The Journal of the Indian Mathematical Society

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An Integral of Ramanumn and The Space of Rapidly Decreasing Functions


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1 Department of Mathematics, Madurai Kamar University, Madurai-625021, India
     

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Let us denote by R(x) the Ramanujan function given by R(x) = e-πx2 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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  • An Integral of Ramanumn and The Space of Rapidly Decreasing Functions

Abstract Views: 233  |  PDF Views: 0

Authors

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

Abstract


Let us denote by R(x) the Ramanujan function given by R(x) = e-πx2 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].