A New Generalization of <i>m</i>th-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

A New Generalization of <i>m</i>th-Order Laguerre-Based Appell Polynomials Associated with Two-Variable General Polynomials

This paper presents a novel generalization of the <i>m</i>th-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative and derivative operators,...

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Bibliographic Details
Main Authors: Waseem Ahmad Khan, Khidir Shaib Mohamed, Francesco Aldo Costabile, Shahid Ahmad Wani, Alawia Adam
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
Subjects:
Laguerre polynomials
mth-order Laguerre-based Appell polynomials
monomiality principle
explicit form
operational connection
recurrence relations
Online Access:https://www.mdpi.com/2227-7390/13/13/2179
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