Mellin-Barnes regularization, Borel summation and the Bender-Wu asymptotics for the anharmonic oscillator

Journal of Physics A: Mathematical and General

Volumn 31, Issue 38, 1998, Pages

  Kowalenko, Victor ^a,b   Rawlinson, Andrew A ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b Aerostructures Australia   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032566692     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/38/002     Document Type: Article

References (12)

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2. Bender C M and Wu T T 1969 Phys. Rev. 184 1231 Bender C M and Wu T T 1971 Phys. Rev. Lett. 27 461 Bender C M and Wu T T 1973 Phys. Rev. D 7 1620 Bender C M and Wu T T 1976 Phys. Rev. Lett. 37 117
3. Bender C M and Wu T T 1969 Phys. Rev. 184 1231 Bender C M and Wu T T 1971 Phys. Rev. Lett. 27 461 Bender C M and Wu T T 1973 Phys. Rev. D 7 1620 Bender C M and Wu T T 1976 Phys. Rev. Lett. 37 117
4. Bender C M and Wu T T 1969 Phys. Rev. 184 1231 Bender C M and Wu T T 1971 Phys. Rev. Lett. 27 461 Bender C M and Wu T T 1973 Phys. Rev. D 7 1620 Bender C M and Wu T T 1976 Phys. Rev. Lett. 37 117
5. Kowalenko V, Frankel N E, Glasser M L and Taucher T 1995 Generalised Euler-Jacobi Inversion Formula and Asymptotics Beyond All Orders (London Mathematical Society Lecture Note 214) (Cambridge: Cambridge University Press)
6. Kowalenko V and Taucher T 1997 University of Melbourne Preprint UM-P-97/06
7. Wolfram S 1992 Mathematica - A System for Doing Mathematics by Computer (Reading, MA: Addison-Wesley)
8. Dingle R B 1973 Asymptotic Expansions: Their Derivation and Interpretation (New York: Academic)
9. Gradshteyn I S and Ryzhik I M 1980 Tables of Integrals, Series and Products (New York: Academic)
10. Whittaker E T and Watson G N 1973 A Course of Modern Analysis (Cambridge: Cambridge University Press) ch VIII
11. Hardy G H 1949 Divergent Series (Oxford: Clarendon) p 15
12. Le Guillou J C and Zinn-Justin J (ed) 1990 Current Physics, Sources and Comments Vol 7: Large Order Behaviour of Perturbation Theory (Amsterdam: North-Holland)