The Journal of the Indian Mathematical Society

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On Some Definite Integrals


Affiliations
1 Department of Mathematics, Saveetha Engineering College, Thandalam, Chennai-600 106, Tamil Nadu, India
     

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We evaluate of some integrals that involving powers with exponentials and trigonometric functions through infinite series. Further, we evaluate integrals involving various combinations of gamma function with powers, trigonometric and hyperbolic functions using Ramanujan method.

Keywords

Definite Integrals, Algebraic Recursive Method, Infinite Series, Gamma Function, Lerch Function.
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Abstract Views: 244

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  • On Some Definite Integrals

Abstract Views: 244  |  PDF Views: 0

Authors

Ramesh Kumar Muthumalai
Department of Mathematics, Saveetha Engineering College, Thandalam, Chennai-600 106, Tamil Nadu, India

Abstract


We evaluate of some integrals that involving powers with exponentials and trigonometric functions through infinite series. Further, we evaluate integrals involving various combinations of gamma function with powers, trigonometric and hyperbolic functions using Ramanujan method.

Keywords


Definite Integrals, Algebraic Recursive Method, Infinite Series, Gamma Function, Lerch Function.

References