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APPARENT INTEGRALS MOUNTED WITH THE BESSEL-STRUVE KERNEL FUNCTION

Khan, N.U.;Khan, S.W.

  • Received : 2018.07.17
  • Accepted : 2019.01.14
  • Published : 2019.03.25

Abstract

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.

Keywords

Gamma function;generalized Hypergeometric function $_pF_q$;generalized (Wright) hypergeometric functions $_p{\Psi}_q$;Bessel-Struve kernel function $S_{\alpha}({\lambda}z)$;Macrobart integral formula and Edward integral formula;Fourier cosine transform;Fourier sine transform;Mellin transform