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Dr. R. Vijayakumar
Dr. R. Vijayakumar
Assistant Professor
Office Address:
MAT 309, Department of Mathematics, National Institute of Technology Calicut, NIT Campus (P.O)-673601, Kozhikode, Kerala
MSc : Bharathidasan University, Trichy
PhD : IIT Madras, Chennai
PDEF: IIT Madras, Chennai
Educational Qualifications
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MSc : Bharathidasan University, Trichy
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PhD : IIT Madras, Chennai
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PDEF: IIT Madras, Chennai
Journals
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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.
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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, 10 pages.
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S. Ponnusamy, R. Vijayakumar, and K.-J. Wirths, Modifications of Bohr’s inequality in various settings, Houston J. Math. 47(4)(2021), 807–831.
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R. Vijayakumar, Note on weighted Bohr’s inequality, Lobachevskii J. Math. 42(12) (2021), 3035–3042.
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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.
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S. Ponnusamy, R. Vijayakumar, and K.-J. Wirths, New inequalities for the coefficients of unimodular bounded functions, Results Math. 75, 107 (2020).
Books (Refereed)
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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
Research:
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Complex Analysis
Current Teaching:
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MA1001E-Mathematics-I (EE01 and EE03 Batches): Monsoon Semester 2024
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MA1003E-Mathematics-I (MT01 Batch): Monsoon Semester 2024
Past Teaching:
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MA7361-Advanced Complex Analysis (M.Sc. Elective): Winter Semester 2023-24
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MA1013E-Mathematics II (CE01 Batch): Winter Semester 2023-24
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MA1001E-Mathematics-I (EE03 and EC04 Batches): Monsoon Semester 2023-24
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MA8001-Advanced Topics in Mathematics-I(Ph.D. Maths): Monsoon Semester 2023-24
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MA2002D-Mathematics-IV(PE01 Batch): Winter Semester 2022-23
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MA8001-Advanced Topics in Mathematics-I(Ph.D. Maths): Winter Semester 2022-23
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Awarded “The Smt Lakshmikutty Amma and Shri Krishnakutty Nair prize” for the Best Doctoral Thesis Award from the Indian Institute of Technology Madras.
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Awarded “DST-Inspire Fellowship” in 2016.
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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).
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Warden A--Hostel (October 2023 to Till date)
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Member--Department Purchase and Stocks (February 2023 to Till date)
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Dept. Seminar Coordinator (February 2023 to Till date)
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Mathematics I (MA1001E) Course Coordinator (Monsoon Semester 2023)
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Schwarz lemmas in Banach spaces
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Bohr-type inequality for various mappings
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Lipschitz spaces