On some definite integrals connecting with sums related to inverse tangent function

Ramesh Kumar Muthumalai

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

Definite integrals, infinite products, inverse tangent function, Ramanujan notebooks

Ramesh Kumar Muthumalai

Department of Mathematics, D.G. Vaishnav college, Chennai-600106, Tamil Nadu, India.

Abstract

Some definite integrals are evaluated through sums related to inverse tangent function that found in chapter 2 of Ramanujan notebooks, Part-I. In addition, integrals involving complicated arguments of inverse tangent function are evaluated through in nite products.

Issue

Vol. 22 (2012)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Ramesh Kumar Muthumalai. (2025). On some definite integrals connecting with sums related to inverse tangent function. Scientia Series A: Mathematical Sciences, 22, 101-107. https://doi.org/10.71712/