English

On some definite integrals connecting with certain infinite series

General Mathematics 2011-12-21 v3

Abstract

We show some definite integrals connecting to infinite series, studied in Ramanujan's paper, titled "On question 330 of Professor Sanjana". We present few recursive methods to evaluate these definite integrals in various cases and we generalize this, to evaluate simliar kind of integrals through infinite series.

Keywords

Cite

@article{arxiv.0812.5090,
  title  = {On some definite integrals connecting with certain infinite series},
  author = {Ramesh Kumar Muthumalai},
  journal= {arXiv preprint arXiv:0812.5090},
  year   = {2011}
}

Comments

12 pages, Paper published

R2 v1 2026-06-21T11:56:40.441Z