Improper integrals associated with the inverse Laplace transforms of [ln(s2 + a2)]-n, n = 1, 2

A. Apelblat; N. Kravitsky

doi:10.1002/(sici)1521-4001(199808)78:8<565::aid-zamm565>3.3.co;2-r

Improper integrals associated with the inverse Laplace transforms of [ln(s² + a²)]^-n, n = 1, 2

A. Apelblat
, N. Kravitsky

Department of Chemical Engineering

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

5 Scopus citations

Abstract

A group of improper logarithmic integrals was evaluated using the complex inversion formula and other rules of the Laplace transformation. In the special case a = 0, the integrals are related to the integral representation of the Volterra function ν(t) and the Gregory numbers.

Original language	English
Pages (from-to)	565-570
Number of pages	6
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	78
Issue number	8
DOIs	https://doi.org/10.1002/(sici)1521-4001(199808)78:8<565::aid-zamm565>3.3.co;2-r
State	Published - 1 Jan 1998

ASJC Scopus subject areas

Computational Mechanics
Applied Mathematics

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10.1002/(sici)1521-4001(199808)78:8<565::aid-zamm565>3.3.co;2-r

Cite this

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abstract = "A group of improper logarithmic integrals was evaluated using the complex inversion formula and other rules of the Laplace transformation. In the special case a = 0, the integrals are related to the integral representation of the Volterra function ν(t) and the Gregory numbers.",

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AB - A group of improper logarithmic integrals was evaluated using the complex inversion formula and other rules of the Laplace transformation. In the special case a = 0, the integrals are related to the integral representation of the Volterra function ν(t) and the Gregory numbers.

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Improper integrals associated with the inverse Laplace transforms of [ln(s² + a²)]^-n, n = 1, 2

Abstract

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