Nevanlinna's five-value theorem for derivatives of algebroid functions on annuli

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Published: Jun 30, 2018
DOI: https://doi.org/10.5556/j.tkjm.49.2018.2466
Keywords:
Value Distribution Theory Nevanlinna theory algebroid functions sharing values and uniqueness annuli.

Main Article Content

Ashok M Rathod

Abstract

In this paper, we first obtain the famous Xiong Inequality for algebroid functions on annuli and also generalise Nevanlinna's five-value theorem for derivatives of algebroid functions by considering weaker assumptions of sharing five values and small functions to partially sharing $k(\geq 5)$ values and small functions on annuli. As a particular cases of our results, we deduce several results.

Article Details

How to Cite
Rathod, A. M. (2018). Nevanlinna’s five-value theorem for derivatives of algebroid functions on annuli. Tamkang Journal of Mathematics, 49(2), 129–142. https://doi.org/10.5556/j.tkjm.49.2018.2466
Issue
Vol. 49 No. 2 (2018)
Section
Papers
Author Biography

Ashok M Rathod

Department of Mathematics, Karnatak University, Dharwad - 580 003, India.

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