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Research Article

Polyanalytic Neumann-n problem in the unit disk

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Received 06 Sep 2023, Accepted 22 Dec 2023, Published online: 26 Jan 2024

References

  • Vekua IN. Generalized analytic functions. Sneddon IN, translator and editor. International Series of Monographs on Pure and Applied Mathematics. Vol. 25. Oxford: Pergamon Press; 1962; Reading (MA): Addison-Wesley. 1962.
  • Begehr H. Complex analytic methods for partial differential equations. An introductory text. Singapore: World Sci; 1994.
  • Begehr H. Boundary value problems in complex analysis. Bol Asoc Mat Venezolana. 2005;XII:Part I, 65–85; Part II, 217–250.
  • Gilbert RP. Function theoretic methods in partial differential equations. New York: Academic Press; 1969.
  • Gilbert RP. Constructive methods for elliptic equations. Berlin: Springer; 1974. (Lecture Notes in Mathematics; 365).
  • Begehr H, Gilbert RP. Transformations, transmutations, and kernel functions, I. Harlow: Longman; 1992.
  • Begehr H, Gilbert RP. Transformations, transmutations, and kernel functions, II. Singapore: Harlow; 1993.
  • Begehr H, Hile GN. A hierarchy of integral operators. Rocky Mt J Math. 1997;27:669–706. doi: 10.1216/rmjm/1181071888
  • Akel M, Begehr H, Mohammed A. A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function. Appl Anal. 2022;101(11):3816–3824. doi: 10.1080/00036811.2021.1986028
  • Begehr H, Shupeyeva B. Polyanalytic boundary value problems for planar domains with harmonic Green function. Anal Math Phys. 2021;11(3):22. Paper No. 137. doi: 10.1007/s13324-021-00569-2
  • Akel M, Begehr H, Mohammed A. Integral representations in the complex plane and iterated boundary value problems. Rocky Mt J Math. 2022;52:381–413. doi: 10.1216/rmj.2022.52.381
  • Aksoy Ü, Begehr H, Çelebi AO, et al. Complex partial differential equations. Itogi Nauki I Tekhniki. 2020;188:54–69. (Russian).
  • Aksoy Ü, Begehr H, Çelebi AO. A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem. Complex Var Elliptic Equ. 2019;64(8):1257–1274. doi: 10.1080/17476933.2018.1504039
  • Aksoy Ü, Begehr H, Çelebi AO. A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem revisited. Complex Var Elliptic Eqs. 2021;66(4):583–585. doi: 10.1080/17476933.2020.1730825

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