In this paper, we consider some identities of a special form of the generalized hypergeometric functions 1F2(a;b, c; z) of real argument z. This special form is important for application in fractional calculus and fractional dynamics. The suggested functions stand out among other generalized hypergeometric functions by the power-law form of its Fourier transforms. Identities for infinite series and integrals, which include these generalized hypergeometric functions, are proved.
Digital Object Identifier (DOI)
E. Tarasov, Vasily
"Some Identities with Generalized Hypergeometric Functions,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 11.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss5/11