COMPARATIVE GROWTH ANALYSIS OF FUNCTIONS ANALYTIC IN THE UNIT DISC DEPENDING UPON THEIR RELATIVE \(L^{∗}\)-ORDERS AND RELATIVE \(L^{∗}\)-LOWER ORDERS

Authors

  • Sanjib Kumar Datta University of Kalyani - Department of Mathematics
  • Tanmay Biswas West Bengal Krishnagar Academic Area - Independent researcher
  • Pulak Sahoo University of Kalyani - Department of Mathematics

Keywords:

growth, analytic function, composition, unit disc, relative Nevanlinna \(L^{∗}\)-order, relative Nevanlinna \(L^{∗}\)-lower order, slowly changing function in the unit disc

Abstract

In the paper the ideas of relative Nevanlinna L-order and relative Nevanlinna L-lower order of an analytic function with respect to an entire function in the unit disc U = {z : |z| < 1} are introduced.  Hence, we study some comparative growth properties of composition of two analytic functions in the unit disc U on the basis of relative Nevanlinna L-order and relative Nevanlinna L-lower order.

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Published

2016-07-29

How to Cite

Datta, S. K., Biswas, T., & Sahoo, P. (2016). COMPARATIVE GROWTH ANALYSIS OF FUNCTIONS ANALYTIC IN THE UNIT DISC DEPENDING UPON THEIR RELATIVE \(L^{∗}\)-ORDERS AND RELATIVE \(L^{∗}\)-LOWER ORDERS. Italian Journal of Pure and Applied Mathematics, 36, 161–166. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6645

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Section

Articoli - Forum Editrice

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