Certain classes of polynomial expansions and multiplication formulas

Authors:
Kung-Yu Chen;Chuan-Jen Chyan;H. M. Srivastava
Affiliations:
Department of Mathematics, Tamkang University Tamsui 25137, Taiwan, R.O.C.;Department of Mathematics, Tamkang University Tamsui 25137, Taiwan, R.O.C.;Department of Mathematics and Statistics, University of Victoria Victoria, British Columbia V8W 3P4, Canada
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2003

Citing 3
Cited 1

Solving connection and linearization problems within the Askey scheme and its q-analogue via inversion formulas

Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
Some connection and linearization problems for polynomials in and beyond the Askey scheme

Journal of Computational and Applied Mathematics - Special issue on orthogonal polynomials, special functions and their applications
Some q-generating functions and associated generalized hypergeometric polynomials

Mathematical and Computer Modelling: An International Journal

Direct spreading measures of Laguerre polynomials

Journal of Computational and Applied Mathematics

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Abstract

The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler polynomials is then considered in an analogous manner. Several general multiplication formulas, involving (for example) certain families of generalized hypergeometric polynomials, are also investigated in the context especially of the classical Jacobi, Laguerre, and other related orthogonal polynomials.