Finite sum representations for partial derivatives of special functions with respect to parameters

Buschman, R. G.

doi:10.1090/S0025-5718-1974-0371019-7

Finite sum representations for partial derivatives of special functions with respect to parameters
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by R. G. Buschman PDF

Math. Comp. 28 (1974), 817-824 Request permission

Abstract:

The Mellin transformation is used as a method for discovery of cases where the partial derivatives with respect to parameters for certain Whittaker and Bessel functions can be expressed in terms of finite sums involving these functions. These results are easily generalized to the G-function, from which, by specialization, formulas involving hypergeometric and other functions can be obtained.

References

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