The Journal of the Indian Mathematical Society

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On some Definite Integrals Connecting with Certain Infinite Series


Affiliations
1 Department of Mathematics, Sindhi College of Arts and Science, Chennai-77, Tamil Nadu, India
     

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

Keywords

Definite Integrals, Question 330 of Professor Sanjana.
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  • On some Definite Integrals Connecting with Certain Infinite Series

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Authors

Ramesh Kumar Muthumalai
Department of Mathematics, Sindhi College of Arts and Science, Chennai-77, Tamil Nadu, India

Abstract


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

Keywords


Definite Integrals, Question 330 of Professor Sanjana.