Biosketch

My doctoral students have won prizes at IMS and ISCA in the year 2014-15 and 2015-16 consecutively for two years.

Lakshika Chutani won the V. M. Shah Prize for the year 2015 for presenting the best research paper entitled “FK-space and Frechet space for a class of entire Dirichlet series in two variables” at the 81st Annual Conference of the Indian Mathematical Society held at VNIT, Nagpur during December 27-30, 2015. In the previous year, Garima Manocha won the same prize for the year 2014 for paper entitled “A study of certain results on Spectrum and Summability for a class of entire Dirichlet series having complex frequencies” at the 80th Annual Conference of Indian Mathematical Society held at Indian School of Mines, Dhanbad during December 27-30, 2014.

Also Lakshika Chutani won the ISCA Best Poster Award at the 103rd Indian Science Congress held at University of Mysore, Mysuru during January 3-7, 2016 for the paper entitled “A study of certain results on a class of entire Dirichlet series in n- variables”. Garima Manocha in the year 2015 won the same award at the 102nd Indian Science Congress held at University of Mumbai, Mumbai during January 3-7, 2015 for the paper entitled “A study on equivalence among Primitivity, Primeness and Simplicity of entire Dirichlet series as a Gamma ring”. Garima Manocha also got nominated for the ISCA Young Scientist’s Award Programme for the year 2016 at the 103rd Indian Science Congress held at University of Mysore for the paper entitled “ A class of entire Dirichlet series with complex frequencies as an FK-space and a Frechet space”.

One of my research scholar Garima Manocha was awarded with ISCA Best Poster Award for presenting the paper entitled “A study on equivalence among primitivity, primeness and simplicity of entire Dirichlet series as a gamma ring” at the 102nd Indian Science Congress held at University of Mumbai, Mumbai during January 3-7, 2015 and the V M Shah Prize for presenting the paper entitled “ A study of certain results on Spectrum and Summability for a class of entire Dirichlet series having complex frequencies” at the 80th Annual conference of the Indian Mathematical Society held at Indian School of Mines, Dhanbad during December 27-30, 2014

Areas of Interest

Complex Analysis

Publications in International Journal

 

Publications in National Journal

 

Publications in National Conferences

 

Publications in International Conferences

 

Books/Book Chapters

 

Publications (Click to expand)

Journal Publications

1. Niraj Kumar and Garima Manocha, Certain results on a class of Entire functions represented by Dirichlet series having complex frequencies, Acta Universitatis Matthiae Belii, series Mathematics, Issue 2015, Pages 31-36. DOI: http://actamath.savbb.sk/pdf/oacta2015003.pdf.
2. Niraj Kumar and Garima Manocha, A study on prime one-sided ideals, soclesof Entire Dirichlet series as a gamma ring, Scientia Magna, 2014 (Accepted).
3. Niraj Kumar and Garima Manocha, A Class of Entire Dirichlet Series as an FK-Space and a Frechet Space, Acta Mathematica Scientia, Volume 33B,Issue 6, 2013, Pages 1571-1578.DOI: http://www.sciencedirect.com/science/journal/02529602.
4. Niraj Kumar and Garima Manocha, On a class of entire functions represented by Dirichlet series, Journal of the Egyptian Mathematical Society, Volume 21, Issue 1, 2013, Pages 21-24. DOI: http://dx.doi.org/10.1016/j.joems.2012.10.008.
5. Niraj Kumar, A note on positive linear operators, Kyungpook Mathematical Journal, Volume 46, 2006, Pages 185-188.
6. Niraj Kumar, On certain space of the series ∑ aneΛnΨ(z), J. Indones. Math. Soc. (MIHMI), Volume 10, Issue 1, 2004, Pages Niraj Kumar, On certain space of the series Pane 23-30.
7. Niraj Kumar, Rate of convergence for a general sequence of Durmeyer type operators, Journal of Inequalities in Pure and Applied Mathematics, Volume 5, Issue 3, Article 79, 2004, Pages 1-11.
8. Vijay Gupta and Niraj Kumar, A note on integral modification of MeyerKoing-Zeller operators, International J. Math. and Math. Science, Volume 31, 2003.
9. Niraj Kumar, On a class of entire function represented by Taylor Dirichlet series, Jnanabha, Volume 25, 1995, Pages 65-72.

Conference Publications

1. Niraj Kumar and Garima Manocha, A Study on a Class of Entire Dirichlet Series, in the proceedings of 101st Indian Science Congress, University of Jammu, Jammu, India, 03-07 February 2014.
2. Niraj Kumar, Functional analytic structures of a class of Taylors Dirichlet series, in the proceedings of 2nd National Conference on Application of Mathematics in Science, Technology & Management (NGAMSTM-2014), India, 24-25 January 2014.
3. Niraj Kumar and Garima Manocha, Some Results on a Class of Entire Dirichlet Series with Complex Frequencies, in the proceedings of 79th Annual Conference of the Indian Mathematical Society (IMS), Rajagiri School of Engineering & Technology (RSET), Kochi, Kerala, India, 28-31 December 2013.
4. Niraj Kumar and Garima Manocha, FK-Space and a Fr ?echet Space for a Class of Entire Dirichlet Series, in the International Conference on Information & Mathematical Sciences, IMS-13, Proceedings of Elsevier, Baba Farid College of Engineering & Technology, Bhatinda, Punjab, India, 24-26 October 2013.
5. Niraj Kumar, On certain space of Dirichlets series with some growth properties, in the Joint 9th National Conference Of Vijanana Parishad of India On Applied and Industrial Mathematics and 5th Annual Conf. Of Indian Society of Information Theory and Applications, India, 22-24 February 2002.