By Costin O., et al. (eds.)

ISBN-10: 8876423796

ISBN-13: 9788876423796

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Additional info for Asymptotics in dynamics, geometry and PDEs ; Generalized borel summation. / Vol. I

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B. FAIRLIE, J. Phys. A: Math. Theor. 41 No 24 (20 June 2008) 244009 (2pp) [28] C. M. B ENDER , F. C OOPER , A. K HARE , B. M IHAILA , and A. S AXENA, Pramana J. Phys. 73, 375 (2009). [29] P. E. G. A SSIS and A. 1267. [30] C. M. B ENDER , J. F EINBERG , D. W. H OOK , and D. J. W EIR, Pramana J. Phys. 73, 453 (2009). [31] A. V. S MILGA, J. Phys. A: Math. Theor. 42, 095301 (2009). [32] A. M OSTAFAZADEH, Phys. Rev. Lett. 102, 220402 (2009). [33] C. M. B ENDER , D. W. H OOK , P. N. M EISINGER , and Q.

136 The general resurgence algebra for SP series . . . . 1 Holomorphic input f . The Àve arrows . . . 2 Meromorphic input F: the general picture . . 4 Rational inputs F: the inner algebra . . . . 150 The inner resurgence algebra for SP series . . . . 1 Polynomial inputs f . Examples . . . . . 2 Holomorphic inputs f . Examples . . . . 3 Rational inputs F. Examples . . . . . . 4 Holomorphic/meromorphic inputs F. Examples . 158 Application to some knot-related power series .

2 ODEs for polynomial inputs f . 4 The global resurgence picture for polynomial inputs f . . . . . . . . . . . . 6 ODEs for monomial inputs F . . . . . 7 Monomial inputs F: global resurgence . . . 8 Monomial inputs F: algebraic aspects . . . 11 From Áexible to rigid resurgence . . . . . 136 The general resurgence algebra for SP series . . . . 1 Holomorphic input f . The Àve arrows . . . 2 Meromorphic input F: the general picture . . 4 Rational inputs F: the inner algebra .

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Asymptotics in dynamics, geometry and PDEs ; Generalized borel summation. / Vol. I by Costin O., et al. (eds.)


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