Research Interests
Complex Analysis, Orthogonal Polynomials and Special Functions, Functional Analysis: Operator Theory and Approximation Theory
BioSketch
Research
Orthogonal Polynomials on the unit circle
UNESP, SJ, SP, Brazil
Geometric Function Theory
Universiti Sains Malaysia, Penang, Malaysia
Finite Class of Classical Orthogonal Polynomials
Universidad Carlos III de Madrid, Leganes, Madrid, Spain
Interlacing of zeros of special functions
University of Pretoria, South Africa
Gamma functions and Stieltjes representation
University of Copenhagen, Denmark
Geometric properties of Pick functions
ENS Lyon France
Honors And Awards
Teaching Engagements
Students
Geometric properties of hypergeometric type functions using positivity theory
01 Jan 2006 - 19 Oct 2010
Other Supervisors: , Scholar: Saiful R Mondal
Finite class of classical orthogonal polynomials
01 Jan 2008 - 01 Nov 2011
Other Supervisors: , Scholar: Pradeep Malik
Geometric properties of hypergeometric type functions and their q-analogue
01 Jan 2008 - 01 Oct 2012
Other Supervisors: , Scholar: Raghavendar K
Geometric properties of integral transforms of a second order differential inequality
01 Jan 2010 - 01 Apr 2015
Other Supervisors: , Scholar: Satwanti Devi
Representations and Monotonic properties related to triple gamma functions
01 Jan 2012 - 05 Sep 2017
Other Supervisors: , Scholar: Sourav Das
Generalized Positivity Techniques applied to hypergeometric type functions
01 Jan 2013 - 30 Apr 2018
Other Supervisors: , Scholar: Priyanka Sangal
Biorthogonality of R1, R2 polynomials and Complementary Chain sequences
01 Jan 2013 - 25 Oct 2018
Other Supervisors: , Scholar: Kiran Kumar Behera
Geometric Properties of Starlike functions associated with a Nephroid domain
01 Jan 2016 - 23 Oct 2020
Other Supervisors: , Scholar: Lateef Ahmad Wani
Structural relations, zeros and Biorthogonality of modified R-I and R-II polynomials
01 Jan 2018 - 15 Jul 2023
Other Supervisors: , Scholar: Vinay Shukla
Quasi-Natured Spectral Polynomials: Orthogonality, Zeros and Specific Norm Type Inequalities, India
01 Jan 2019 - 24 Mar 2025
Other Supervisors: , Scholar: Vikash Kumar
Selected topics in Function Spaces
01 Jan 2019 - Present
Other Supervisors: , Scholar: Neha
Spectral Transformation
12 Feb 2021 - Present
Other Supervisors: , Scholar: Deepshikha Mishra
Fractional operators in Orthogonal Polynomials
27 Jul 2021 - Present
Other Supervisors: , Scholar: Rabab Ahmad Beirkdar
Spectral Theory and Orthogonal Polynomials
02 Aug 2021 - Present
Other Supervisors: , Scholar: Sourav Majumder
Miscellaneous
LaTex Programming 2019 in Department of Mathematics, NIT Jamshedpur
31 Aug 2020 - Present
TEQIP III
International Conference on Mathematical Analysis and its Applications ICMAA 2016 27 Nov-02 Dec 2016
31 Aug 2020 - Present
DST, NBHM, ISRO, CSIR, INSA, Forum, IMU, SCUBE
STC on Complex Analysis, Fourier Analysis, Special Functions (with mathematical Software Techniques)
31 Aug 2020 - Present
TEQIP-II
International Conference of Mathematics and Computer science
21 Nov 2020 - 29 Nov 2020
University of Rzeszow, Poland
International Conference on Special Functions and its Applications 2020 (ICSFA-2020)
22 Dec 2020 - 23 Dec 2020
Society for Special Functions and its Applications (SSFA)
Geometric properties of Hypergeometric type functions
31 Aug 2020 - Present
Annual Foundation School I, I.I.T. Delhi
01 Jan 2017 - Present
National Center for Mathematics, I.I.T. Bombay and TIFR Mumbai
Orthogonal Polynomials and Special Functions (using Mathematical Software)
31 Aug 2020 - Present
AICTE, QIP
Positivity Techniques in Geometric Function Theory
31 Aug 2020 - Present
Complex Analysis, Fourier Series and Special Functions (with outline on the Mathematical Software)
31 Aug 2020 - Present
TEQIP-II
Orthogonal Polynomials and Special Functions (using Mathematical Software)
01 Jan 2013 - Present
QIP, AICTE
15th International Symposium on Orthogonal Polynomials, Special Functions and applications, OPSFA 15
31 Aug 2020 - Present
OPSF, SIAM
International Conf. on Orthogonal Polynomials and Holomorphic Dynamics OPDS 2018, Aug 14-17, 2018
31 Aug 2020 - Present
Technical University of Denmark
VII IberoAmerican Workshop on Orthogonal Polynomials and Applications
31 Aug 2020 - Present
UC3M, ICMAT Spain
14th International Symposium on Orthogonal Polynomials, Special Functions and Applicaitons, OPSFA 14
31 Aug 2020 - Present
International Conference on Special Functions and its Applicaitons
31 Aug 2020 - Present
Dunkl Operators, Special Functions, Harmonic Analysis
31 Aug 2020 - Present
13th International Symposium on Orthogonal Polynomials, Special Functions and Applications, OPSFA 13
31 Aug 2020 - Present
SIAM, USA
12th International Symposium on Orthogonal Polynomials, Special Functions and Applications
31 Aug 2020 - Present
OPSFA, SIAM
11th International Symposium on Orthogonal Polynomials, Special Functions and Applications
31 Aug 2020 - Present
OPSFA, SIAM
National Seminar on Recent advances in Mathematics
01 Jan 2011 - Present
AICTE
International Conference in Mathematics
01 Jan 2011 - Present
DST
International conference in Mathematics and Statistics 2010
01 Jan 2010 - Present
American Mathematical Society
Asian Mathematical Congress
01 Jan 2009 - Present
Malaysian Math. Society
Pre ICM Conference
01 Jan 2008 - Present
NBHM, AMS
International Conference in Geometric Function Theory
01 Jan 2008 - Present
Istanbul Kultur University, Turkey
