Integral Representations of Derivatives and Integrals with Respect to the Order of the Bessel Functions Jv(t), Iv(t), the Anger Function Jv(t) and the Integral Bessel Function Jiv(t)

^*To whom Correspondence should be addressed. On sabbatical leave in the University of Alberta, Department of Chemical Engineering, Edmonton, Alberta, Canada, T6G 2G6. Integral representations of integrals and derivatives with respectto the order of the Bessel functions J_v(t) I_v(t), the integralBessel function Ji_v(t) and the Anger function J_v(t) are presented.The Laplace transform technique is applied to derive them. Theintegral representations permit the evaluation of a number oftrigonometric integrals.