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)

Alexander Apelblat; Naftali Kravitsky

doi:10.1093/imamat/34.2.187

Integral representations of derivatives and integrals with respect to the order of the bessel functions J_v(t), I_v(t), the anger function J_v(t) and the integral bessel function Ji_v(t)

Alexander Apelblat, Naftali Kravitsky

Department of Chemical Engineering

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

Integral representations of integrals and derivatives with respect to the order of the Bessel functions J_v(t) I_v(t), the integral Bessel function Ji_v(t) and the Anger function J_v(t) are presented. The Laplace transform technique is applied to derive them. The integral representations permit the evaluation of a number of trigonometric integrals.

Original language	English
Pages (from-to)	187-210
Number of pages	24
Journal	IMA Journal of Applied Mathematics
Volume	34
Issue number	2
DOIs	https://doi.org/10.1093/imamat/34.2.187
State	Published - 1 Mar 1985

ASJC Scopus subject areas

Applied Mathematics

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10.1093/imamat/34.2.187

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title = "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)",

abstract = "Integral representations of integrals and derivatives with respect to the order of the Bessel functions Jv(t) Iv(t), the integral Bessel function Jiv(t) and the Anger function Jv(t) are presented. The Laplace transform technique is applied to derive them. The integral representations permit the evaluation of a number of trigonometric integrals.",

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Integral representations of derivatives and integrals with respect to the order of the bessel functions J_v(t), I_v(t), the anger function J_v(t) and the integral bessel function Ji_v(t). / Apelblat, Alexander; Kravitsky, Naftali.
In: IMA Journal of Applied Mathematics, Vol. 34, No. 2, 01.03.1985, p. 187-210.

Research output: Contribution to journal › Article › peer-review

TY - JOUR

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AU - Apelblat, Alexander

AU - Kravitsky, Naftali

PY - 1985/3/1

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N2 - Integral representations of integrals and derivatives with respect to the order of the Bessel functions Jv(t) Iv(t), the integral Bessel function Jiv(t) and the Anger function Jv(t) are presented. The Laplace transform technique is applied to derive them. The integral representations permit the evaluation of a number of trigonometric integrals.

AB - Integral representations of integrals and derivatives with respect to the order of the Bessel functions Jv(t) Iv(t), the integral Bessel function Jiv(t) and the Anger function Jv(t) are presented. The Laplace transform technique is applied to derive them. The integral representations permit the evaluation of a number of trigonometric integrals.

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Integral representations of derivatives and integrals with respect to the order of the bessel functions J_v(t), I_v(t), the anger function J_v(t) and the integral bessel function Ji_v(t)

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