A note on \(q\)-difference operator and related limit direction

DOI10.1016/S0252-9602(18)30839-7zbMath1438.30130OpenAlexW2898560421WikidataQ129077692 ScholiaQ129077692MaRDI QIDQ2313166

Ningfang Song, Ye-Zhou Li

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30839-7

zbMATH Keywords

Julia setorder\(q\)-difference operatorlimit direction

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire functions of one complex variable (general theory) (30D20) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Cartan's second main theorem and Mason's theorem for Jackson difference operator

Cites Work

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• On the Nevanlinna characteristic of \(f(z+\eta)\) and difference equations in the complex plane
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• Some properties of meromorphic solutions of \(q\)-difference equations
• Complex dynamics
• On properties of \(q\)-difference equations
• On properties of meromorphic solutions for complex difference equation of Malmquist type
• On limit directions of Julia sets of entire solutions of linear differential equations
• Limiting directions of Julia sets of entire solutions to complex differential equations
• On the coefficients of an entire series
• Difference analogue of the lemma on the logarithmic derivative with applications to difference equations
• Some properties of Fatou and Julia sets of transcendental meromorphic functions
• Radial distributions of Julia sets of meromorphic functions
• Clunie theorems for difference and q -difference polynomials
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations
• Sets of Non-Normality in Iteration Theory

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