A Unified Operational and Algebraic Approach of $$\Delta_h$$-Hybrid Polynomials Associated with Appell Sequences

Alqurashi, Taghreed; Khan, Waseem Ahmad; Wani, Shahid Ahmad; KUŞ, SEMRA; Malge, Shilpa; Jadhav, Prakash

doi:10.29020/nybg.ejpam.v18i3.6410

A Unified Operational and Algebraic Approach of $$\Delta_h$$-Hybrid Polynomials Associated with Appell Sequences

Yazarlar (6)

Taghreed Alqurashi Al Baha University, Suudi Arabistan

Waseem Ahmad Khan Prince Mohammad Bin Fahd University, Suudi Arabistan

Shahid Ahmad Wani Symbiosis Institute Of Technology, Hindistan

Dr. Öğr. Üyesi Semra KUŞ Kırşehir Ahi Evran Üniversitesi, Türkiye

Shilpa Malge Symbiosis Institute Of Technology, Hindistan

Prakash Jadhav Srm University-Ap, Hindistan

Makale Türü	Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı	European Journal of Pure and Applied Mathematics
Dergi ISSN	1307-5543 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler	ESCI, Scopus
Makale Dili	İngilizce	Basım Tarihi	08-2025
Cilt / Sayı / Sayfa	18 / 3 / 6410–6410	DOI	10.29020/nybg.ejpam.v18i3.6410
Makale Linki	https://doi.org/10.29020/nybg.ejpam.v18i3.6410

Özet

This study introduces a new class of ∆h Legendre-Laguerre-Appell polynomials, constructed through the synergy of the monomiality framework and operational calculus. A comprehensive exploration is carried out, beginning with the formulation of their generating function, followed by the derivation of explicit representations and recurrence schemes. Notably, a determinantal structure for these polynomials is also established and illustrated through representative examples. The work further investigates how this polynomial family interrelates with well-known ∆h-variants of classical polynomials, including the Bernoulli, Euler, and Genocchi types. Through these connections and properties, the results not only deepen our understanding of the algebraic and analytic behaviour of the ∆h Legendre-Laguerre-Appell polynomials but also highlight their potential applications in broader areas of discrete mathematics and operational theory.

Anahtar Kelimeler

Determinant form | Examples | Explicit forms | Monomiality principle | Operational formalism

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
Google Scholar	1

A Unified Operational and Algebraic Approach of $$\Delta_h$$-Hybrid Polynomials Associated with Appell Sequences

Dergi Adı	European Journal of Pure and Applied Mathematics
Yayıncı	New York Business Global
Açık Erişim	Hayır
ISSN	1307-5543
E-ISSN	1307-5543
CiteScore	1,8
SJR	0,360
SNIP	1,057

A Unified Operational and Algebraic Approach of $$\Delta_h$$-Hybrid Polynomials Associated with Appell Sequences

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