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    Dr. R. Vijayakumar
    Dr. R. Vijayakumar

    Assistant Professor

    Office Address:

    MAT 207 B, First Floor, Department of Mathematics, National Institute of Technology Calicut, NIT Campus (P.O)-673601, Kozhikode, Kerala

    Contact no:

    0495 2285225

    Email ID:

    vijayakumar@nitc.ac.in

    Home Address:

  • PhD : IIT Madras, Chennai

  • PDEF: IIT Madras, Chennai

    • Educational Qualifications

    • PhD : IIT Madras, Chennai

    • PDEF: IIT Madras, Chennai

    Journals

    • R. Vijayakumar,  Brindha Valson E, and Ribin Christal R., Bohr Radii in New Geometric Settings of Analytic Functions, Lobachevskii J. Math. 47(4) (2026), 1795--1805.URL

    • Z.-G. Wang, R. Vijayakumar, and Sreelakshmi V. U., Some characterizations for logharmonic mappings, J. Math. Anal. and Appl. 564(2) (2026), 130908. URL

    • Z.-G. Wang, R. Vijayakumar, and Sreelakshmi V. U., Bohr-type inequalities and geometric properties of logharmonic mappings. Journal of Analysis (2026), 26 pages. URL

    • R. Vijayakumar, Megha Kundathil, A Note on Improved Bohr’s Inequality for Shifted Disks. Bull. Malays. Math. Sci. Soc. 49, 71 (2026). URL

    • Sh. Chen, H. Hamada, S. Ponnusamy, and R. Vijayakumar, Schwarz type lemmas and their applications in Banach spaces, Journal d’Analyse Mathématique 152(1) (2024), 181--216. URL

    • S. Ponnusamy, R. Vijayakumar, and K.-J. Wirths, Improved Bohr’s phenomenon in quasi-subordination classes, J. Math. Anal. and Appl. 506(1) (2022), 125645. URL

    • S. Ponnusamy, R. Vijayakumar, and K.-J. Wirths, Modifications of Bohr’s inequality in various settings, Houston J. Math. 47(4)(2021), 807–831. URL

    • R. Vijayakumar, Note on weighted Bohr’s inequality, Lobachevskii J. Math. 42(12) (2021), 3035–3042. URL

    • S. Ponnusamy, R. Vijayakumar, Generalized versions of Lipschitz conditions on the modulus of holomorphic functions, C. R. Math. Acad. Sci. Paris, 359(5) (2021), 609–615. URL

    • S. Ponnusamy, R. Vijayakumar, and K.-J. Wirths, New inequalities for the coefficients of unimodular bounded functions, Results Math. 75, 107 (2020). URL

     Preprints/ Manuscripts under review:

    • Z.-G. Wang, Brindha Valson E, and R. Vijayakumar, Integral mean estimates for (α, β)-harmonic functions, arXiv:2603.11449, 2026. URL

    • Sh. Chen, H. Hamada, Megha K., and R. Vijayakumar, Some sharp Schwarz type estimates and their applications in Banach spaces, arXiv:2605.17237, 2026.  URL

    Books (Refereed)

    • S. Ponnusamy, R. Vijayakumar, Note on improved Bohr inequality for harmonic mappings, Current Research in Mathematical and Computer Sciences-III, Publisher UWM, Olsztyn (2022), pp. 353–360. ISBN 978-83-8100-332-2 URL

    Research:

    • Complex Analysis

    Current Teaching:

    Past Teaching:

    •  MA1001E-Mathematics-I (EE01 and EE03 Batches): Monsoon Semester 2024                                                                                                                                                          

    •  MA1003E-Mathematics-I (MT01 Batch): Monsoon Semester 2024

    • MA7361-Advanced Complex Analysis (M.Sc.): Winter Semester 2023-24

    • MA1013E-Mathematics II (CE01 Batch): Winter Semester 2023-24

    • MA1001E-Mathematics-I (EE03 and EC04 Batches): Monsoon Semester 2023-24

    • MA8001-Advanced Topics in Mathematics-I(Ph.D.): Monsoon Semester 2023-24

    • MA2002D-Mathematics-IV(PE01 Batch): Winter Semester 2022-23

    • MA8001-Advanced Topics in Mathematics-I(Ph.D.): Winter Semester 2022-23

    • Awarded “The Smt Lakshmikutty Amma and Shri Krishnakutty Nair prize” for the Best Doctoral Thesis Award from the Indian Institute of Technology Madras.

    • Awarded “DST-Inspire Fellowship” in 2016.

    • Awarded “Gold Medal” from Bharathidasan University (One Award made each year for the First rank Holder in the M.Sc., Mathematics Examination of Bharathidasan University).

    • Warden, NITC Hostels (October 2023 – June 2026)

    • Member--Department Purchase and Stocks (February 2023 to February 2025)

    • Dept. Seminar Coordinator (February 2023 to February 2025)

    • Schwarz  lemmas in  Banach  spaces

    • Bohr-type inequality for various mappings

    • Lipschitz spaces

    • Proceedings of the London Mathematical Society (PLMS)

    • FILOMAT

    Address:

    National Institute of Technology Calicut,
    NIT Campus P.O 673 601,
    Kozhikode, India.

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