An Integral of Ramanumn and The Space of Rapidly Decreasing Functions

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Authors

  • V. Karunakaran
     Department of Mathematics, Madurai Kamar University, Madurai-625021 ,IN
  • T. Soundararajan
     Department of Mathematics, Madurai Kamar University, Madurai-625021 ,IN

Abstract

Let us denote by R(x) the Ramanujan function given by R(x) = e-Ï€x2 Sech x.

R(x) belongs to L1(R) and Ramanujan himself has calculated Its Fourier Transfonn and several definite integrals connected with R(x) in [I] and [2].

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Published

1989-12-01

How to Cite

Karunakaran, V., & Soundararajan, T. (1989). An Integral of Ramanumn and The Space of Rapidly Decreasing Functions. The Journal of the Indian Mathematical Society, 54(1-4), 85–94. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/21875

Issue

Volume 54, Issue 1-4, January-December 1989

Section

Articles

License

Copyright (c) 1989 V. Karunakaran, T. Soundararajan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.