Evaluation of some definite integrals through arctangent function and infinite products

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, arctangent function, Ramanujan notebooks, special functions

Ramesh Kumar Muthumalai

Department of Mathematics, Saveetha Engineering College, Saveetha Nagar, Thandalam, Chennai -602 105, Tamil Nadu, India.

Abstract

Some integrals involving elementary functions and special functions such as exponential integral, psi function, etc., are evaluated through arctangent function, infinite series and infinite products.

Issue

Vol. 24 (2013)

Section

Articles

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

How to Cite

Ramesh Kumar Muthumalai. (2025). Evaluation of some definite integrals through arctangent function and infinite products. Scientia Series A: Mathematical Sciences, 24, 78-89. https://doi.org/10.71712/