A study on certain properties of generalized special functions defined by Fox-Wright function
Yazarlar (2)
Enes Ata Kirsehir Ahi Evran University
Prof. Dr. İsmail Onur KIYMAZ Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
Dergi Adı Applied Mathematics and Nonlinear Sciences
Dergi ISSN 2444-8656 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler MathSciNet
Makale Dili İngilizce Basım Tarihi 03-2020
Cilt / Sayı / Sayfa 5 / 1 / 147–162 DOI 10.2478/amns.2020.1.00014
Makale Linki https://content.sciendo.com/view/journals/amns/5/1/article-p147.xml
Özet
AbstractIn this study, motivated by the frequent use of Fox-Wright function in the theory of special functions, we first introduced new generalizations of gamma and beta functions with the help of Fox-Wright function. Then by using these functions, we defined generalized Gauss hypergeometric function and generalized confluent hypergeometric function. For all the generalized functions we have defined, we obtained their integral representations, summation formulas, transformation formulas, derivative formulas and difference formulas. Also, we calculated the Mellin transformations of these functions.
Anahtar Kelimeler
Gamma function | Beta function | Fox-Wright function | Gauss hypergeometric function | Confluent hypergeometric function
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 20
A study on certain properties of generalized special functions defined by Fox-Wright function

Paylaş

İletişim
  • Kırşehir Ahi Evran Üniversitesi Bağbaşı Yerleşkesi, 40100, KIRŞEHİR \ TÜRKİYE
  • unis@ahievran.edu.tr
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