The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On Some Definite Integrals


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

   Subscribe/Renew Journal


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.
Subscription Login to verify subscription
User
Notifications
Font Size


  • B. C. Bernt, Ramanujan’s Notebooks, Part-II, Springer-Verlag, New York, 1989.

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

  • R. K. Muthumalai, On some definite integrals connecting with certain infinite series,J. Indian Math. Soc., Vol 77, No 1-4,(2010), 117–128.

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

  • S. Ramanujan, Some definite integrals, Mess. Math, XLIV, (1915), 10–18.


Abstract Views: 245

PDF Views: 0




  • On Some Definite Integrals

Abstract Views: 245  |  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