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]
Tilak Raj Prabhakar | |
|---|---|
| Died | 1982 Boomerdes, Algeria |
| Nationality | Indian |
| Alma mater | Benaras Hindu University (M.A., B.A.), University of Delhi (Ph.D.) |
| Known for | Prabhakar function |
| Scientific career | |
| Fields | Mathematics |
| Institutions | S.D. College, Multani Mal Modi College, Ramjas College, National Institute of Electricity and Electronics |
| Thesis | Integral Equations and Special Functions (1970) |
Education
editPrabhakar secured his M.A. and B.A. degrees from the Benaras Hindu University (India) and obtained his Ph.D. from the University of Delhi (India) in 1970 with a thesis on "Integral Equations and Special Functions".
Career
editInitially he taught at the S.D. College in Muzzaffarnagar. Then he joined the Multani Mal Modi College in Modinagar where he became Head of the Department of Mathematics and later he moved to the Ramjas College of the University of Delhi. His was an untimely demise. He was professor of mathematics at the National Institute of Electricity and Electronics in Boomerdes (Algeria) when he died in 1982.[4][5]
See also
editReferences
edit- ^ T. R. Prabhakar (1971). "A singular integral equation with a generalized Mittag–Leffler function in the kernel". Yokohama Math. Journal. 19 (1): 7–15.
- ^ 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) - ^ 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.
- ^ "Untimely demise of Dr. Tilak Raj Prabhakar". Ganita Bharati. 4 (1): i–ii. 1982.
- ^ Roberto Garra and Roberto Garrappa (March 2018). "The Prabhakar or three parameter Mittag–Leffler function: theory and application". Communications in Nonlinear Science and Numerical Simulation. 56: 314–329. arXiv:1708.07298. Bibcode:2018CNSNS..56..314G. doi:10.1016/j.cnsns.2017.08.018.