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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.3 Antofagasta ago. 2019

http://dx.doi.org/10.22199/issn.0717-6279-2019-03-0037 

Articles

Note on extended hypergeometric function

Ranjan Kumar Jana1 
http://orcid.org/0000-0001-5017-4189

Bhumika Maheshwari2 

Ajay Kumar Shukla3 
http://orcid.org/0000-0002-2713-2017

1Sardar Vallabhbhai National Institute of Technology (SVNIT), Department of Applied Mathematics & Humanities, Surat, Gujarat, India. e-mail : rkjana2003@yahoo.com

2Sardar Vallabhbhai National Institute of Technology (SVNIT), Department of Applied Mathematics & Humanities, Surat, Gujarat, India. e-mail : bhumi0512@gmail.com

3Sardar Vallabhbhai National Institute of Technology (SVNIT), Department of Applied Mathematics & Humanities, Surat, Gujarat, India. e-mail : ajayshukla2@rediffmail.com

Abstract

In this paper, we present an extension of the classical hypergeometric functions using extended gamma function due to Jumarie and obtained some properties.

Keywords: Gamma function; Pochhammer symbols; Hypergeometric functions; Integral transforms; Fractional calculus.

Mathematics Subject Classification (2010):  33B15; 33C05; 33C20; 44A05; 26A33

Texto completo disponible sólo en PDF.

Full text available only in PDF format.

Acknowledgement

This work was partially supported by SERB, Govt. of India, Research Project No. EMR/2016/000351, sanctioned to the author RKJ. The authors are grateful to the anonymous referee(s) for their valuable suggestions, which resulted in the improvement of the paper.

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Received: May 2018; Accepted: July 2018

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