On a Class of Definite Integrals


Affiliations

  • Saveetha Engineering College, Department of Mathematics, Chennai, 600 106, India

Abstract

We derive some elementary results from Laplace integral formula. Using this, we show evaluation of a class of definite integrals in the combinations of powers, exponentials with standard functions, either by recursively or directly. Further, we derive some identities on parabolic cylinder function, modified Bessel function of the second kind, Meijer's G-function, etc.

Keywords

Definite Integral, Special Functions, Infinite Series, Identities.

Subject Discipline

Mathematical Sciences

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References

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R. K. Muthumalai, On some definite integrals connecting with certain infinite series, J. Indian Math. Soc., 77 (2010), 117–128.

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


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