Generating Functions and Recurrence Relations for Generalized Two Variable k-Hypergeometric Polynomials
Küçük Resim Yok
Tarih
2025
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Association of Mathematicians (MATDER)
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we present the sum expressions and generating function relations for the generalized k-hypergeometric polynomials in two variables. The methods used here are inspired by previous works, such as those found in [21,23,24]. We establish several theorems and demonstrate their applications for the generalized two variable k-hypergeometric polynomials, providing their integral representation. Furthermore, we explore various recurrence relations for the generalized polynomials In,k (α; β; x, y), as discussed in references (3.2) and (3.4). The results presented are expected to contribute to the further understanding and application of these polynomials in mathematical and applied contexts. © MatDer.
Açıklama
Anahtar Kelimeler
Gamma and beta k-function, generalized two variable k−hypergeometric polynomials, generating function, integral representation, multilinear and multilateral generating functions, recurrence relations
Kaynak
Turkish Journal of Mathematics and Computer Science
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
17
Sayı
2
