The Mathematics Society Ambedkar University Delhi
Invites you to a talk By Dr. Jugal Kishore Prajapat, Professor Department of Mathematics, School of Mathematics, Statistics and Computational Sciences,
On Differential Equations in Complex Plane
Abstract: We are familiar with the differential equations in R, but very less known about the differential equations in the complex plane. The first attempt in this direction was made by Robertson [M. S. Robertson, Schlicht solution of W'' + pW = 0, Trans. Amer. Math. Soc. 76(1954), 254-274], in which he discussed the geometrical behaviour of a differential equation in open unit disk D = {z ∈ C : |z| < 1}. The main outcome of his work is If zp(z) be regular in D with |zp(z)| < 1, then the unique solution of
v''(z) + p(z)v(z) = 0 v(0) = 0, v'(0) = 1,
is a starlike conformal map of the unit disk.
Further, many researchers have considered first and second order linear differential equations in the complex plane. In the present lecture, we discuss about the differential equations in complex plane and their applications.
About The Speaker:
Dr. Jugal K. Prajapat is Professor in the Department of Mathematics of the Central University of Rajasthan since May 2017. Presently serving as HoD, Department of Mathematics and as Dean of School of Mathematics, Statistics and Computational Sciences. Dr. Prajapat studied at the University of Rajasthan for M.Sc. and PhD degrees and at the M.D.S. University for B.Sc. degree. He started his career as a Lecturer in 2000 and worked as Assistant Professor from August 2009 to April 2012, and as Associate Professor from April 2012 to May 2017 at the Department of Mathematics of the Central University of Rajasthan. Being as a first faculty member of the Central University of Rajasthan which was established in 2009, he contributed actively in the establishment and development activities of the university.