Determinant forms, difference equations and zeros of the \(q\)-Hermite-Appell polynomials
type: Item
instance of: scholarly article
title: Determinant forms, difference equations and zeros of the \(q\)-Hermite-Appell polynomials
zbMATH Open document ID: 1402.11030
author: Subuhi Khan
author: Tabinda Nahid
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: The present paper intends to introduce the hybrid form of \(q\)-special polynomials, namely \(q\)-Hermite-Appell polynomials by means of generating function and series definition. Some significant properties of \(q\)-Hermite-Appell polynomials such as determinant definitions, \(q\)-recurrence relations and \(q\)-difference equations are established. Examples providing the corresponding results for certain members belonging to this \(q\)-Hermite-Appell family are considered. In addition, graphs of certain \(q\)-special polynomials are demonstrated using computer experiment. Thereafter, distribution of zeros of these \(q\)-special polynomials is displayed.
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 11B37
zbMATH DE Number: 6994861
zbMATH Keywords: \(q\)-Appell polynomials
zbMATH Keywords: \(q\)-Hermite polynomials
zbMATH Keywords: \(q\)-Hermite-Appell polynomials
zbMATH Keywords: \(q\)-recurrence relations
zbMATH Keywords: \(q\)-difference equations
MaRDI profile type: Publication
full work available at URL: math6110258
OpenAlex ID: W2901461185
cites work: Q4222737
cites work: Q3728386
cites work: Lie theory and \(q\)-Appell functions
cites work: Q5400469
cites work: q-Appell polynomials
cites work: q‐Bernoulli numbers and polynomials
cites work: Q3424087
cites work: On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials
cites work: Identities involving q-Genocchi numbers and polynomials
cites work: Difference equations of \(q\)-Appell polynomials
cites work: Some characterizations of Appell and q-Appell polynomials
cites work: Around \(q\)-Appell polynomial sequences
cites work: A study on \(q\)-Appell polynomials from determinantal point of view
cites work: Differential equation of Appell polynomials via the factorization method
cites work: On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials
cites work: A numerical investigation of the roots ofq-polynomials
cites work: A note on \(q\)-Bernoulli numbers and polynomials
cites work: Q4791643
cites work: Quasi *-algebras of measurable operators
cites work: Q3876492
cites work: \(WQ^\ast\)-algebras of measurable operators
cites work: Representations of certain Banach \(C^*\)-modules
cites work: Representations of modules over a*-algebra and related seminorms
DOI: 10.3390/MATH6110258
description: scientific article; zbMATH DE number 6994861