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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

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


Note on extended hypergeometric function

Ranjan Kumar Jana1

Bhumika Maheshwari2 

Ajay Kumar Shukla3

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

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

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


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.


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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