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

Authors

  • Sanjib Kumar Datta
  • Tanmay Biswas
  • Manab Biswas

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.

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.

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

J. Clunie, The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre, Ohio University Press (1970), 75--92.

O. P. Juneja, G. P. Kapoor and S. K. Bajpai, On the (p,q)-order and lower (p,q)-order of an entire function, J. Reine Angew. Math., Vol. 282(1976), 53--67.

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.

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Published

2013-12-31

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

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Papers