On integrals involving quotients of hyperbolic functions

S. A. Dar; R. B. Paris

On integrals involving quotients of hyperbolic functions

S. A. Dar^*, R. B. Paris

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We evaluate some integrals over [0,∞) of quotients of powers of the hyperbolic functions sinh x and cosh x using a hypergeometric approach. Some of these results appear to be new but several verify the entries in the table of integrals of Gradshteyn and Rhyzik.

Original language	English
Pages (from-to)	23-32
Number of pages	10
Journal	Journal of the Ramanujan Mathematical Society
Volume	36
Issue number	1
Early online date	1 Mar 2021
Publication status	Published - 1 Mar 2021

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http://www.mathjournals.org/jrms/2021-036-001/2021-036-001-003.html

Cite this

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title = "On integrals involving quotients of hyperbolic functions",

abstract = "We evaluate some integrals over [0,∞) of quotients of powers of the hyperbolic functions sinh x and cosh x using a hypergeometric approach. Some of these results appear to be new but several verify the entries in the table of integrals of Gradshteyn and Rhyzik.",

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AB - We evaluate some integrals over [0,∞) of quotients of powers of the hyperbolic functions sinh x and cosh x using a hypergeometric approach. Some of these results appear to be new but several verify the entries in the table of integrals of Gradshteyn and Rhyzik.

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JO - Journal of the Ramanujan Mathematical Society

JF - Journal of the Ramanujan Mathematical Society

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