Special functions as solutions to discrete Painlevé equations

We present results on special solutions of discrete Painlevé equations. These solutions exist only when one constraint among the parameters of the equation is satisfied and are obtained through the solutions of linear second-order (discrete) equations. These linear equations define the discrete anal...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 160; no. 1; pp. 307 - 313
Main Authors Tamizhmani, K.M., Ramani, A., Tamizhmani, T., Grammaticos, B.
Format Journal Article Conference Proceeding
LanguageEnglish
Published Amsterdam Elsevier B.V 01.11.2003
Elsevier
Subjects
Exact sciences and technology
Finite differences and functional equations
Mathematical analysis
Mathematics
Painlevé equations
Sciences and techniques of general use
Second-order discrete equations
Special functions
Second-order discrete equations
Painlevé equations
Special functions
Second order equation
Linear equation
Applied mathematics
Painlevé equation
Discrete equation
Special function
Mathematical physics
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Summary:We present results on special solutions of discrete Painlevé equations. These solutions exist only when one constraint among the parameters of the equation is satisfied and are obtained through the solutions of linear second-order (discrete) equations. These linear equations define the discrete analogues of special functions.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(03)00635-6