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Apparent integrals mounted with the Bessel-Struve kernel function. (English) Zbl 1426.33004

Summary: The veritable pursuit of this exegesis is to exhibit integrals affined with the Bessel-Struve kernel function, which are explicitly inscribed in terms of generalized (Wright) hypergeometric function and also the product of generalized (Wright) hypergeometric function with sum of two confluent hypergeometric functions. Somewhat integrals involving exponential functions, modified Bessel functions and Struve functions of order zero and one are also obtained as special cases of our chief results.

MSC:

33B15 Gamma, beta and polygamma functions
26B20 Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.)
33C20 Generalized hypergeometric series, \({}_pF_q\)
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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