A note on generating relations for Lauricella’s function of several variables
HTML articles powered by AMS MathViewer
- by D. P. Shukla PDF
- Proc. Amer. Math. Soc. 73 (1979), 199-206 Request permission
Abstract:
In this paper we have derived generating relations for Lauricella’s function by using the operator ${T_k} = x(k + xD)$ and the operational relations involving this operator. Some recent results of Srivastava [3], Srivastava and Carlitz [4], Sharma and Abiodun [1] 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
- 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, DOI 10.1016/S1385-7258(71)80056-2
- 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
- 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
- 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
- R. P. Agarwal, An extension of Meijer’s $G$-function, Proc. Nat. Inst. Sci. India Part A 31 (1965), 536–546 (1966). MR 204717
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 199-206
- MSC: Primary 33A30
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516464-8
- MathSciNet review: 516464