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Dr. Vibhuti Arora
Dr. Vibhuti Arora
Asst. Professor (grade II)
Office Address:
Department of Mathematics National Institute of Technology Calicut NIT Campus (P.O)-673601, Kozhikode, Kerala
Ph.D: IIT Indore
Post-Doctoral Research: IIT Bhubaneswar
Educational Qualifications
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Ph.D: IIT Indore
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Post-Doctoral Research: IIT Bhubaneswar
2024
11. V. Allu, V. Arora, Second-Hankel Determinant of Logarithmic Coefficients of Certain Analytic Functions, Rocky Mountain J. Math. 54(2) (2024), 343-359.
2023
10. V. Arora, S. Ponnusamy, S.K. Sahoo, and T. Sugawa, Successive coefficients for functions in the spirallike family, Bulletin des sciences mathematiques, 188 (2023), Article ID: 103323.
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.
Research:
Specialization: Complex Analysis
Ph.D. Scholar: Vinayak M. (Ongoing)
PG Dissertation:
- Shilpa, "ON BOHR’S INEQUALITY", May 2023.
- Anusree K P, Properties of Univalent Functions, May 2024.
Teaching:
- MA6213E Measure Theory: 2023-24 Winter semester
- MA 6321 Complex Analysis: 2022-23 Winter semester
- MA2002D Mathematics-IV: 2022-23, 2023-24 Winter semester
- MA2001D Mathematics-III: 2022-23 Monsoon (Course coordinator), 2023-24 Monsoon
- MA8002 Advanced Topics in Mathematics-1: 2022-23 Monsoon
Membership:
- Ramanujan Mathematical Society, India (Lifetime)
- Indian Mathematical Society (Lifetime).
Awards: Awarded University Sains Malaysia Post-Doctoral Fellowship (Did not avail).
Administrative Responsibilities: Institute Level
- Member of Official Language Implementation Committee-OLIC from July 2022.
Administrative Responsibilities: Departmental Level
- Incharge of Departmental Office Reports/Communications from Feb 2023
- Faculty Advisor of M.Sc. (2023-2025) batch
- Sep 2023-Sep 2025: Faculty Research Seed Grant (FRG) 2023
- 2023-2025: Science and Engineering Research Board, Start-up Research Grant (SRG)
- VRITIKA Research Internship on ``Mapping properties of Hornich scalar multiplication operator''. Sponsored by SERB. Duration: May-June, 2024.