On a new identity for the H-function with applications to the summation of hypergeometric series

Arjun Kumar RATHIE; Luan Carlos De Sena Monteiro OZELIM; Pushpa Narayan RATHIE

Makale detayları

On a new identity for the H-function with applications to the summation of hypergeometric series

Yazarlar:

Arjun Kumar RATHIE | Luan Carlos De Sena Monteiro OZELIM | Pushpa Narayan RATHIE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.924-935

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745862

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Using generalized hypergeometric functions to perform symbolic manipulations of equations is of great importance to pure and applied scientists. There are in the literature a great number of identities for the Meijer-G function. On the other hand, when more complex expressions arise, that function is not capable of representing them. The H-function is an alternative to overcome this issue, as it is a generalization of the Meijer-G function. In the present paper, a new identity for the H-function is derived. In short, this result enables one to split a particular H-function into the sum of two other H-functions. The new relation in addition to an old result are applied to the summation of hypergeometric series. Finally, some relations between H-functions and elementary functions are built.

Makale detayları

On a new identity for the H-function with applications to the summation of hypergeometric series

Yazarlar: Arjun Kumar RATHIE | Luan Carlos De Sena Monteiro OZELIM | Pushpa Narayan RATHIE

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.924-935

Belge Tipi: Makale

Yayın Tarihi: 5/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745862

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Arjun Kumar RATHIE | Luan Carlos De Sena Monteiro OZELIM | Pushpa Narayan RATHIE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 3, pp.924-935

Belge Tipi:

Makale

Yayın Tarihi:

5/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745862

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098