Scientific Research Publishing

Analytical Evaluation of Non-Elementary Integrals Involving Some Exponential, Hyperbolic and Trigonometric Elementary Functions and Derivation of New Probability Measures ...

School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada.
IEEE

Solutions to Generalized Integrals Involving the Generalized Marcum

Abstract: We investigate analytic solutions for three generalized integrals involving arbitrary powers, generalized Marcum Q-function, and exponential functions, which are more general than the ...
IEEE

Solutions to Integrals Involving the Marcum

Abstract: Novel analytic solutions are derived for integrals that involve the generalized Marcum Q-function, exponential functions and arbitrary powers. Simple closed-form expressions are also derived ...
Scientific Research Publishing

Freud, G. (1976) On the Coefficients in the Recursion Formulae of Orthogonal Polynomials. Proceedings of the Royal Irish Academy, 76, 1-6.

ABSTRACT: The non-elementary integrals involving elementary exponential, hyperbolic and trigonometric functions, andwhere α,ηandβ are real or complex constants are evaluated in terms of the confluent ...
JSTOR Daily

Some Definite Integrals of the Product of Two Bessel Functions of the Second Kind: (Order Zero)

Mathematics of Computation, Vol. 28, No. 126 (Apr., 1974), pp. 613-615 (7 pages) A new integral representation is derived for the expression $J_0(z)J_0(Z) + Y_0(z ...