
    Agethen, Simone  
    Bulletin de la Societe Royale des Sciences de Liege, v 73, n 2-3, 2004, p 69-80, Compendex.
  4. Multidimensional linear feedback control systems and interpolation problems for multivariable holomorphic functions
    Ball, Joseph A.; Malakorn, Tanit
    Multidimensional Systems and Signal Processing, v 15, n 1, January, 2004, p 7-36, Compendex.
  5. The approximation property for spaces of holomorphic functions on infinite-dimensional spaces.
    Dineen, Seán; Mujica, Jorge
    I. J. Approx. Theory 126 (2004), no. 2, 141--156, MathSciNet.  
  6. The Remainder Term of the Taylor Expansion for a Holomorphic Function Is Representable in Lagrange Form
    Authors: Radzievskaya E.I.; Radzievskii G.V.
    Siberian Mathematical Journal, March 2003, vol. 44, no. 2, pp. 322-331(10), Ingenta.  
  7. Topologies of the dual of spaces of holomorphic functions on locality closed sets
    Bonet, J.; Meise, R.; Melikhov, S.N.
    Doklady Akademii Nauk, v 389, n 4, 2003, p 448-452, Compendex.
  8. Relations of families of Stieltjes integrals and several holomorphic function spaces on Cn
    Zhao, Qian; Zhang, Xue-Jun
    Jishou Daxue Xuebao/Journal of Jishou University, v 24, n 1, March, 2003, p 5 Language: Chinese, Compendex.
  9. Error analysis of a derivative-free algorithm for computing zeros of holomorphic functions
    Kravanja, P. (Katholieke Universiteit Leuven, Department of Computer Science); Sakurai, T.; Van Barel, M.
    Computing (Vienna/New York), v 70, n 4, 2003, p 335-347, Compendex.
  10. On the extension of L2 holomorphic functions. VI. A limiting case.
    Ohsawa, Takeo
    Explorations in complex and Riemannian geometry, 235--239, Contemp. Math., 332, Amer. Math. Soc., Providence, RI, 2003, MathSciNet.  
  11. Espaces hilbertiens invariants de fonctions holomorphes. (French)
    Faraut, Jacques
    [Invariant Hilbert spaces of holomorphic functions]
    Analyse sur les groupes de Lie et théorie des représentations (Kénitra, 1999), 101--167, Sémin. Congr., 7, Soc. Math. France, Paris, 2003, MathSciNet.  
  12. Laplace transform of temperate holomorphic functions.
    Berni, Olivier
    Compositio Math. 129 (2001), no. 2, 183--201, MathSciNet.  
  13. On stability in the Cauchy and Morera theorems on holomorphic functions
    Kopylov, A.P.
    Doklady Akademii Nauk, v 378, n 4, 2001, p 447-450, Compendex.
  14. Zeros of holomorphic almost periodic functions.
    Favorov, S. Ju.
    J. Anal. Math. 84 (2001), 51--66, MathSciNet.  
  15. Universality of Taylor series as a generic property of holomorphic functions.
    Melas, A.; Nestoridis, V.
    Adv. Math. 157 (2001), no. 2, 138--176, MathSciNet.  
  16. Holomorphic almost-periodic functions
    Favorov, S.Yu.; Rashkovskii, A.Yu.
    Acta Applicandae Mathematicae, v 65, n 1-3, January/February, 2001, p 217-235, Compendex.
  17. A survey of some results and open problems in weighted inductive limits and projective description for spaces of holomorphic functions
    Bierstedt, Klaus D.  
    Bulletin de la Societe Royale des Sciences de Liege, v 70, n 4-6, 2001, p 167-182, Compendex.
  18. Meixner polynomials and novanishing holomorphic functions
    Kiepiela, K.; Pietrzyk, M.; Szynal, J.
    Journal of Computational and Applied Mathematics, v 133, n 1-2, Aug 1, 2001, p 423-428, Compendex.
  19. Interpolation operators on the space of holomorphic functions on the unit circle
    Kofron, Josef  
    Applications of Mathematics, v 46, n 3, 2001, p 161-189, Compendex.
  20. An Entire Holomorphic Function Associated to an Entire Harmonic Function
    Author: Armitage D.H.
    Journal of Approximation Theory, August 1999, vol. 99, no. 2, pp. 325-343(19), Ingenta.  
  21. Approximate holomorphic representation for lowest Landau level wave functions in a cylindrically symmetrical electric field
    De Filippo, Sergio; Lubritto, Carmine; Siano, Francesco
    Physica B: Condensed Matter, v 269, n 2, Aug, 1999, p 177-182, Compendex.
  22. On some weighted hardy type classes of one-parametric holomorphic functions. II. Partial Volterra operators in parameter
    Mikhailov, S.E.
    Journal of Mathematical Analysis and Applications, v 222, n 2, Jun 15, 1998, p 374, Compendex.
  23. On Some Weighted Hardy Type Classes of One-Parametric Holomorphic Functions. I. Function Properties and Mellin Transforms
    Author: Mikhailov S.E.
    Journal of Mathematical Analysis and Applications, 15 June 1998, vol. 222, no. 2, pp. 339-364(26), Ingenta.  
  24. On holomorphic extension of functions along complex curves
    Kytmanov, A.M.; Myslevets, S.G.
    Publication date: 1998, p 302-304, Compendex.
  25. Bessel polynomial expansions in spaces of holomorphic functions
    Abul-Ez, M.A.
    Journal of Mathematical Analysis and Applications, v 221, n 1, May 1, 1998, p 177, Compendex.
  26. Maximally holomorphic functions of a bounded linear operator
    Liu, Shuiqiang  
    Changsha Dianli Xueyuan Xuebao/Journal of Changsha University of Electric Power, v 13, n 1, Feb, 1998, p 21-24 Language: Chinese, English, Compendex.
  27. Univalence of Holomorphic Mappings  PDF  
    Robert Molzon and Karen Pinney Mortensen
    Pacific Journal of Mathematics, Vol. 180, No. 1, 1997, pp. 125-133.  
  28. Quasi-normable preduals of spaces of holomorphic functions
    Garcia, Domingo; Mujica, Jorge
    Journal of Mathematical Analysis and Applications, v 208, n 1, Apr 1, 1997, p 171-180, Compendex.
  29. Complex mean-value interpolation and approximation of holomorphic functions.
    Filipsson, Lars
    J. Approx. Theory 91 (1997), no. 2, 244--278, MathSciNet.  
  30. Boundary value problems of holomorphic vector functions and applications to anisotropic elasticity
    Wang, M.Z.; Yan, G.P.
    Quarterly of Applied Mathematics, v 55, n 2, Jun, 1997, p 231-241, Compendex.
  31. Approximation in eigenvalue problems for holomorphic Fredholm operator functions. II. (Convergence rate)
    Karma, O.
    Numerical Functional Analysis and Optimization, v 17, n 3-4, Apr-May, 1996, p 389, Compendex.
  32. Approximation in eigenvalue problems for holomorphic Fredholm operator functions. I
    Karma, O.
    Numerical Functional Analysis and Optimization, v 17, n 3-4, Apr-May, 1996, p 365, Compendex.
  33. Elements of D prime L(s)(M(p)) and D'L(s){M(p)} as boundary values of holomorphic functions
    Pilipovic, Stevan
    Journal of Mathematical Analysis and Applications, v 203, n 3, Nov 1, 1996, p 719, Compendex.  
  34. Holomorphic scaling function for YBa2Cu3O7-x and Hg(Xe) superconductors
    Fang, P.H.
    Journal De Physique, III, v 6, n 3, Mar, 1996, p 333, Compendex.
  35. Extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds
    Larusson, Finnur
    Journal of Geometric Analysis, v 5, n 2, 1995, p 281, Compendex.
  36. Completeness of the system of sequential primitives of holomorphic functions in multicircular domain
    Zuzin, M.Yu.
    Vestnik Moskovskogo Universiteta, Seriya 1 (Matematika Mekhanika), n 5, Sept-Oct, 1994, p 10-13 Language: Russian, Compendex.
  37. On the radial behavior of functions holomorphic in a ball
    Dubtsov, E.S.
    Vestnik Leningradskogo Universiteta, Seriya 1: Matematika, Mekhanika, Astronomiya, n 3, July-Sept, 1994, p 27-33 Language: Russian, Compendex.
  38. Positive Harmonic Majorization of the Real Part of a Holomorphic Function  
    Stephen J. Gardiner
    Proceedings of the American Mathematical Society, Vol. 117, No. 3 (Mar., 1993), pp. 767-770, Jstor.     
  39. Axial monogenic functions from holomorphic functions
    Common, A.K.; Sommen, F.
    Journal of Mathematical Analysis and Applications, v 179, n 2, Nov 1, 1993, p 610, Compendex.
  40. Sheaves of holomorphic functions with growth conditions
    Berenstein, Carlos A.; Struppa, Daniele C.
    Publ by World Scientific Publ Co, 1993, p 63, Compendex.
  41. Integral representations for some classes of functions holomorphic in a Siegel domain.
    Djrbashian, M. M.; Karapetyan, A. H.
    Journal of Mathematical Analysis and Applications, v 179, n 1, Oct, 1993, p 91--109, MathSciNet.  
  42. Abstract versions of l'hospital's rule for holomorphic functions in the framework of complex B-modules
    Spigler, Renato; Vianello, Marco
    Journal of Mathematical Analysis and Applications, v 180, n 1, Nov 15, 1993, p 17, Compendex.
  43. Higher order wave front sets and boundary values of holomorphic functions
    Lecture Notes in Mathematics, v 1555, 1993, p 374, Compendex.
  44. Spaces of holomorphic functions and germs on quotients
    Ansemil, J.M.; Aron, R.M.; Ponte, S.
    Proceedings of the International Functional Analysis Meeting, 1992, p 163, Compendex.
  45. Holomorphic functions on Frechet-montel spaces
    Dineen, Sean
    Journal of Mathematical Analysis and Applications, v 163, n 2, Jan 15, 1992, p 581, Compendex.
  46. Construction de disques analytiques et régularité de fonctions holomorphes au bord. (French)
    [Construction of analytic discs and regularity of functions holomorphic at the boundary]
    Coupet, Bernard
    Math. Z. 209 (1992), no. 2, 179--204, MathSciNet.  
  47. Separately meromorphic functions and separately holomorphic mappings
    Shiffman, Bernard
    Proceedings of Symposia in Pure Mathematics, 1991, p 191, Compendex.
  48. Holomorphic functions taking their values in a q-space and the cauchy-Fantappie formula
    Waelbroeck, L.
    Proceedings of Symposia in Pure Mathematics, 1991, p 583, Compendex.
  49. Boundary Morera theorems for holomorphic functions of several complex variables.
    Globevnik, Josip; Stout, Edgar Lee
    Duke Math. J. 64 (1991), no. 3, 571--615, MathSciNet.  
  50. Strongly bounded holomorphic functions and corresponding PC-fractions
    Njastad, Olav; Waadeland, Haakon
    Journal of Mathematical Analysis and Applications, v 151, n 2, Sep 15, 1990, p 379-395, Compendex.
  51. Convergence of Pade-type approximants to holomorphic functions of several complex variables
    Daras, N.J.
    Applied Numerical Mathematics, v 6, n 5, Jul, 1990, p 341, Compendex.
  52. Boundary value problems and best approximation by holomorphic functions.
    Wegert, Elias
    J. Approx. Theory 61 (1990), no. 3, 322--334, MathSciNet.  
  53. Point Derivations on Function Algebras Generated by Holomorphic Functions  
    R. G. M. Brummelhuis; P. J. De Paepe
    Proceedings of the American Mathematical Society, Vol. 105, No. 1 (Jan., 1989), pp. 117-120, Jstor.    
  54. A Holomorphic Function with Wild Boundary Behavior  
    Josip Globevnik
    Proceedings of the American Mathematical Society, Vol. 93, No. 4 (Apr., 1985), pp. 648-652, Jstor.   
  55. Métodos actuales de la teoría de funciones holomorfas de varias variables. (Spanish)
    [Current methods of the theory of holomorphic functions of several variables]
    Bruna, Joachim; Cufí, Julià
    Publicaciones de la Sección de Matemáticas, Universidad de Extremadura, 2. Universidad de Extremadura, Facultad de Ciencias, Departamento de Matemáticas, Badajoz; Asociación Matemática Española, Madrid, 1983. 234 pp., MathSciNet.
  56. The Bergman Kernel Function and Propert Holomorphic Mappings  
    Steven R. Bell
    Transactions of the American Mathematical Society, Vol. 270, No. 2 (Apr., 1982), pp. 685-691, Jstor.    
  57. Cowling's Theorem on a Dirichlet Finite Holomorphic Function in the Disk  
    Shinji Yamashita
    The American Mathematical Monthly, Vol. 87, No. 7 (Aug., 1980), pp. 551-552, Jstor.    
  58. Conformality and Semiconformality of a Function Holomorphic in the Disk  
    Shinji Yamashita
    Transactions of the American Mathematical Society, Vol. 245 (Nov., 1978), pp. 119-138, Jstor.    
  59. Holomorphic functions with polynomial growth.
    Jarnicki, Marek
    Proceedings of the First Finnish-Polish Summer School in Complex Analysis (Podlesice, 1977), Part I, pp. 153--184. Univ. L ód'z, L ód'z, 1978, MathSciNet.
  60. Numerical Analytic Continuation Of Holomorphic Functions In C**N.
    Meyer, Harold D.
    RAIRO Analyse Numerique/Numerical Analysis (Revue Francaise d'Automatique, d'Informatique et de Recherche Operationnelle), v 11, n 1, 1977, p 75-92, Compendex.
  61. Holomorphic continuation of smooth functions over Levi-flat hypersurfaces.
    Bedford, Eric
    Trans. Amer. Math. Soc. 232 (1977), 323--341, MathSciNet.
  62. Anti-Holomorphic Automorphisms of Arithmetic Automorphic Function Fields  
    Kuang-Yen Shih
    The Annals of Mathematics, 2nd Ser., Vol. 103, No. 1 (Jan., 1976), pp. 81-102, Jstor.    
  63. Rational Approximants To Holomorphic Functions In N-Dimensions.
    Lutterodt, C. H.
    Journal of Mathematical Analysis and Applications, v 53, n 1, Jan, 1976, p 89-98, Compendex.
  64. The Derivative of a Bounded Holomorphic Function in the Disk  
    Shinji Yamashita
    Proceedings of the American Mathematical Society, Vol. 53, No. 1 (Nov., 1975), pp. 60-64, Jstor.    
  65. Holomorphic functions with growth conditions.
    Petersen, Bent E.
    Trans. Amer. Math. Soc. 206 (1975), 395--406, MathSciNet.
  66. Holomorphic Solutions Of Singular Functional Differential Equations.
    Grimm,L. J.; Hall, L. M.
    Journal of Mathematical Analysis and Applications, v 50, n 3, Jun, 1975, p 627-638, Compendex.  
  67. Recapturing a Holomorphic Function on an Annulus from its Mean Boundary Values  
    Chin-Hung Ching; Charles K. Chui
    Proceedings of the American Mathematical Society, Vol. 41, No. 1 (Nov., 1973), pp. 120-126, Jstor.     
  68. Shorter Notes: A Holomorphic Function Having a Discontinuous Inverse  
    T. J. Suffridge
    Proceedings of the American Mathematical Society, Vol. 31, No. 2 (Feb., 1972), pp. 629-630, Jstor.    
  69. Minimum convexity of a holomorphic function. II  
    J. E. McMillan  
    Michigan Math J. 16 (1969), no. 1, 53-59.
  70. Minimum convexity of a holomorphic function  
    J. E. McMillan
    Michigan Math. J.  15 (1968), no. 2, 141--144.
  71. The Boundary Values of a Holomorphic Function  
    P. R. Chernoff
    The American Mathematical Monthly, Vol. 74, No. 7 (Aug., 1967), p. 843, Jstor.   
  72. On the Rate with which a Holomorphic Function in a Disk can Tend Radially to Zero  
    F. Schnitzer; W. Seidel
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 57, No. 4 (Apr., 1967), pp. 876-877, Jstor.     
  73. A Boundary Condition for a Holomorphic Function in a Jordan Region to be Schlicht  
    Frederick Bagemihl
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 58, No. 3 (Sep., 1967), pp. 1102-1103, Jstor.     
  74. Characerizations of the restriction of a holomorphic function to the boundary of a disk.
    Titus, C. J.
    J. Analyse Math. 18 1967 351--358, MathSciNet.
  75. A Proof of the Theorem: The Equation f(z) = 0 Has a Root Where f(z) is any Holomorphic Function of z  
    J. C. Fields
    American Journal of Mathematics, Vol. 8, No. 2 (Feb., 1886), pp. 178-179, Jstor.     

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006