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Generating function for generalized function of two variables


Authors: B. L. Sharma and R. F. A. Abiodun
Journal: Proc. Amer. Math. Soc. 46 (1974), 69-72
MSC: Primary 33A30
DOI: https://doi.org/10.1090/S0002-9939-1974-0344536-5
MathSciNet review: 0344536
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Abstract: In this paper we obtain a generating function for a generalized function of two variables. The result is very general in character and includes as particular cases some of the results recently given by Meijer [4], Carlitz [7] and Srivastava [5].


References [Enhancements On Off] (What's this?)

  • [1] A. Erdélyi, Higher transcendental functions. Vol. I. The hypergeometric function, Legendre functions, McGraw-Hill, New York, 1953. MR 15, 419.
  • [2] B. L. Sharma, On the generalized function of two variables. I, Ann. Soc. Sci. Bruxelles Sér. I 79 (1965), 26-40. MR 31 #2425. MR 0178167 (31:2425)
  • [3] -, On the generalized function of two variables. II, III (Communicated for publication).
  • [4] C. S. Meijer, Expansion theorems for the $ G$-function. II, Nederl. Akad. Wetensch. Proc. Ser. A 55 = Indag. Math. 14 (1952), 483-487. MR 14, 642. MR 0052587 (14:642k)
  • [5] H. M. Srivastava, Generating functions for Jacobi and Laguerre polynomials, Proc. Amer. Math. Soc. 23 (1969), 590-595. MR 40 #2935. MR 0249694 (40:2935)
  • [6] J. W. Brown, On zero type sets of Laguerre polynomials, Duke Math. J. 35 (1968), 821-823. MR 38 #2348. MR 0234027 (38:2348)
  • [7] L. Carlitz, Some generating functions for Laguerre polynomials, Duke Math. J. 35 (1968), 825-827. MR 39 #1700. MR 0240351 (39:1700)
  • [8] T. W. Chaundy, Expansion of hypergeometric functions, Quart. J. Math. Oxford Ser. 13 (1942), 159-171. MR 4, 197. MR 0007819 (4:197d)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0344536-5
Keywords: Generalized function of two variables, Appell function
Article copyright: © Copyright 1974 American Mathematical Society

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