Tilak Raj Prabhakar

Tilak Raj Prabhakar
Died1982
Boomerdes, Algeria
NationalityIndian
Alma materBenaras Hindu University (M.A., B.A.), University of Delhi (Ph.D.)
Known forPrabhakar function
Scientific career
FieldsMathematics
InstitutionsS.D. College, Multani Mal Modi College, Ramjas College, National Institute of Electricity and Electronics
Thesis Integral Equations and Special Functions  (1970)

Tilak Raj Prabhakar was an Indian mathematician specializing in special functions and integral equations. In a paper published in 1971,[1] he introduced a three-parameter extension of the Mittag-Leffler function. Subsequently, this function was to found to have numerous applications in various areas of mathematics like fractional calculus and also in certain areas of physics. The function has since been named "Prabhakar function" in honor of the person who had introduced it.[2][3]

  1. ^ T. R. Prabhakar (1971). "A singular integral equation with a generalized Mittag–Leffler function in the kernel". Yokohama Math. Journal. 19 (1): 7–15.
  2. ^ Andrea Giusti, Ivano Colombaro, Roberto Garra (2020). "A practical guide to Prabhakar fractional calculus". Fractional Calculus and Applied Analysis. 23 (1): 9–54. arXiv:2002.10978. doi:10.1515/fca-2020-0002. Retrieved 26 December 2023.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  3. ^ Francesco Mainardi and Roberto Garrappa (July 2015). "On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics". Journal of Computational Physics. 293: 70–80. arXiv:1610.01763. Bibcode:2015JCoPh.293...70M. doi:10.1016/j.jcp.2014.08.006. S2CID 29142283. Retrieved 26 December 2023.