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Erdélyi-Kober Fractional Integrals in the Many Real Scalar Variables Case

  • A. M. Mathai
  • H. J. Haubold
Chapter
Part of the SpringerBriefs in Mathematical Physics book series (BRIEFSMAPHY, volume 31)

Abstract

When going from a one-variable function to many-variable function there is no unique one to one correspondence. Many types of multivariate functions can be considered when one has the preselected one-variable function. Hence there is nothing called the multivariate analogue of a univariate operator or univariate integral. Hence we construct one multivariate operator here which is analogous to a one variable Erdélyi-Kober fractional integral operator of the second kind or first kind. Other such analogues can be defined. The second kind fractional integrals will be considered first. In this chapter, multivariate case means the case of many real scalar variables.

References

  1. 1.
    A.M. Mathai, Fractional integral operators involving many matrix variables. Linear Algebra Appl. 446, 196–215 (2014)MathSciNetCrossRefGoogle Scholar

Copyright information

© The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • A. M. Mathai
    • 1
  • H. J. Haubold
    • 2
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada
  2. 2.Office for Outer Space Affairs United NationsViennaAustria

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