Tohoku Mathematical Journal

On the growth order of an algebroid function with radially distributed values in the unit disk

Nan Wu and Jian-Hua Zheng

Full-text: Open access

Abstract

For an algebroid function in the unit disk of finite lower order with a deficient value, we can estimate its growth order in terms of the convergence exponent of the points of the deficient value and other distinct values not lying on a radial system and the maximal difference of the arguments of adjacent rays.

Article information

Source
Tohoku Math. J. (2), Volume 66, Number 3 (2014), 409-425.

Dates
First available in Project Euclid: 8 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1412783205

Digital Object Identifier
doi:10.2748/tmj/1412783205

Mathematical Reviews number (MathSciNet)
MR3266739

Zentralblatt MATH identifier
1303.30027

Subjects
Primary: 30D10: Representations of entire functions by series and integrals
Secondary: 30D20: Entire functions, general theory 30B10: Power series (including lacunary series) 34M05: Entire and meromorphic solutions

Keywords
Algebroid function order deficient value

Citation

Wu, Nan; Zheng, Jian-Hua. On the growth order of an algebroid function with radially distributed values in the unit disk. Tohoku Math. J. (2) 66 (2014), no. 3, 409--425. doi:10.2748/tmj/1412783205. https://projecteuclid.org/euclid.tmj/1412783205


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References

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