MA (Sambalpur) MPhil (Sambalpur) PhD (IIT Madras)
Complex Analysis, Special Functions and Theory of Function Spaces
Department of Applied Sciences
Gauhati University, Guwahati, 781014
Email: snaik[at]gauhati[dot]ac[dot]in
1. B. A. (Hons.) in Mathematics with Distinction (G.M. College), Sambalpur University, Odisha.
(1st class with 1st position).
2. M. A. in Mathematics, Sambalpur University, Odisha, (1st class with 2nd position).
3. M. Phil. in Mathematics, Sambalpur University, Odisha,
(Project supervisor- Prof. Swadhin Pattanayak).
4. Ph. D. in Mathematics, Indian Institute of Technology Madras, Tamilnadu,
(Thesis supervisor- Prof. Saminathan Ponnusamy).
5. DST-DAAD exchange fellow to University of Trier, Germany.
6. NBHM (National Board for Higher Mathematics) Post. Doc, Indian Institute of Technology Guwahati, Assam.
Courses taught:
B.Tech\FYIMP
B.S\M.S
M.Tech
Ph.D
Research interest: Complex Analysis, Theory of function spaces, Special functions.
Research projects:
1. Title: Co-efficient Multipliers on Function Spaces.
Funding Agency: University Grants Commission, India, 2012–2014.
2. Title: Boundedness of Fractional Differential Composition Operators.
Funding Agency: NBHM, Department of Atomic Energy, India, 2013 –2016.
Completed Ph. D. students:
1. Dr. Karabi Rajbangshi (2016)
Present Position: Assistant Professor, Arya Vidyapeeth College, Guwahati.
2. Dr. Deepjyoti Borgohain (2017)
Present Position: Assistant Professor, Bimala Prasad Chalia College, Guwahati.
3. Dr. Pankaj Kumar Nath (2021)
Present Position: Assistant Professor, Dakshin Kamrup College, Mirza, Guwahati.
Invited talks:
1. Fractional derivatives and integral, National Conference on applied sciences, sustainable and
evolving technologies, CIT Kokrajhar and Bodoland University, 9th -11th March 2018, India.
2. A study of boundedness property of integral type operatotrs on analytic function space, VIII international conference of Mathematics and computer Science "Congressio- Mathematica", September 19-25, 2022, Olsztyn, Poland.
3. Cesáro operator and its generalizations on Bloch type spaces, 38th Annual conference of the
Ramanujan Mathematical Society, December 22-24, 2023, IITGuwahati, India.
4. A survey on Cesáro operator and its generalizations on analytic function spaces,
International conference on special functions, analytic functions, metrics and quasiconformality
(ICSAMY 2024), Decemeber 17-20, 2024, IIT Indore, India.
5. Value of healthy lifestyle habits for students, one-day workshop on Mission LIFE organised
by Gauhati University in association with TERI, January 31, 2025, Gauhati University, India.
6. Impact of online learning platforms on Entrepreneurial development, Short
Term Programme on Academic Enhancement for Entrepreneurial Development,
February 21, 2025, Gauhati University, India.
Journal Publications:
27. S. Bhuyan and S. Naik. Generalized Hilbert operator on analytic function spaces,
DOI 10.1108/AJMS-07-2024-0111, published online, 2025.
26. S. Bhuyan and S. Naik. Generalized Hilbert operator on Bergman spaces, Korean J. Math, 33,
no. 1, 7--19, 2025.
25. S. Naik. Cesáro operator of order alpha on Bloch type spaces, J. Analysis (Springer Nature),
32(5), 2639--2646, IF=0.8, 2024.
24. S. Naik. Certain multiplier results on B^p spaces, J. Appl Anal, 29(1), 91--98, 2023.
23. P. K. Nath and S. Naik. Boundedness of C^{b,c} operators on Bloch spaces, Korean J. Math, 30,
no. 3, 467--474, 2022.
22. S. Naik. Generalized Cesáro operators on BMOA space, J. Analysis (Springer Nature), 29, 315-- 323, IF=0.8, 2021.
21. S. Naik and P. K. Nath. Adjoint of generalized Cesáro operators on analytic function spaces, J Appl Anal, 26(2),185-–192, 2020.
20. D. Borgohain and S. Naik. Weighted fractional composition operators on certain function spaces,
Asian-European Journal of Mathematics (World scientific), 13 (4) 2050082, IF=0.8, 2020.
19. S. Naik and P. K. Nath. A note on two parameter family of operators A^{b, c} on weighted Bergman spaces, Probl. Anal. Issues Anal. 8 (26), no 3, 125–136, 2019.
18. S. Naik and K. Rajbangshi. Operators and multipliers on weighted Bergaman spaces. Afrika Matematika (Springer), 30(12), 269--277, IF=0.8, 2019.
17. D. Boragohain and S. Naik. An integral type operator on analytic function spaces. J. Analysis (Springer Nature), 27, 829-- 836, IF=0.8, 2019.
16. D. Boragohain and S. Naik. Generalized Ces`aro operators on the spaces of Cauchy trans-form. Acta Sci. Math. (Szeged), 83 , 143--154, IF=0.5, 2017.
15. S. Naik and K. Rajbongshi. Coefficient Multpliers on Mixed-norm spaces H(p; q; phi). J. Analysis (Springer Nature), 25(1) , 29--41, IF=0.8, 2017.
14. S. Naik and K. Rajbangshi. Generalized Hilbert-type operators on certain analytic function spaces. Bulletin of the Polish Academy of Sciences Mathematics, vol. 63, no. 3, 227--235, 2015.
13. S. Naik and P.K. Nath. Generalized Hilbert- type operator on Hardy Space, Communications in
Mathematics and Applications, 6(1), 1--8, 2015.
12. D. Borgohain and S. Naik. Boundedness and compactness of integral type operator. J. Analysis (Springer), 23, 1--11, IF=0.8, 2015.
11. S. Naik and K. Rajbangshi. Multipliers on H(p,q,α) spaces. Arab J Math (Springer), (3),349--360, IF=1.2, 2014.
10. D. Borgohain and S. Naik. Weighted fractional differentiation composition operators from mixed-norm spaces
to weighted-type spaces, International Journal of Analysis, 2014, article ID 301709.
9. S. Naik. Ces´aro type operators on spaces of analytic functions. Filomat, 25(4), 85--97, IF=0. 84, 2011.
8. S. Naik. Generalized Ces´aro operators on certain function spaces. Annales in Polonici Mathematici,
98(2), 189--199, 2010.
7. S. Naik. Generalized Ces´aro operators on mixed norm spaces. Journal of Indian academy of Mathematics,
31, 2009.
6. J. M¨uller, S. Naik and S. Ponnusamy. Growth of entire functions of exponential type defined by convolution.
Arch. Math. (Springer), 87, 330--342, 2006.
5. R.W.Barnard, S.Naik and S.Ponnusamy. Univalency of weighted integral transforms on certain function
spaces. Journal of Computational and Applied Mathematics (Elsevier), 193(2), 638--651, IF=2.4, 2006.
4. M.R.Agrawal, P.G.Howlett, S.K.Lucas, S.Naik and S.Ponnusamy. Boundedness of generalized Ces´aro
averaging operators on certain function spaces. Journal of Computational and Applied Mathematics
(Elsevier),180(2), 333--344, IF=2.4, 2005.
3. S. Naik. A survey of coefficient multiplier on various function spaces. Journal of Orissa Mathematical Society,
(23/24), 176--186, (2004/05).
2. R.W.Barnard, S .Naik, M.Obradovi´c and S.Ponnusamy. Two parameter families of close-to-convex functions
and convolution theorems. Analysis (Munich), 24(1), 71--94, 2004.
1. R. Balasubramanian, S. Naik, S. Ponnusamy and M. Vuorinen. Elliott’s identity and hypergeometric functions.
J. Math. Anal. Appl. (Elsevier), 271, 232--256, IF=1.3, 2002.
Conference Proceedings:
1. S. Naik and S. Ponnusamy. Univalency of a convolution operator concerning hypergeometric functions. Proceeding of international conference on mathematics and its applications (ICMA- 04), 370–374, 2005.
Books Published:
3. Book chapter in the book "Proceeding of the seventh international conference on mathematics and computing",
(ISSN:2194-5357), Springer Singapore, 2022.
2. Book chapter in the book "Proceeding of the sixth international conference on mathematics and computing",
(ISBN:978-981-15-8061-1), Springer Singapore, 2021.
1. Generalized Cesaro operators and integral transform on function space, (ISBN: 978-3-330-05122-5), LAP Lambert Academic Publishing GmbH & Co. KG, Germany, 2017.
1. First rank holder in B. A.(G. M. College), Sambalpur University.
2. Second rank holder in M. A., Sambalpur University.
3. Qualified in GATE 2000.
4. Selected as a Young Scientist in a DST-DAAD project based personal exchange program
and worked in the University of Trier, Germany,
during Oct-Dec 2002, and Nov 2003-Jan 2004.
5. Obtained a Postdoctoral Fellowship from the National Board of Higher Mathematics in the year 2004.
6. Best Paper Presentation Award in the Annual conference of Orissa Mathematical Society 2009.
7. Selected as one of the participant in the discussion on Cauchy -Riemann equations in higher dimesions held on international center for theoretical sciences (ICTS) (TIFR), Bengaluru, 15th July 2019 to 2nd August 2019.
Professional activities:
1. Life member of Assam Science Society.
2. Life member of Assam Mathematical Society.
3. Life member of Odisha Mathematical Society.
4. Life member of Ramanujan Mathematical Society.
5. Annual (2014-2015) member of American Mathematical Society.
6. Reviewer for MathSciNet.
7. Referee for few reputed national/international journals.
Administrative responsibilities:
1. Faculty coordinator, B.Tech student induction programme, GUIST, 2017 -2020, 2022-2024.
2. Treasurer GUTA , for the year 2017-2018.
3. M. Tech exam co-ordinator, even semester of the year 2018--2019.
4. Member of the report drafting committee for NAAC accreditation (2019-2023), G.U.criteria I.
5. Member of the students robing and procession committee for 28th convocation, G.U.
6. Member of the students robing and procession committee for 29th convocation, G.U.
7. Member of the students robing and procession committee for 30th convocation, G.U.
8. Member of the students robing and procession committee for 31st convocation, G.U.
9. Member of the students robing and procession committee for 32nd convocation, G.U.
10. Member of AICTE cell, GUIST, 2022--2025.
11. Member of Times higher education ranking 2025 for G. U.