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Some Identities with Generalized Hypergeometric Functions |
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PP: 1729-1734 |
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doi:10.18576/amis/100511
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Author(s) |
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Vasily E. Tarasov,
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Abstract |
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| 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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