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ON THE GENERATING FUNCTIONS OF THE NEWLY DEFINED GENERALIZED HYPERGEOMETRIC FUNCTIONS    
Yazarlar
Enes Ata
Prof. Dr. İsmail Onur KIYMAZ Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this paper, we have de ned new generalizations of some hypergeometric functions and fractional operators with the help of Fox-Wright function. Then, using each of the generalized fractional operators, we derived linear and bilinear generating function relations for these functions. Finally, we have shown that the newly de ned hypergeometric functions and fractional operators can be reduced to functions and operators presented in many studies in the literature by giving special values for their parameters.
Anahtar Kelimeler
Beta function | Fox-Wright function | fractional operators | generating functions | hypergeometric functions
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı TWMS Journal Of Applied And Engineering Mathematics
Dergi ISSN 2146-1147
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 01-2024
Cilt No 14
Sayı 1
Sayfalar 64 / 78
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 1
Google Scholar 1

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