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

Ashok M Rathod


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.


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

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