Vol. 22 (2012)
Articles

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

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

Published 2012-01-15

DOI:

https://doi.org/10.71712/

Keywords

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

How to Cite

Ramesh Kumar Muthumalai. (2012). 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/

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.

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