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Functional Equations for Products of Mellin Transforms

  • George E. Andrews
  • Bruce C. Berndt
Chapter

Abstract

Ramanujan examines functional equations for Mellin transforms.

Keywords

Functional Equation Variable Yield Trigonometric Function Similar Formula Arbitrary Real Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  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    S. Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa, New Delhi, 1988.Google Scholar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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