On computational formulas for parametric type polynomials and its applications
Küçük Resim Yok
Tarih
2023
Yazarlar
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