A New Family of Appell-Type Changhee Polynomials with Geometric Applications

Recently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials. We introduce two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"...

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Bibliographic Details
Main Authors: Rashad A. Al-Jawfi, Abdulghani Muhyi, Wadia Faid Hassan Al-shameri
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/13/2/93
Description
Summary:Recently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials. We introduce two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Changhee polynomials (2VGAT<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>CHP). The generating function, series representations, and summation identities related to these polynomials are explored. Further, certain symmetry identities involving two-variable generalized Appell-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>λ</mi></semantics></math></inline-formula>-Changhee polynomials are established. Finally, Mathematica was used to examine the zero distributions of two-variable truncated-exponential Appell-type Changhee polynomials.
ISSN:2075-1680