Results 151 to 160 of about 612 (176)

Self-Inverse Sheffer Sequences

SIAM Journal on Mathematical Analysis, 1976
The 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, 1981
Let $s_n (x)(n = 0,1,2, \cdots )$ 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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A characterization of the exponential symmetric Sheffer sequences

Integral Transforms and Special Functions, 2020
A polynomial sequence (sn(x))n∈N is symmetric, or self-dual, if sn(m)=sm(n) for all m,n=0,1,2,….
Weiping Wang, Ke Zhang
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Orthogonality Associated with Bessel-Type Sheffer Sequences with Q-Parameters

Mathematical Notes, 2022
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Riyasat, M., Nahid, T., Khan, S.
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An algebraic approach to Sheffer polynomial sequences

Integral Transforms and Special Functions, 2013
A 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, Elisabetta Longo   +1 more
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Umbral calculus and Sheffer sequences of polynomials

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, Kim, Dae San, Mansour, Toufik, Rim, Seog-Hoon, Schork, Matthias   +4 more
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Congruences for Sheffer sequences [PDF]

Australas. J Comb.
Let \(\{P_{n}(x)\}_{n\in\mathbb{N}}\) be the sequence of Scheffer polynomials, i.e., the sequence coming from the power series expansion \[ g(t)e^{xf(t)}=\sum_{n=0}^{\infty}\frac{P_{n}(x)}{n!}t^{n}, \] where \(f(t)=\sum_{n=0}^{\infty}f_{n}t^{n}/n!, g(t)=\sum_{n=0}^{\infty}g_{n}t^{n}/n!\) are formal power series with \(f_{0}=0\) and \(g_{0}, f_{1}\neq 0\
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A matrix approach to some identities involving Sheffer polynomial sequences

Applied Mathematics and Computation, 2015
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Dae San Kim, Taekyun Kim 0001
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A note on the post quantum-Sheffer polynomial sequences

Forum Mathematicum
Abstract In this article, the post quantum analogue of Sheffer polynomial sequences is introduced using concepts of post quantum calculus. The series representation, recurrence relations, determinant expression and certain other properties of this class are established.
Khan, Subuhi, Haneef, Mehnaz
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Symmetric Sheffer sequences and their applications to lattice path counting

Journal of Statistical Planning and Inference, 1996
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