On some Definite Integrals Connecting with Certain Infinite Series


Affiliations

  • Sindhi College of Arts and Science, Department of Mathematics, Chennai, Tamil Nadu, 77, 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.

Subject Discipline

Mathematical Sciences

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References

T. M. Apostal, Mathematical Analysis, 2 Ed, Addison-Wesley Publishing Company, 1974.

I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products, 6 Ed, Academic Press, New York, 2000.

S. Ramanujan, On question 330 of Professor Sanjana, J. Indian Math. Soc., IV (1912), 59 – 61.


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