Results 141 to 150 of about 509 (161)
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Orthogonality Associated with Bessel-Type Sheffer Sequences with Q-Parameters
Mathematical Notes, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tabinda Nahid
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On supplementary formulas for Sheffer sequences
Aequationes Mathematicae, 2015The paper contains four theorems. In the first one, the author presents necessary and sufficient conditions for the Sheffer sequence to satisfy the supplementary formula. In the last three ones, characterizations of Bernoulli, Euler and poly-Bernoulli polynomials are given.
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Umbral calculus and Sheffer sequences of polynomials [PDF]
Journal of Mathematical Physics, 2013 In this paper, we investigate some properties of Sheffer sequences of polynomials arising from umbral calculus. From these properties, we derive new and interesting identities between Sheffer sequences of polynomials. An application to normal ordering is presented.
Kim, Taekyun +4 more
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A matrix approach to some identities involving Sheffer polynomial sequences
Applied Mathematics and Computation, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taekyun Kim
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A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays⋆ [PDF]
Applied Mathematics and Computation, 2020 The significance of multi-variable special polynomials has been identified both in mathematical and applied frameworks. The article aims to focus on a new class of 3-variable Legendre-truncated-exponential-based Sheffer sequences and to investigate their
Mumtaz Riyasat +2 more
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Self-Inverse Sheffer Sequences
SIAM Journal on Mathematical Analysis, 1976The sequence of Laguerre polynomials is known to be self inverse in the group of Sheffer sequences, and our main goal here is to furnish a generating function characterization of all the self inverse Sheffer sequences. We present our result in the broader context of generalized Appell sequences of arbitrary order and obtain it by solving a system of ...
Brown, James Ward, Kuczma, Marek
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Inverse Relations for Certain Sheffer Sequences
SIAM Journal on Mathematical Analysis, 1981Let $s_n (x)(n = 0,1,2, \cdots )$ be a so-called Sheffer sequence of polynomials, and let $a_n (n = 0,1,2, \cdots )$ be a sequence of the type $a_n = yn + z$ where y and z are constants. An expansion formula for each polynomial $s_n (x)$ in terms of the sequence $s_n (x + a_n )(n = 0,1,2, \cdots )$ is derived, and the formula is illustrated by ...
Brown, J. W., Roman, S. M.
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On the Higher-Order Sheffer Orthogonal Polynomial Sequences
SpringerBriefs in Mathematics, 2013exaly +2 more sources
An algebraic approach to Sheffer polynomial sequences
Integral Transforms and Special Functions, 2013A matrix approach to Sheffer polynomial sequences is proposed; in particular, two different determinantal forms of Sheffer sequences are given, the one as the function of a polynomial sequence of binomial type and the other as the function of the canonical base xi.
Francesco Aldo Costabile +1 more
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