second solutions
(0.002 seconds)
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1: 28.5 Second Solutions ,
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►Second solutions of (28.2.1) are given by
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Odd Second Solutions
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…2: 29.17 Other Solutions
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§29.17(i) Second Solution
►If (29.2.1) admits a Lamé polynomial solution , then a second linearly independent solution is given by …3: 9.15 Mathematical Applications
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►Airy functions play an indispensable role in the construction of uniform asymptotic expansions for contour integrals with coalescing saddle points, and for solutions of linear second-order ordinary differential equations with a simple turning point.
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4: Bibliography O
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Hyperasymptotic solutions of second-order linear differential equations. I.
Methods Appl. Anal. 2 (2), pp. 173–197.
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Hyperasymptotic solutions of second-order linear differential equations. II.
Methods Appl. Anal. 2 (2), pp. 198–211.
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A new method for the evaluation of zeros of Bessel functions and of other solutions of second-order differential equations.
Proc. Cambridge Philos. Soc. 46 (4), pp. 570–580.
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Numerical solution of second-order linear difference equations.
J. Res. Nat. Bur. Standards Sect. B 71B, pp. 111–129.
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Bounds for the solutions of second-order linear difference equations.
J. Res. Nat. Bur. Standards Sect. B 71B (4), pp. 161–166.
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5: 28.1 Special Notation
6: 10.25 Definitions
7: 28.22 Connection Formulas
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8: Bibliography Y
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On rational solutions of the second Painlevé equation.
Vesti Akad. Navuk. BSSR Ser. Fiz. Tkh. Nauk. 3, pp. 30–35 (Russian).
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9: Bibliography Z
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Error bounds for asymptotic solutions of second-order linear difference equations.
J. Comput. Appl. Math. 71 (2), pp. 191–212.
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