Borel summability
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1: 1.15 Summability Methods
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Abel Summability
… ►Cesàro Summability
… ►Borel Summability
… ►Abel Summability
… ►Cesàro Summability
…2: 2.11 Remainder Terms; Stokes Phenomenon
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►For second-order differential equations, see Olde Daalhuis and Olver (1995a), Olde Daalhuis (1995, 1996), and Murphy and Wood (1997).
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►The first of these two references also provides an introduction to the powerful Borel transform theory.
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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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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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5: 10.65 Power Series
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►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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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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