Jñānābha‎, Vol. 48 (1) (2018), 72-78

ON CERTAIN SPECIAL CASES OF EXISTENCE CONDITIONS OF I-FUNCTION

Vandana Jat
Department of Mathematics, Patel Group of Institutions, Bhopal,
V.P. Saxena
Sagar Institute of Research, Technology and Science, Bhopal,
P.L. Sanodia
Institute for Excellence in Higher Education, Bhopal


Abstract 

In this paper we discuss the existence conditions of I-function using the definition of Gamma function. We make use of the asymptotic behavior of Gamma function and employ the same in the complex integral form of I-function. The present condition of I-function is expanded using the definition of Gamma function as a geometric progression with some special cases. 

Keywords and phrases. E-function, G-function, H-function, I-function, Gammafunction. 
2010 Mathematics Subject Classification. 33C70; Secondary 45E05. 

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