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
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 | Ingilizce | 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 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 -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 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 | |
| Scopus | 1 |
| Google Scholar | 2 |