A Unified Operational and Algebraic Approach of ∆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 ∆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 Kurum Bilgileri Mucur Meslek Yüksekokulu Finans-Bankacılık ve Sigortacılık Bankacılık ve Sigortacılık Pr. Özgeçmiş Sayfası İletişim Bilgileri: (000)000-0000 Kırşehir Ahi Evran Üniversitesi, Türkiye
Shilpa Malge Symbiosis Institute Of Technology, Hindistan
Prakash Jadhav Srm University-Ap, Hindistan

Devamını Göster

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

Makale Türü	Özgün Makale
Makale Alt Türü	ESCI dergilerinde yayınlanan tam makale
Dergi Adı	European Journal of Pure and Applied Mathematics
Dergi ISSN	1307-5543 Wos Dergi Scopus Dergi
Makale Dili	İngilizce
Basım Tarihi	07-2025
Cilt No	18
Sayı	3
Doi Numarası	10.29020/nybg.ejpam.v18i3.6410

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A Unified Operational and Algebraic Approach of ∆h-Hybrid Polynomials Associated with Appell Sequences

Akademisyenler > Semra KUŞ > Yayın Detayı

A Unified Operational and Algebraic Approach of ∆h-Hybrid Polynomials Associated with Appell Sequences

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