differential%20equations
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21—28 of 28 matching pages
21: Bibliography N
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On an integral transform involving a class of Mathieu functions.
SIAM J. Math. Anal. 20 (6), pp. 1500–1513.
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Reduction and evaluation of elliptic integrals.
Math. Comp. 20 (94), pp. 223–231.
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Uniform Asymptotic Approximations of Solutions of Second-order Linear Differential Equations, with a Coalescing Simple Turning Point and Simple Pole.
Ph.D. Thesis, University of Maryland, College Park, MD.
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A separating surface for the Painlevé differential equation
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J. Math. Anal. Appl. 193 (3), pp. 817–831.
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Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations
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Pergamon Press, Oxford.
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22: 25.11 Hurwitz Zeta Function
23: 20.11 Generalizations and Analogs
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βΊThe first of equations (20.9.2) can also be written
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βΊThe importance of these combined theta functions is that sets of twelve equations for the theta functions often can be replaced by corresponding sets of three equations of the combined theta functions, plus permutation symmetry.
Such sets of twelve equations include derivatives, differential equations, bisection relations, duplication relations, addition formulas (including new ones for theta functions), and pseudo-addition formulas.
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24: 9.18 Tables
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Zhang and Jin (1996, p. 337) tabulates , , , for to 8S and for to 9D.
Sherry (1959) tabulates , , , , ; 20S.
Zhang and Jin (1996, p. 339) tabulates , , , , , , , , ; 8D.
25: 25.12 Polylogarithms
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25.12.2
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βΊThe remainder of the equations in this subsection apply to principal branches.
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25.12.9
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26: Bibliography F
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Computation of complex Airy functions and their zeros using asymptotics and the differential equation.
ACM Trans. Math. Software 30 (4), pp. 471–490.
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Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
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Tables of Elliptic Integrals of the First, Second, and Third Kind.
Technical report
Technical Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio.
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On weighted polynomial approximation on the whole real axis.
Acta Math. Acad. Sci. Hungar. 20, pp. 223–225.
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27: 18.39 Applications in the Physical Sciences
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βΊThe finite system of functions is orthonormal in , see (18.34.7_3).
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βΊThe Schrödinger equation with potential
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