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Some Generating Functions for the Generalized Bessel Polynomials
Author(s) -
Chen MingPo,
Feng ChiaChin,
Srivastava H. M.
Publication year - 1992
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1992874351
Subject(s) - mathematics , bessel polynomials , bessel function , generalized hypergeometric function , hypergeometric function , bilinear interpolation , generating function , bessel process , special functions , pure mathematics , struve function , algebra over a field , wilson polynomials , jacobi polynomials , orthogonal polynomials , mathematical analysis , classical orthogonal polynomials , gegenbauer polynomials , statistics
The authors begin by presenting a systematic (historical) account of some linear generating functions for the generalized Bessel polynomials. It is then shown how these linear generating functions can be applied with a view to obtaining various new families of bilinear, bilateral, or mixed multilateral generating functions for the generalized Bessel polynomials. Some interesting generalizations of these classes of generating functions, involving hypergeometric functions, are also considered.