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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Polynomials defined by generating relations

Author: Hari Ballabh Mittal
Journal: Trans. Amer. Math. Soc. 168 (1972), 73-84
MSC: Primary 33A70
MathSciNet review: 0294743
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Abstract: Various authors have made efforts for finding new generating functions for known polynomial sets. In the present paper, by making use of the operator ${T_k} = x(k + xD)$, a number of generating functions and characterizations have been obtained for various polynomials in a systematic manner.

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Keywords: Generating functions, Laguerre polynomials, operational methods, Lagrange’s expansion formula, operational generating formula, characterizations, formal power series, operational representations, generalized Laguerre polynomials, generalized Hermite polynomial, Bessel polynomial, Jacobi polynomial, Bedient’s polynomial
Article copyright: © Copyright 1972 American Mathematical Society