Functional Equations for Products of Mellin Transforms

  • George E. Andrews
  • Bruce C. Berndt


Ramanujan examines functional equations for Mellin transforms.


Functional Equation Variable Yield Trigonometric Function Similar Formula Arbitrary Real Number 
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  1. 115.
    A. Erdélyi, ed., Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York, 1954.Google Scholar
  2. 126.
    I.S. Gradshteyn and I.M. Ryzhik, eds., Table of Integrals, Series, and Products, 5th ed., Academic Press, San Diego, 1994.Google Scholar
  3. 134.
    A.P. Guinand, A class of Fourier kernels, Quart. J. Math. (Oxford) (2) 1 (1950), 191–193.Google Scholar
  4. 269.
    S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa, New Delhi, 1988.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • George E. Andrews
    • 1
  • Bruce C. Berndt
    • 2
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA
  2. 2.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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