• On an integral over the surface ofN-dimensional unit sphere

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      https://www.ias.ac.in/article/fulltext/pram/020/02/0131-0135

    • Keywords

       

      Eigennvalues of matrices; Gaussian distribution; N-dimensional integrals-

    • Abstract

       

      An integral which occurs in the new matrix ensembles and the width fluctuation factor is evaluated using a transformation which changes a Gaussian into an exponential. It is expressed in the form of a series whose terms are found using a simple recursion relation. It is shown that the series can be summed in closed form for the two-dimensional case.

    • Author Affiliations

       

      Nazakat Ullah1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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