MEROMORPHIC SOLUTIONS OF DIFFERENCE EQUATIONf(z+ 1) =R ◦ f(z)

In this paper, we investigate the solutions of difference equationf(z+ 1) =R◦f(z) by utilizing Nevanlinna theory, whereR(z) is a rational function. And we also research the quantity of zeroes, poles, fixed points, and Borel exceptional values of the solutions. 2010Mathematics Subject Classification:...

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 18; no. 1; pp. 27 - 37
Main Author Jie, Zhang
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.02.2014
Subjects
Difference equations
Linear transformations
Mathematical theorems
Meromorphic functions
Polynomials
Rational functions
Riccati equation
Transcendentals
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ISSN1027-5487
2224-6851

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Summary:In this paper, we investigate the solutions of difference equationf(z+ 1) =R◦f(z) by utilizing Nevanlinna theory, whereR(z) is a rational function. And we also research the quantity of zeroes, poles, fixed points, and Borel exceptional values of the solutions. 2010Mathematics Subject Classification: 30D35, 34M10. Key words and phrases: Uniqueness, Difference equation, Order.
ISSN:1027-5487
2224-6851