Two parameter-dependent infinite integrals of products of modified Bessel functions and powers of logarithms are discussed for integer and half-integer values of the parameters. For most of these ...

In a recent publication [4] the author developed an extrapolation method, the $W$-transformation, for the accurate computation of convergent oscillatory infinite ...

ABSTRACT: In this paper, we study the relationship between the convergence of the sinusoidal series and the infinity integrals (any real number α ∈[0,1], parameter p > 0). First of all, we study the ...

Abstract: Infinite integrals involving the products of two and three Gaussian Q-functions of different arguments are solved in closed-form. These solutions provide ...

Abstract: The numerical evaluation of slowly convergent integrals with infinite limits and regularly oscillating analytic integrands is discussed. Functions are presented that can be subtracted from ...

The generalization of Shanks' $e$-transformation to double series is discussed and a class of nonlinear transformations, the $\lbrack A/S \rbrack_R$ transformations ...

Department of Chemistry and Biochemistry, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan Waseda Research Institute for Science and ...

Infinite integrals arising in perturbative expansions to quantum field theory have to be defined by means of a regularization procedure before they can be cancelled by a renormalization of the ...

For approximating integrals ƒ ∞ 0 x α ƒ(x)dx (α > −1) over a semi-infinite interval [0,∞) with a given function ƒ(x) , two formulae, one of them new and another associated with an existing formula, ...