Communications of the
Korean Mathematical Society CKMS

Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo \emph{et al.} \cite{Lu-Mi-Ag}. Some interesting special cases of our main results are also considered.

Keywords: gamma function, beta function, extended beta function, generalized hypergeometric functions, extended generalized hypergeometric functions, decomposition formula, integral transforms, fractional integral operators

MSC numbers: Primary 26A33, 33B15, 33C05, 33C15, 33C20, 44A10, 44A20; Secondary 33B99, 33C99