TWO FORMULAS CONTIGUOUS TO A QUADRATIC TRANSFORMATION DUE TO KUMMER WITH AN APPLICATION

Junesang CHOİ; arjun K. RATHİE

Makale detayları

TWO FORMULAS CONTIGUOUS TO A QUADRATIC TRANSFORMATION DUE TO KUMMER WITH AN APPLICATION

Yazarlar:

Junesang CHOİ | arjun K. RATHİE

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 6, pp.885-894

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000453597

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

We aim at establishing two identities contiguous to Kummer’s transformation :(1 − z)−a2F1" 12a, 12a +12;b +12;z1 − z2#= 2F1a, b ;2b ;2zby using two different methods. They are further applied to prove two summation formulas for the series 3F2(1), closely related to the classical Watson’s theorem due to Lavoie.

Makale detayları

TWO FORMULAS CONTIGUOUS TO A QUADRATIC TRANSFORMATION DUE TO KUMMER WITH AN APPLICATION

Yazarlar: Junesang CHOİ | arjun K. RATHİE

Yayıncı: Hacettepe University

Ana Başlıklar: Analiz

Dergi: Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 6, pp.885-894

Belge Tipi: Makale

Yayın Tarihi: 5/2011

Belge Dili: İngilizce

Document ID (Org No.): 2000453597

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Junesang CHOİ | arjun K. RATHİE

Yayıncı:

Hacettepe University

Ana Başlıklar:

Analiz

Dergi:

Hacettepe Journal of Mathematics and Statistics 2011 Vol.40 Issue 6, pp.885-894

Belge Tipi:

Makale

Yayın Tarihi:

5/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000453597

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X