Certain classes of multiple generating functions for some sets of polynomials in several variables

Authors

  • M.A. Pathan Department of Mathematics, University of Botswana, P/Bag 0022, Gaborone, Botswana Author
  • B.B. Jaimini Department of Mathematics, Government College, Kota - 324001 (Raj.), India Author
  • Shiksha Gautam Department of Mathematics, Government College, Kota - 324001 (Raj.), India Author

Keywords:

Lagrange's expansions, generating functions, summation formulae, Lauricella function

Subjects:

33C70, 33C47, 33C65

Abstract

In this paper some generating functions for some sets of polynomials in several variables are established.In these classes of generating functions an arbitrary sequence of multivariable functions is considered.The generating functions so derived are shown here to lead some known results of Raina, Raina and Bajpai and Zeitlin and are capableto provide as special cases, a large number of new summation formulas and generating functions for simpler sequences,extended polynomials and generalized Lauricella functions.

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Published

2011-01-15

Issue

Vol. 63 No. 1 (2011): Vol. 63, Issue 1

Section

Articles

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Copyright (c) 2011 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.