A note on new generating relations for functions of several variables
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- by D. P. Shukla PDF
- Proc. Amer. Math. Soc. 89 (1983), 101-108 Request permission
Abstract:
In this paper we have derived generating relations for functions of several variables by using the operator ${T_k} = x(k + xD)$ and the operational relations involving this operator. Some recent results of Srivastava and Panda [7] have been conveniently obtained by this method as well as some hitherto unknown results established.References
- B. L. Sharma and R. F. A. Abiodun, Generating function for generalized function of two variables, Proc. Amer. Math. Soc. 46 (1974), 69–72. MR 344536, DOI 10.1090/S0002-9939-1974-0344536-5
- D. P. Shukla, A note on generating relations for Lauricella’s function of several variables, Proc. Amer. Math. Soc. 73 (1979), no. 2, 199–206. MR 516464, DOI 10.1090/S0002-9939-1979-0516464-8
- Hari Ballabh Mittal, Some generating functions, Univ. Lisboa Rev. Fac. Ci. A (2) 13 (1969/70), 43–54. MR 308486
- Hari Ballabh Mittal, Polynomials defined by generating relations, Trans. Amer. Math. Soc. 168 (1972), 73–84. MR 294743, DOI 10.1090/S0002-9947-1972-0294743-8
- H. M. Srivastava, A generating function for certain coefficients involving several complex variables, Proc. Nat. Acad. Sci. U.S.A. 67 (1970), 1079–1080. MR 267152, DOI 10.1073/pnas.67.2.1079
- H. M. Srivastava, A new class of generating functions involving several complex variables, Nederl. Akad. Wetensch. Proc. Ser. A 74=Indag. Math. 33 (1971), 483–486. MR 0313551
- H. M. Srivastava and R. Panda, New generating functions involving several complex variables, Rend. Circ. Mat. Palermo (2) 29 (1980), no. 1, 23–41. MR 609680, DOI 10.1007/BF02844392
- H. M. Srivastava and R. G. Buschman, Some polynomials defined by generating relations, Trans. Amer. Math. Soc. 205 (1975), 360–370. MR 369770, DOI 10.1090/S0002-9947-1975-0369770-5
- H. M. Srivastava and Martha C. Daoust, On Eulerian integrals associated with Kampé de Fériet’s function, Publ. Inst. Math. (Beograd) (N.S.) 9(23) (1969), 199–202. MR 245845
- L. Carlitz and H. M. Srivastava, Some hypergeometric polynomials associated with the Lauricella function $F_{D}$ of several variables. I, Mat. Vesnik 13(28) (1976), no. 1, 41–47. MR 407335
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 101-108
- MSC: Primary 33A30; Secondary 33A65
- DOI: https://doi.org/10.1090/S0002-9939-1983-0706519-8
- MathSciNet review: 706519