Evaluations of some terminating hypergeometric 2F1(2)2F1(2)_2F_1(2) series with applications

Yong Sup KIM; Arjunkumar RATHIE; Richard B. PARIS

Makale detayları

Evaluations of some terminating hypergeometric 2F1(2)2F1(2)_2F_1(2) series with applications

Yazarlar:

Yong Sup KIM | Arjunkumar RATHIE | Richard B. PARIS

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2563-2575

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745781

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Explicit expressions for the hypergeometric series 2F1(−n,a;2a±j;2)2F1(−n,a;2a±j;2)_2F_1(-n, a; 2a\pm j;2) and 2F1(−n,a;−2n±j;2)2F1(−n,a;−2n±j;2)_2F_1(-n, a; -2n \pm j;2)  for positive integer nnn and arbitrary integer jjj are obtained with the help of generalizations of Kummer's second and third summation theorems obtained earlier by Rakha and Rathie. Results for |j|≤5|j|≤5|j|\leq 5 derived previously using different methods are also obtained as special cases. Two applications are considered, where the first summation formula is applied to a terminating 3F2(2)3F2(2)_3F_2(2) series and the confluent hypergeometric function  1F1(x)1F1(x)_1F_1(x).

Makale detayları

Evaluations of some terminating hypergeometric 2F1(2)2F1(2)_2F_1(2) series with applications

Yazarlar: Yong Sup KIM | Arjunkumar RATHIE | Richard B. PARIS

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2563-2575

Belge Tipi: Makale

Yayın Tarihi: 9/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745781

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Yong Sup KIM | Arjunkumar RATHIE | Richard B. PARIS

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 5, pp.2563-2575

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745781

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098