Abstract
This paper aims to establish some new formulas and results related to the
Erdélyi-Kober fractional integral operator applied to the extended hypergeometric
functions. The results are expressed as the Hadamard product of the extended and
confluent hypergeometric functions. Some special cases of our main results are also
derived.
Keywords: Gamma Function, Beta function, Erdélyi-Kober fractional integral operators, Hadamard product, Gauss hypergeometric function, Confluent hypergeometric function, extended hypergeometric functions.