On Relative Order and Relative Type Based Growth Properties of Differential Monomials

Jump To References Section

Authors

  • Sanjib Kumar Datta
     Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, 741235, West Bengal ,IN
  • Tanmay Biswas
     Rajbari, Rabindrapalli, R. N. Tagore Road, P.O. Krishnagar, Dist-Nadia, 741101, West Bengal ,IN
  • Sarmila Bhattacharyya
     Jhorehat F. C. High School for Girls, P.O.- Jhorehat, Dist-Howrah, 711302, West Bengal ,IN

Keywords:

Entire Function, Meromorphic Function, Relative Order, Relative Type, Differential Monomial.
Education and Research

Abstract

In this paper some newly developed results based on the growth properties of relative order (relative lower order), relative type (relative lower type) and relative weak type of differential monomials generated by entire and meromorphic functions are investigated.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2015-12-01

How to Cite

Datta, S. K., Biswas, T., & Bhattacharyya, S. (2015). On Relative Order and Relative Type Based Growth Properties of Differential Monomials. The Journal of the Indian Mathematical Society, 82(3-4), 39–52. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/1681

Issue

Volume 82, Issue 3-4, July-December 2015

Section

Articles

License

Copyright (c) 2015 Sanjib Kumar Datta, Tanmay Biswas, Sarmila Bhattacharyya

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

S. K. Datta and A. Jha, On the weak type of meromorphic functions, Int. Math. Forum, 4 (12) (2009), 569–579.

S. K. Datta and A. Biswas, On relative type of entire and meromorphic functions, Advances in Applied Mathematical Analysis, 8( 2) (2013), 63–75.

W. Doeringer, Exceptional values of differential polynomials, Pacific J. Math., 98 (1) (1982), 55–62.

W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford, 1964.

B. K. Lahiri and D. Banerjee, Relative order of entire and meromorphic functions, Proc. Nat. Acad. Sci. India, 69 (A) III (1999), 339–354.

I. Lahiri and S. K. Datta, Growth and value distribution of differential monomials, Indian J. Pure Appl. Math., 32 (12) (December2001), 1831–1841.

G. Valiron, Lectures on the General Theory of Integral Functions, Chelsea Publishing Company, 1949.

L. Yang, Value distribution theory and new research on it , Science Press, Beijing (1982).

H. X. Yi, On a result of Singh, Bull. Austral. Math. Soc., 41 (1990), 417–420.