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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 1 | Year 2018 | Article Id. IJMTT-V57P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P505

Growth Properties of Composition of Two Meromorphic Functions


Monalisa Mondal
Abstract

In this paper, we have proved few important results on relative growth properties of entire functions, meromorphic functions and their compositions.

Keywords
Entire function, Order of entire function, Meromorphic function, Order of meromorphic function, Relative order of entire function, Relative order of meromorphic function.
References

[1] Banerjee, D. :A note on relative order of meromorphic functions, Bull.Cal. Math. Soc.,98, 1(2006), 25-30.
[2] Banerjee, D. and Jana, S. :On meromorphic functions of relative order (p,q), Int. Journal of Math. Analysis, Vol. 5, 2011, no. 28, 1391 - 1398.
[3] Bernal, L.: Orden relativo de crecimiento de functions enteras, collectanea Mathematica, Vol.39 (1988), pp. 209 - 229
[4] Clunie, J.: The composition of entire and meromorphic functions, Mathematical Essays dedicated to A. J. Macintyre, Ohio University Press, pp. 7592, 1970.
[5] Hayman, W.K. : Meromorphic Functions, The Clarendon press, Oxford (1964).
[6] Lahiri, B.K. and Banerjee, D. : Relative order of entire and meromorphic functions, Proc. Nat. Acad. Sci. India Ser. A., 69(A): 3(1999), 339-354.
[7] Niino, K. and C. C. Yang, Some Growth relationships on factors of two composite entire functions, Factorization theory of meromorphic functions and related topics, Marcel Dekker Inc. New York (1982), 95-99.
[8] Niino, K. and Suita, N., Growth of a composite function of entire functions, Kodai math. J., Vol.3 (1980), pp. 374-379.
[9] Singh, A. P., Growth of composite entire functions, Kodai Math. J., Vol. 8 (1985), pp. 99-102.
[10] W. Bergweiler, “On the growth rate of composite meromorphic functions,” Complex Variables, Theory and Application, Vol.14, no. 1-4, pp.187-196, 1990.

Citation :

Monalisa Mondal, "Growth Properties of Composition of Two Meromorphic Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 1, pp. 31-48, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P505

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