S-generalized Mittag-Leffler Function and its Certain Properties

Praveen AGARWAL; Aysegul CETİNKAYA; Shilpi JAİN; İ. Onur KIYMAZ

doi:https://doi.org/10.36753/mathenot.578638

Makale detayları

S-generalized Mittag-Leffler Function and its Certain Properties

Yazarlar:

Praveen AGARWAL | Aysegul CETİNKAYA | Shilpi JAİN | İ. Onur KIYMAZ

Yayıncı:

Murat TOSUN

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Mathematical Sciences and Applications E-Notes 2019 Vol.7 Issue 2, pp.139-148

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000541859

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.578638

Özet:

 

In 2014, S-generalized beta function which consist ofseven parameters, defined and studied by Srivastava et al. [H. M.Srivastava, P. Agarwal and S. Jain, Generating functions for thegeneralized Gauss hypergeometric functions, Appl. Math. Comput., 247 (2014), pp. 348-352]. In this paper, by using S-generalizedbeta function, we introduce a new generalization of Mittag-Lefflerfunction. This new generalization of Mittag-Leffler function is consist of eleven parameters. We also investigate some of its certainproperties such as integral representations, recurrence formulas andderivative formulas by using classical and fractional derivatives.Furthermore, we determine its Mellin, beta and Laplace integraltransforms.  .

Makale detayları

S-generalized Mittag-Leffler Function and its Certain Properties

Yazarlar: Praveen AGARWAL | Aysegul CETİNKAYA | Shilpi JAİN | İ. Onur KIYMAZ

Yayıncı: Murat TOSUN

Ana Başlıklar: Uygulamalı fizik

Dergi: Mathematical Sciences and Applications E-Notes 2019 Vol.7 Issue 2, pp.139-148

Belge Tipi: Makale

Yayın Tarihi: 10/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000541859

Sıklık: Üç Aylık

eISSN: 2147-6268

DOI: https://doi.org/10.36753/mathenot.578638

Sayı

Yazarlar:

Praveen AGARWAL | Aysegul CETİNKAYA | Shilpi JAİN | İ. Onur KIYMAZ

Yayıncı:

Murat TOSUN

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Mathematical Sciences and Applications E-Notes 2019 Vol.7 Issue 2, pp.139-148

Belge Tipi:

Makale

Yayın Tarihi:

10/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000541859

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.578638