A Study on $q$-Appell Polynomials from Determinantal Point of View
Marzieh Eini Keleshteri, Nazim I. Mahmudov
TL;DR
This paper introduces a determinantal definition for $q$-Appell polynomials, explores their classical properties, and uncovers new characteristics through this novel perspective.
Contribution
It provides the first determinantal framework for $q$-Appell polynomials, enhancing understanding and revealing new properties of these polynomials.
Findings
Determinantal definition of $q$-Appell polynomials
Classical properties re-derived using the new definition
Identification of novel properties of $q$-Appell polynomials
Abstract
This research is aimed to give a determinantal definition for the -Appell polynomials and show some classical properties as well as find some interesting properties of the mentioned polynomials in the light of the new definition.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Advanced Mathematical Theories and Applications