Sunanda Naik (Mathematical Science Division)

Associate Professor

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

Courses taught:

B.Tech

  • Mathematical Science- I
  • Mathematical Science-II
  • Mathematical Science -III
  • Discrete Mathematics

B.S\M.S

  • Complex Analysis
  • Linear Algebra
  • Functional Analysis
  • Measure and Integration
  • Probability Theory

M.Tech

  • Ordinary Differential Equations

Ph.D

  • Advance Functional Analysis
  • Operator Theory

Journal Publications:

25.  S. Naik. Cesáro operator of order \alpha on Bloch type spaces,  J. Analysis (Springer Nature),

published online,  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.

Research interest: Complex Analysis, Theory of function spaces, Special functions.

 

Research projects:

1. Title: Coeffiecient 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, Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, Dalgaon, 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",

19th -25th September 2022, Olsztyn, Poland.

3.  Cesáro   operator and its genrealization on Bloch type spaces, 38th Annual conference of the

Ramanujan Mathematical Society,  22nd -24th December 2023, IITGuwahati, India.

 

1. B. A. Mathematics, G.M. College (autonomus), Odisha.

2. M. A. Mathematics, Sambalpur University, Odisha.

3. M.Phil. Mathematics, Sambalpur University, Odisha.

4. Ph. D. Mathematics,  Indian Institute of Technology Madras, Tamilnadu.

5. Post. Doc, Indian Institute of Technology Guwahati, Assam.

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 particpant 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, 2022-2023.

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 convocataion, G.U.

6. Member of the students robing and procession committee for 29th convocataion, G.U.

7. Member of the students robing and procession committee for 30th convocataion, G.U.

8. Member of the students robing and procession committee for 31st  convocataion, G.U.

Facilities & Resources

Facilities
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Some Important Links (Outside GU)