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Journal of the Ramanujan Mathematical Society

Volume 36, Issue 1, March 2021  pp. 23–32.

On integrals involving quotients of hyperbolic functions

Authors:  S. A. Dar and R. B. Paris
Author institution:Department of Applied Sciences and Humanities, Faculty of Engineering and Technology, Jamia Millia Islamia, New Delhi, 110 025, India

Summary:  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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