Stieltjes–Perron inversion
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11—20 of 182 matching pages
11: 25.2 Definition and Expansions
12: Bibliography W
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Evaluating elliptic functions and their inverses.
Comput. Math. Appl. 39 (3-4), pp. 131–136.
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Uniform asymptotics of the Stieltjes-Wigert polynomials via the Riemann-Hilbert approach.
J. Math. Pures Appl. (9) 85 (5), pp. 698–718.
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Gevrey asymptotics and Stieltjes transforms of algebraically decaying functions.
Proc. Roy. Soc. London Ser. A 458, pp. 625–644.
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13: Bibliography J
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Sur l’inversion de au moyen des nombres de Stirling associés.
C. R. Acad. Sci. Paris Sér. I Math. 320 (12), pp. 1449–1452.
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Asymptotic behavior of the continued fraction coefficients of a class of Stieltjes transforms including the Binet function.
In Orthogonal functions, moment theory, and continued fractions
(Campinas, 1996),
Lecture Notes in Pure and Appl. Math., Vol. 199, pp. 257–274.
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14: 18.29 Asymptotic Approximations for -Hahn and Askey–Wilson Classes
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18.29.2
; fixed.
βΊFor a uniform asymptotic expansion of the Stieltjes–Wigert polynomials, see Wang and Wong (2006).
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15: 2.6 Distributional Methods
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§2.6(ii) Stieltjes Transform
… βΊThe Stieltjes transform of is defined by … βΊFor a more detailed discussion of the derivation of asymptotic expansions of Stieltjes transforms by the distribution method, see McClure and Wong (1978) and Wong (1989, Chapter 6). Corresponding results for the generalized Stieltjes transform …An application has been given by López (2000) to derive asymptotic expansions of standard symmetric elliptic integrals, complete with error bounds; see §19.27(vi). …16: 18.1 Notation
17: 4.27 Sums
§4.27 Sums
βΊFor sums of trigonometric and inverse trigonometric functions see Gradshteyn and Ryzhik (2000, Chapter 1), Hansen (1975, §§14–42), Oberhettinger (1973), and Prudnikov et al. (1986a, Chapter 5).18: 1.4 Calculus of One Variable
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Stieltjes, Lebesgue, and Lebesgue–Stieltjes integrals
… βΊ … βΊ … βΊ … βΊ See Riesz and Sz.-Nagy (1990, Ch. 3). …19: Bibliography
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Solitons, Nonlinear Evolution Equations and Inverse Scattering.
London Mathematical Society Lecture Note Series, Vol. 149, Cambridge University Press, Cambridge.
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Solitons and the Inverse Scattering Transform.
SIAM Studies in Applied Mathematics, Vol. 4, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
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Zeros of Stieltjes and Van Vleck polynomials and applications.
J. Math. Anal. Appl. 110 (2), pp. 327–339.
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Zeros of Stieltjes and Van Vleck polynomials.
Trans. Amer. Math. Soc. 252, pp. 197–204.
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