Airy function - Exact WKB results for potentials of odd degree

Journal of Physics A: Mathematical and General

Volumn 32, Issue 7, 1999, Pages 1301-1311

  Voros, André ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033582403     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/7/020     Document Type: Article

References (20)

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5. Voros A 1982 The Riemann Problem, Complete Integrability and Arithmetic Applications (Lecture Notes in Mathematics vol 925) ed D Chudnovsky and G Chudnovsky (Berlin: Springer) pp 184-208 Voros A 1980 Augmented version of Nucl. Phys. B 165 209-36
6. Voros A 1983 Ann. Inst. Henri Poincaré A 39 211-338
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10. Sibuya Y and Cameron R H 1973 Symp. on Ordinary Differential Equations (Proc. Minneapolis) (Lecture Notes in Mathematics vol 312) ed W A Harris Jr and Y Sibuya (Berlin: Springer) pp 194-202
11. 5 = 1) Proc. 38th Rencontre entre Physiciens Théoriciens et Mathématiciens (Strasbourg, June 1984) vol 34, pp 91-103
12. Zamolodchikov Al B 1991 Phys. Lett. B 253 391-4 Gliozzi F and Tateo R 1996 Int. J. Mod. Phys. A 11 4051-64 and references therein
13. Zamolodchikov Al B 1991 Phys. Lett. B 253 391-4 Gliozzi F and Tateo R 1996 Int. J. Mod. Phys. A 11 4051-64 and references therein
14. Kapaev A A 1989 Diff. Eqns 24 1107-15
15. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover) ch 10.4 Olver F W J 1974 Asymptotics and Special Functions (New York: Academic) ch 11 (Reprinted 1997 (Wellesley, MA: A K Peters)) Olver F W J 1998 Airy Functions ch 11, Digital Library of Mathematical Functions Project, National Institute of Standards and Technology, Gaithersburg, MD 20899-8910, USA (http://math.nist.gov/DigitalMathLib/) Vallée O and Soares M 1998 Les fonctions d'Airy pour la physique (Paris: Diderot Éditeur)
16. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover) ch 10.4 Olver F W J 1974 Asymptotics and Special Functions (New York: Academic) ch 11 (Reprinted 1997 (Wellesley, MA: A K Peters)) Olver F W J 1998 Airy Functions ch 11, Digital Library of Mathematical Functions Project, National Institute of Standards and Technology, Gaithersburg, MD 20899-8910, USA (http://math.nist.gov/DigitalMathLib/) Vallée O and Soares M 1998 Les fonctions d'Airy pour la physique (Paris: Diderot Éditeur)
17. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover) ch 10.4 Olver F W J 1974 Asymptotics and Special Functions (New York: Academic) ch 11 (Reprinted 1997 (Wellesley, MA: A K Peters)) Olver F W J 1998 Airy Functions ch 11, Digital Library of Mathematical Functions Project, National Institute of Standards and Technology, Gaithersburg, MD 20899-8910, USA (http://math.nist.gov/DigitalMathLib/) Vallée O and Soares M 1998 Les fonctions d'Airy pour la physique (Paris: Diderot Éditeur)
18. Abramowitz M and Stegun I A 1965 Handbook of Mathematical Functions (New York: Dover) ch 10.4 Olver F W J 1974 Asymptotics and Special Functions (New York: Academic) ch 11 (Reprinted 1997 (Wellesley, MA: A K Peters)) Olver F W J 1998 Airy Functions ch 11, Digital Library of Mathematical Functions Project, National Institute of Standards and Technology, Gaithersburg, MD 20899-8910, USA (http://math.nist.gov/DigitalMathLib/) Vallée O and Soares M 1998 Les fonctions d'Airy pour la physique (Paris: Diderot Éditeur)
19. Watson G N 1952 Theory of Bessel Functions (Cambridge: Cambridge University Press) ch 15.41 Erdélyi A (ed) 1953 Higher Transcendental Functions vol II (New York: McGraw-Hill) ch 7.9
20. Watson G N 1952 Theory of Bessel Functions (Cambridge: Cambridge University Press) ch 15.41 Erdélyi A (ed) 1953 Higher Transcendental Functions vol II (New York: McGraw-Hill) ch 7.9