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

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.

Keywords


Value Distribution Theory; Nevanlinna theory; algebroid functions,sharing values and uniqueness, annuli.

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.49.2018.2466

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