Asymptotic representations for hypergeometric-Bessel type function and fractional integrals (Q1860509)

Integrals are considered that are generalizations of the Laplace-type integral representation of the \(\Psi\) (or \(U\)) confluent hypergeometric function. Expansions at the origin and at infinity are given and relations with the \(\Psi\) function and the \(K\) Bessel function are given as special cases. Next, fractional integrals of Liouville type and Erdélyi-Kober type are considered, and expansions at the orgin and at infinity of the integrals are given, as well as for three other fractional intgrals.