International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Growth Analysis of Functions Analytic in the Unit Polydisc

  • Sanjib Kumar Datta1*
  • Tanmay Biswas2
  • Soumen Kanti Deb3
  1. Associate Professor Department of Mathematics University of Kalyani PO Kalyani Dist.- Nadia West Bengal India
  2. Post Doctoral Research Scholar
  3. Research Scholar

* Corresponding author

Abstract

In this paper we study some growth properties of composite functions analytic in the unit polydisc. Some results related to the generalised n variables based p-th Nevanlinna order (generalised n variables based p-th Nevanlinna lower order) and the generalised n variables based p-th Nevanlinna relative order (generalised n variables based p-th Nevanlinna relative lower order) of an analytic function with respect to an entire function are established in this paper where n and p are any two positive integers. In fact in this paper we extend some results of [3] and [4].

How to Cite

S. K. Datta, T. Biswas, S. K. Deb, Growth Analysis of Functions Analytic in the Unit Polydisc, Int. J. Anal. Appl. 5 (2014), 68–80.

BibTeX
@article{Datta2014,
  author  = {Datta, Sanjib Kumar and Biswas, Tanmay and Deb, Soumen Kanti},
  title   = {Growth Analysis of Functions Analytic in the Unit Polydisc},
  journal = {Int. J. Anal. Appl.},
  volume  = {5},
  year    = {2014},
  pages   = {68--80},
  doi     = {}
}

References

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  • [2] Banerjee, D. and Dutta, R. K., Relative order of functions analytic in the unit disc, Bull. Cal. Math. Soc. Vol. 101, No. 1 (2009), pp. 95 - 104.
  • [3] Datta, S. K. and Deb, S. K. , Growth properties of functions analytic in the unit disc, International J. of Math. Sci & Engg. Appls (IJMSEA), Vol. 3, No. IV (2009), pp. 2171-279.
  • [4] Datta, S. K. and Jerine, E., On the generalised growth properties of functions analytic in the unit disc, Wesleyan Journal of Research, Vol.3, No.1 (2010), pp.13-19.
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