COMPARATIVE GROWTH ANALYSIS OF FUNCTIONS ANALYTIC IN THE UNIT DISC DEPENDING UPON THEIR RELATIVE \(L^{∗}\)-ORDERS AND RELATIVE \(L^{∗}\)-LOWER ORDERS
Keywords:
growth, analytic function, composition, unit disc, relative Nevanlinna \(L^{∗}\)-order, relative Nevanlinna \(L^{∗}\)-lower order, slowly changing function in the unit discAbstract
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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Copyright (c) 2016 Sanjib Kumar Datta, Tanmay Biswas, Pulak Sahoo

This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

