On computational formulas for parametric type polynomials and its applications

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, many formulas and identities for computing the r-parametric Hermite type polynomials are given with the help of generating functions. Using generating functions and algebraic methods, a relation is also given including these polynomials and the 2-variable Hermite Kampé de Fériet polynomials. Moreover, many relations and formulas containing the two parametric type of Apostol-Bernoulli polynomials of higher order, the two parametric type of Apostol-Euler polynomials of higher order, the two parametric type of Apostol-Genocchi polynomials of higher order and the Dickson polynomials are obtained. Finally, some special values of these polynomials and their applications with trigonometric functions are presented.

Açıklama

Anahtar Kelimeler

Kimya, Analitik, Matematik, Kimya, Uygulamalı, Kimya, Tıbbi, Generating functions, Apostol type numbers and polynomials, parametric type polynomials, special numbers and polynomials, Hermite type polynomials

Kaynak

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi

WoS Q Değeri

Scopus Q Değeri

Cilt

25

Sayı

1

Künye