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QUASI MONOMIALITY AND LINEARIZATION COEFFICIENTS FOR SHEFFER POLYNOMIAL SETS
Conference proceeding

QUASI MONOMIALITY AND LINEARIZATION COEFFICIENTS FOR SHEFFER POLYNOMIAL SETS

Hamza Chaggara
DIFFERENCE EQUATIONS, SPECIAL FUNCTIONS AND ORTHOGONAL POLYNOMIALS, pp.90-99
01/01/2007

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we express explicitly the linearization coefficients between three polynomial sets of Sheffer type using their cot-responding lowering operators. We obtain some well known results as particular cases. A Crofton-type formula is derived. As application, we give linearization coefficients for Could-Hopper polynomials as well as some reduction formulae for Kampe de Feriet functions.

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