The inequality and its application of algebroid functions on annulus concerning some polynomials

In this paper, we investigate the uniqueness of algebroid functions in angular domain by the method of conformal mapping. We discuss the relations between the Borel directions and uniquenss with the multiple values of algebroid functions and obtain some results which extend some uniqueness results of meromorphic functions to that of algebroid functions.

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Exceptional values of algebroid functions on annuli

The Journal of Analysis ◽

10.1007/s41478-020-00251-z ◽

2020 ◽

Author(s):

Ashok Rathod

Keyword(s):

Algebroid Functions

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Results on algebroid functions in k-punctured complex plane

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-020-00785-8 ◽

2020 ◽

Vol 114 (2) ◽

Author(s):

Hong Yan Xu ◽

San Yang Liu ◽

Zhao Jun Wu

Keyword(s):

Complex Plane ◽

Algebroid Functions

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The growth of algebroid functions with several deficient values

Value Distribution Theory and Its Applications - Contemporary Mathematics ◽

10.1090/conm/025/730034 ◽

1983 ◽

pp. 45-49 ◽

Cited By ~ 2

Author(s):

Yong Xing Gu

Keyword(s):

Algebroid Functions

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Value distribution of certain monomials of algebroid functions

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics ◽

10.1017/s1446788700001087 ◽

1997 ◽

Vol 62 (3) ◽

pp. 398-404

Author(s):

Kari Katajamäki

Keyword(s):

Meromorphic Function ◽

Value Distribution ◽

Algebroid Function ◽

Transcendental Meromorphic Function ◽

Algebroid Functions

AbstractHayman has shown that if f is a transcendental meromorphic function and n ≽ 3, then fn f′ assumes all finite values except possibly zero infinitely often. We extend his result in three directions by considering an algebroid function ω, its monomial ωn0 ω′n1, and by estimating the growth of the number of α-points of the monomial.

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