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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 10 > No. 5


Some Identities with Generalized Hypergeometric Functions

PP: 1729-1734
Vasily E. Tarasov,
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.

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