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Expansions involving hypergeometric functions of two variables


Author: Arun Verma
Journal: Math. Comp. 20 (1966), 590-596
MSC: Primary 33.20
DOI: https://doi.org/10.1090/S0025-5718-1966-0203103-8
MathSciNet review: 0203103
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  • [1] R. P. Agarwal, "An extension of Meijer's $ G$-functions," Proc. Nat. Inst. Sci. Sect. A, v. 32, 1965.
  • [2] P. Appell & J. Kampé de Fériet, Fonctions Hypergeometriques et Hyperspheriques, Gauthier-Villars, Paris, 1926.
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  • [9] C. S. Meijer, a) "Expansion theorems for the $ G$-functions," I, II, Nederl. Akad. Wetensch. Proc. Ser. A 55 = Indag. Math., v. 14, 1952, pp. 369-379, 483-487. MR 14, 469; MR 14, 642.
  • 1. b) ibid., III, IV, V, Nederl. Akad. Wetensch. Proc. Ser. A 56 = Indag. Math., v. 15, 1953, pp. 43-49, 187-193, 349-357. MR 14, 748; MR 14, 979; MR 15, 422.
  • 2. c) ibid., VI, VII, VIII, Nederl. Akad. Wetensch. Proc. Ser. A 57 = Indag. Math., v. 16, 1954, pp. 77-82, 83-91, 273-279. MR 15, 791; MR 15, 955.
  • 3. d) ibid., IX, Nederl. Akad. Wetensch. Proc. Ser. A 58 = Indag. Math., v. 17, pp. 243-251. MR 16, 1106.
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  • [11] F. M. Ragab, "Expansions of Kampé de Fériet's double hypergeometric functions of higher order," J. Reine. Angew. Math., v. 212, 1963, pp. 113-119. MR 27 #352. MR 0150351 (27:352)
  • [12] A. Verma, "A class of expansions of $ G$-functions and Laplace transform," Math. Comp., v. 19, 1965, pp. 661-664.

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DOI: https://doi.org/10.1090/S0025-5718-1966-0203103-8
Article copyright: © Copyright 1966 American Mathematical Society

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