On -Difference Riccati Equations and Second-Order Linear -Difference Equations

Zhi-Bo Huang

Journal of Complex Analysis, 2013, vol. 2013, 1-10

Abstract:

We consider -difference Riccati equations and second-order linear -difference equations in the complex plane. We present some basic properties, such as the transformations between these two equations, the representations and the value distribution of meromorphic solutions of -difference Riccati equations, and the -Casorati determinant of meromorphic solutions of second-order linear -difference equations. In particular, we find that the meromorphic solutions of these two equations are concerned with the -Gamma function when such that . Some examples are also listed to illustrate our results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:938579

DOI: 10.1155/2013/938579

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