Some relations on the growth rates of composite entire functions using their (p,q) th order

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Published: Dec 31, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1198
Keywords:
Order lower order (p q) th order q) th lower order entire function maximum term composition growth.

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Sanjib Kumar Datta
Tanmay Biswas
Manab Biswas

Abstract

In this paper we discuss the growth rates of the maximum term of composition of entire functions with their corresponding left and right factors.

Article Details

How to Cite
Datta, S. K., Biswas, T., & Biswas, M. (2013). Some relations on the growth rates of composite entire functions using their (p,q) th order. Tamkang Journal of Mathematics, 44(3), 289–301. https://doi.org/10.5556/j.tkjm.44.2013.1198
Issue
Vol. 44 No. 3 (2013)
Section
Papers
Author Biographies

Sanjib Kumar Datta

Department ofMathematics,University of Kalyani, Kalyani, Dist-Nadia,PIN- 741235, West Bengal, India.

Tanmay Biswas

Rajbari, Rabindrapalli, R. N. Tagore Road, P.O. Krishnagar,Dist-Nadia,PIN- 741101, West Bengal, India.

Manab Biswas

Barabilla High School, P.O. Haptiagach, Dist-UttarDinajpur, PIN- 733202, West Bengal, India.

References

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D. Sato, On the rate of growth of entire functions of fast growth, Bull. Amer. Math. Soc., 69(1963), 411--414.

A. P. Singh, On maximum term of composition of entire functions, Proc. Nat. Acad. Sci. India, 59A, Part I (1989), 103--115.

A. P. Singh and M. S. Baloria, On maximum modulus and maximum term of composition of entire functions, Indian J. Pure Appl. Math., 22(1991), 1019--1026.

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