connection formula
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31—40 of 65 matching pages
31: 13.29 Methods of Computation
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►For and we may integrate along outward rays from the origin in the sectors , with initial values obtained from connection formulas in §13.2(vii), §13.14(vii).
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32: 25.15 Dirichlet -functions
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25.15.5
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33: Bibliography T
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On the connection formula for the first Painlevé equation—from the viewpoint of the exact WKB analysis.
Sūrikaisekikenkyūsho Kōkyūroku (931), pp. 70–99.
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34: 28.5 Second Solutions ,
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►(Other normalizations for and can be found in the literature, but most formulas—including connection formulas—are unaffected since and are invariant.)
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35: 33.16 Connection Formulas
§33.16 Connection Formulas
…36: 9.13 Generalized Airy Functions
37: 18.18 Sums
38: 2.8 Differential Equations with a Parameter
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►For error bounds, more delicate error estimates, extensions to complex and , zeros, connection formulas, extensions to inhomogeneous equations, and examples, see Olver (1997b, Chapters 11, 13), Olver (1964b), Reid (1974a, b), Boyd (1987), and Baldwin (1991).
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►For results, including error bounds, see Olver (1977c).
►For connection formulas for Liouville–Green approximations across these transition points see Olver (1977b, a, 1978).
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