Address

Dr. Vibhuti Arora, 

Department of Mathematics 

National Institute of Technology Calicut 

NIT Campus (P.O)-673601, Kozhikode, Kerala 

Research Publications and Citation Details

 ORCID ID: 0000-0003-2408-0765  orcid.org/0000-0003-2408-0765 

Scopus ID: 57204524723  www.scopus.com/authid/detail.uri?authorId=57204524723 

Google Scholar ID: 4X3qG7AAAAAJ scholar.google.com/citations?hl=en%5C&authuser=1%5C&user=4X3qG7AAAAAJ 

Conferences and Workshops Attended

• Mathematics for Artificial intelligence MAI2023, January 16- 20, 2023, National Institute of Technology Calicut, India

• 27th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, August 12 - 16, 2019, Siberian Federal University, Krasnoyarsk, Russia

• Workshop on "Complex Analysis and Complex Dynamics for Teachers and Research Scholars", December 10 - 22, 2018, Indian Institute of Technology Tirupati, India.

• Participated in the workshop on "Planar Harmonic Mappings and Quasi-Conformal Mappings", March 19 - 23, 2018, Central University of Rajasthan, Kishangarh, India

• GIAN Course on "Quasiconformal Mappings and their Applications, December 11 - 16, 2017, Indian Institute of Technology Indore, India

• Annual Foundation Schools (AFS-III), June 20 - July 16, 2016, IISER Thiruvananthapuram, India

• Annual Foundation Schools (AFS-II), May 16 - June 11, 2016, Bhaskaracharya Pratishthana, Pune, India

• Mini MTTS Programme, December 18 -24, 2010, Banasthali University, Rajasthan, India

Publications

Accepted

10. V. Allu, V. Arora, Second Hankel determinant of logarithmic coefficients of certain analytic functions to appear in Rocky Mountain Journal of Mathematics.

2023

9. V. Allu, V. Arora, Bohr-Rogosinski type inequalities for concave univalent functions, J. Math. Anal. Appl., 520 (2023), 126845

8. V. Allu, V. Arora, and A. Shaji, On the Second Hankel determinant of Logarithmic Coefficients for certain univalent functions, Mediterranean Journal of Mathematics, 20 (2023) 81.

2022 

7. V. Arora, Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces, Complex Var Elliptic Equ., https://doi.org/10.1080/17476933.2022.2146106

6. V. Arora, Initial Successive Coefficients for Certain Classes of Univalent Functions, Lobachevskii Journal of  Mathematics, 43 (2022), 2080–2091.

2021

5. V. Arora and S. K. Sahoo, Area estimates of images of disks under analytic functions, Acta Math. Sin. (Engl. Ser.), 37 (2021), 1533 - 1548.

4. V. Arora, S. K. Sahoo and S. Singh, Approximation of certain non-vanishing analytic functions in a parabolic region, Results Math., 76 (2021), Art. No: 163, 1 - 15.

2019

3. V. Arora, S. Ponnusamy, and S. K. Sahoo, Successive coefficients for spirallike and related functions, Rev.  R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 113 (2019), 2969 - 2979.

2. S. Agrawal, V. Arora, M. R. Mohapatra, and S. K. Sahoo, Area problem for univalent functions in the unit disk with quasiconformal extension to the plane, Bull. Iranian Math. Soc, 45 (4) (2019), 1061 - 1069.

2018

1. V. Arora and S. K. Sahoo, Meromorphic functions with small Schwarzian derivative, Stud. Univ. Babeş-Bolyai Math., 63 (3) (2018), 355 - 370.

Ph.D. Scholar

1. Vinayak M. (Ongoing)