classification%20of%20cases
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21—30 of 365 matching pages
21: Peter L. Walker
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22: Staff
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William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, for Chaps. 20, 22, 23
23: 2.8 Differential Equations with a Parameter
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§2.8(i) Classification of Cases
… ►There are three main cases. … ►for Case I, …for Case II, …for Case III. …24: 31.14 General Fuchsian Equation
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25: 32.8 Rational Solutions
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►The rational solutions when the parameters satisfy (32.8.22) are special cases of §32.10(iv).
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►Cases (a) and (b) are special cases of §32.10(v).
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►For the case
see Airault (1979) and Lukaševič (1968).
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►In the general case, has rational solutions if
…These are special cases of §32.10(vi).
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26: 10.75 Tables
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Achenbach (1986) tabulates , , , , , 20D or 18–20S.
Bickley et al. (1952) tabulates or , or , , (.01 or .1) 10(.1) 20, 8S; , , , or , 10S.
Kerimov and Skorokhodov (1984b) tabulates all zeros of the principal values of and , for , 9S.
Zhang and Jin (1996, p. 322) tabulates , , , , , , , , , 7S.
Zhang and Jin (1996, p. 323) tabulates the first real zeros of , , , , , , , , 8D.
27: 24.20 Tables
28: 7.8 Inequalities
29: 3.8 Nonlinear Equations
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►As in the case of Table 3.8.1 the quadratic nature of convergence is clearly evident: as the zero is approached, the number of correct decimal places doubles at each iteration.
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3.8.15
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►Consider and .
We have and .
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3.8.16
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30: 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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Géza Freud, orthogonal polynomials and Christoffel functions. A case study.
J. Approx. Theory 48 (1), pp. 3–167.
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A table of integrals of the error functions.
J. Res. Nat. Bur. Standards Sect B. 73B, pp. 1–20.
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