The Journal of the Indian Mathematical Society

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On Some Definite Integrals from Ramanujan's Notebooks


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1 Department of Mathematics, Saveetha Engineering College, Saveetha Nagar, Thandalam, Chennai - 602 105, India
     

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Some definite integrals involving powers of inverse trigonometric functions that are found in the chapter 9 of Ramanujan notebooks (Part-I) are evaluated through elementary methods. Further, we present some identities connecting integrals with some infinite series and infinite products.

Keywords

Definite Integrals, Special Functions, Infinite Series, Infinite Products, Ramanujan's Notebooks.
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  • On Some Definite Integrals from Ramanujan's Notebooks

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Authors

Ramesh Kumar Muthumalai
Department of Mathematics, Saveetha Engineering College, Saveetha Nagar, Thandalam, Chennai - 602 105, India

Abstract


Some definite integrals involving powers of inverse trigonometric functions that are found in the chapter 9 of Ramanujan notebooks (Part-I) are evaluated through elementary methods. Further, we present some identities connecting integrals with some infinite series and infinite products.

Keywords


Definite Integrals, Special Functions, Infinite Series, Infinite Products, Ramanujan's Notebooks.