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Related Experiment Videos

A generating function for certain coefficients involving several complex variables.

H M Srivastava1

  • 1DEPARTMENT OF MATHEMATICS, UNIVERSITY OF VICTORIA, VICTORIA, BRITISH COLUMBIA, CANADA.

Proceedings of the National Academy of Sciences of the United States of America
|October 1, 1970
PubMed
Summary
This summary is machine-generated.

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Researchers unified generating functions for generalized hypergeometric polynomials using Lagrange

Area of Science:

  • Mathematics
  • Special Functions
  • Polynomials

Background:

  • Generalized hypergeometric polynomials are crucial in various mathematical fields.
  • Existing generating functions lack a unified framework, necessitating new approaches.

Purpose of the Study:

  • To unify diverse generating functions for generalized hypergeometric polynomials.
  • To establish a general generating relation for n-dimensional polynomials with arbitrary coefficients.

Main Methods:

  • Application of Lagrange's expansion formula.
  • Specialization of polynomial coefficients.

Main Results:

  • A novel generating relation for n-dimensional polynomials with arbitrary coefficients was proven.

Related Experiment Videos

  • The generalized Lauricella function was identified as a specific case, serving as a generating function for multivariate hypergeometric polynomials.

    • Conclusions:

    • The study successfully unifies generating functions for generalized hypergeometric polynomials.
    • The established framework provides a versatile tool for analyzing and deriving new results in the field of special functions and polynomials.