Tilak Raj Prabhakar

Tilak Raj Prabhakar
Born	Boumerdès, Algeria
Died	1982 (1983)
Alma mater	Benaras Hindu University (BA, MA) University of Delhi (PhD, 1970)
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)

Tilak Raj Prabhakar was an Indian mathematician specializing in special functions and integral equations. In a paper published in 1971, he introduced a three-parameter extension of the Mittag-Leffler function. ^[1] Subsequently, this function was found to have 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 his honor. ^{[2] [3]}

Education

Prabhakar received his M.A. and B.A. degrees from the Benaras Hindu University (India) and obtained his PhD. from the University of Delhi in 1970 with his thesis on "Integral Equations and Special Functions".

Career

Initially, 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. He was professor of mathematics at the National Institute of Electricity and Electronics in Boomerdès, Algeria when he died in 1982. ^{[4] [5]}

See also

• Prabhakar function

References

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.
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.
4. "Untimely demise of Dr. Tilak Raj Prabhakar". Ganita Bharati. 4 (1): i–ii. 1982.
5. 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.