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resurgence properties of coefficients

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1: 10.20 Uniform Asymptotic Expansions for Large Order
For resurgence properties of the coefficients2.7(ii)) see Howls and Olde Daalhuis (1999). … …
2: Bibliography O
  • A. B. Olde Daalhuis (1998c) On the resurgence properties of the uniform asymptotic expansion of the incomplete gamma function. Methods Appl. Anal. 5 (4), pp. 425–438.
  • A. B. Olde Daalhuis (2000) On the asymptotics for late coefficients in uniform asymptotic expansions of integrals with coalescing saddles. Methods Appl. Anal. 7 (4), pp. 727–745.
  • F. W. J. Olver (1994a) Asymptotic expansions of the coefficients in asymptotic series solutions of linear differential equations. Methods Appl. Anal. 1 (1), pp. 1–13.
  • 3: Bibliography N
  • National Bureau of Standards (1944) Tables of Lagrangian Interpolation Coefficients. Columbia University Press, New York.
  • G. Nemes (2014b) The resurgence properties of the large order asymptotics of the Anger-Weber function I. J. Class. Anal. 4 (1), pp. 1–39.
  • G. Nemes (2014c) The resurgence properties of the large order asymptotics of the Anger-Weber function II. J. Class. Anal. 4 (2), pp. 121–147.
  • G. Nemes (2015c) The resurgence properties of the incomplete gamma function II. Stud. Appl. Math. 135 (1), pp. 86–116.
  • G. Nemes (2016) The resurgence properties of the incomplete gamma function, I. Anal. Appl. (Singap.) 14 (5), pp. 631–677.
  • 4: 2.11 Remainder Terms; Stokes Phenomenon
    with …
    §2.11(v) Exponentially-Improved Expansions (continued)
    However, to enjoy the resurgence property2.7(ii)) we often seek instead expansions in terms of the F -functions introduced in §2.11(iii), leaving the connection of the error-function type behavior as an implicit consequence of this property of the F -functions. … In addition to achieving uniform exponential improvement, particularly in | ph z | π for w 1 ( z ) , and 0 ph z 2 π for w 2 ( z ) , the re-expansions (2.11.20), (2.11.21) are resurgent. … in which …