Asian Journal of Mathematics and Computer Research

SOME GENERALISATION OF NEVANLINNA'S FIVE-VALUE THEOREM FOR ALGEBROID FUNCTIONS ON ANNULI

RENUKADEVI S. DYAVANAL *

Department of Mathematics, Karnatak University, Dharwad-580003, India

ASHOK RATHOD

Department of Mathematics, Karnatak University, Dharwad-580003, India

*Author to whom correspondence should be addressed.

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Abstract

In this paper, we generalise Nevanlinna's five-value theorem on annuli to two algebroid functions partially sharing either five or more values, or five or more small functions.

Keywords: Nevanlinna theory, the uniqueness of algebroid function on annuli

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