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21: 2.3 Integrals of a Real Variable
§2.3(v) Coalescing Peak and Endpoint: Bleistein’s Method
22: Bibliography O
  • 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.
  • 23: Bibliography L
  • C. Leubner and H. Ritsch (1986) A note on the uniform asymptotic expansion of integrals with coalescing endpoint and saddle points. J. Phys. A 19 (3), pp. 329–335.
  • 24: 16.8 Differential Equations
    Thus in the case p = q the regular singularities of the function on the left-hand side at α and coalesce into an irregular singularity at . …
    25: Bibliography B
  • M. V. Berry and C. J. Howls (1993) Unfolding the high orders of asymptotic expansions with coalescing saddles: Singularity theory, crossover and duality. Proc. Roy. Soc. London Ser. A 443, pp. 107–126.
  • 26: 2.10 Sums and Sequences
    For uniform expansions when two singularities coalesce on the circle of convergence see Wong and Zhao (2005). …
    27: 13.2 Definitions and Basic Properties
    In effect, the regular singularities of the hypergeometric differential equation at b and coalesce into an irregular singularity at . …