Special function solutions of the discrete painlevé equations

Computers and Mathematics with Applications

Volumn 42, Issue 3-5, 2001, Pages 603-614

  Ramani, A ^a   Grammaticos, B ^b   Tamizhmani, T ^b   Tamizhmani, K M ^c  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

^c PONDICHERRY UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; FUNCTION EVALUATION; OPTIMIZATION; ORDINARY DIFFERENTIAL EQUATIONS;

DISCRETE PAINLEVE EQUATIONS;

DIFFERENCE EQUATIONS;

EID: 0035426657     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(01)00180-8     Document Type: Article

References (27)

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2. Exact linearization of a Painlevé transcendent
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4. Discrete version of the Painlevé equations
5. Discrete Painlevé equations
6. Discrete Painlevé equations, coalescence, limits and degeneracies
7. Self-duality and Schlesinger chains for the asymmetric d-PII and q-PIII equations
8. The hunting for discrete Painlevé equations
9. Integrable mappings and soliton equations
10. Special function solutions for asymmetric discrete Painlevé equations
11. On a novel q-analogue to the Painlevé VI equation
12. A q-analogue of the sixth Painlevé equation
13. Casorati determinant solutions for the q-difference sixth Painlevé equation
14. Degeneration through coalescence of the q-Painlevé VI equation
15. Linearization and solution of the discrete Painlevé III equation
16. A study of the alternative discrete Painlevé-II equation
17. From continuous Painlevé IV to the asummetric discrete Painlevé I
18. Wronskian structures of solutions for the soliton equations
19. Rational solutions for the Painlevé II equation
20. New exact solutions of the discrete fourth Painlevé equation