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Dr. Virendra Kumar
Assistant Professor
Department of Mathematics, Ramanujan College, University of Delhi, Block H, Kalkaji, Near Deshbandhu College, New Delhi, 110019
E-mail: vktmaths@yahoo.in
About Me: Currently working as an Assistant Professor at Department of Mathematics, Ramanujan College, University of Delhi. Earlier, I worked as a Researcher, Department of Applied Mathematics, Pukyong National University, Busan, South, Korea during March 2017 to March 2018. Prior to this, I worked as an Assistant Professor & In-Charge, Department of Mathematics. I did ph D. (Mathematics, Complex Analysis) from Delhi Technology University (formerly Delhi College of Engineering), Delhi, India (Feb 2010-May 2015). My field of research is the Geometric Function Theory.
Experience:
Experience:
Post Doc. (Pukyong National University, Busan, South Korea): March 2017-March 2018
Assistant Professor (Central University of Haryana, Mahendergarh): July 2015-March 2017
Ph.D. (Delhi Technological University, Delhi): Feb 2010-May 2015.
Lecturer (SDCET, Ghaziabad): August 2008-Jan 2010.
Thesis Title: Differential Subordination, Coefficients Estimate and Radius Constants of Certain Analytic Functions.
Thesis Supervisor: Dr. S. Sivaprasad Kumar, Assistant Professor, Dept. of Applied Mathematics, Delhi Technological University, Delhi-110042, India
Thesis Description: Thesis deals with many differential subordination, superordination, sandwich type results and coefficient estimates for certain classes of analytic functions, on the investigation of radius problems associated with analytic functions with positive real part also done The thesis also explores various applications of differential subordination techniques in this way many current results are generalized in this thesis and also many current results are improved. Thesis is mainly focused on subordination theorems, coefficient estimates and radius constants of analytic functions.
Current Research: There are several results related to the coefficient in Geometric Function Theory which are not exact. The reason for this is that authors have used triangle inequality in abundantly and this results in a much larger difference between the expected and received estimates. The exact estimates for get the number of triangle inequality in the form of a different representation. At present we are working on radius problems and applications of differential subordination to the univalent functions with different geometrically defined classes. Different classes of analytic functions for special classes (specially related to bi-univalent functions and sharp bound for Hankel determinants).
Area of Interests: Differential subordination and super-ordination, Coefficient estimates, Radius Problems, Properties of Linear Operators, Length Problem.
Specialization: Complex Analysis (Geometric Function Theory)
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