On q-Difference Riccati Equations and Second-Order Linear q-Difference Equations
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-13
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider q-difference Riccati equations and second-order linear q-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 q-difference Riccati equations, and the q-Casorati determinant of meromorphic solutions of second-order linear q-difference equations.
In particular, we find that the meromorphic solutions of these two equations are concerned with the q-Gamma function when q∈ℂ such that 0<|q|<1.
Some examples are also listed to illustrate our results.
American Psychological Association (APA)
Huang, Zhi-Bo. 2013. On q-Difference Riccati Equations and Second-Order Linear q-Difference Equations. Journal of Complex Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-509773
Modern Language Association (MLA)
Huang, Zhi-Bo. On q-Difference Riccati Equations and Second-Order Linear q-Difference Equations. Journal of Complex Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-509773
American Medical Association (AMA)
Huang, Zhi-Bo. On q-Difference Riccati Equations and Second-Order Linear q-Difference Equations. Journal of Complex Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-509773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509773