Borel summability

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1: 1.15 Summability Methods

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Abel Summability

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Cesàro Summability

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Borel Summability

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Abel Summability

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Cesàro Summability

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2: 2.11 Remainder Terms; Stokes Phenomenon

… ►For second-order differential equations, see Olde Daalhuis and Olver (1995a), Olde Daalhuis (1995, 1996), and Murphy and Wood (1997). … ►The first of these two references also provides an introduction to the powerful Borel transform theory. …

3: Bibliography F

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Studies on Divergent Series and Summability & The Asymptotic Developments of Functions Defined by Maclaurin Series. Chelsea Publishing Co., New York.

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Notes:

Reprint with corrections of two books published originally in 1916 and 1936.

External Links:

MathReview

Referenced by:

§2.10(iii).

Encodings:

BibTeX

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4: Bibliography W

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Tables of Summable Series and Integrals Involving Bessel Functions. Holden-Day, San Francisco, CA.

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External Links:

MathReview, ZentralBlatt

Referenced by:

§10.22(vi), §10.23(iv), §10.43(vi).

Encodings:

BibTeX

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5: 10.65 Power Series

… ►For further power series summable in terms of Kelvin functions and their derivatives see Hansen (1975).

6: Bibliography B

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The Borel transform and its use in the summation of asymptotic expansions. Stud. Appl. Math. 105 (2), pp. 83–113.

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External Links:

ISSN 0022-2526, Document, MathReview (A. D. Wood), ZentralBlatt

Referenced by:

§2.11(v).

Encodings:

BibTeX

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7: Bibliography S

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Large orders and summability of eigenvalue perturbation theory: A mathematical overview. Int. J. Quantum Chem. 21, pp. 3–25.

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External Links:

Document

Referenced by:

§22.19(ii).

Encodings:

BibTeX

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