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1—10 of 25 matching pages
1: 18.37 Classical OP’s in Two or More Variables
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§18.37(i) Disk Polynomials
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18.37.2
and/or .
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►The following three conditions, taken together, determine uniquely:
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18.37.3
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18.37.5
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2: 11.12 Physical Applications
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►Applications of Struve functions occur in water-wave and surface-wave problems (Hirata (1975) and Ahmadi and Widnall (1985)), unsteady aerodynamics (Shaw (1985) and Wehausen and Laitone (1960)), distribution of fluid pressure over a vibrating disk (McLachlan (1934)), resistive MHD instability theory (Paris and Sy (1983)), and optical diffraction (Levine and Schwinger (1948)).
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3: 18.1 Notation
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Disk: .
4: 16.23 Mathematical Applications
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►The Bieberbach conjecture states that if is a conformal map of the unit disk to any complex domain, then .
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5: 15.19 Methods of Computation
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►However, by appropriate choice of the constant in (15.15.1) we can obtain an infinite series that converges on a disk containing .
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6: 31.4 Solutions Analytic at Two Singularities: Heun Functions
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►For an infinite set of discrete values , , of the accessory parameter , the function is analytic at , and hence also throughout the disk
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7: 30.14 Wave Equation in Oblate Spheroidal Coordinates
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►The -space without the -axis and the disk
, corresponds to
…The disk
, is given by , , and the rays , are given by , .
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►If , then this property holds outside the focal disk.
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8: 1.9 Calculus of a Complex Variable
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Continuity
… ►That is, given any positive number , however small, we can find a positive number such that for all in the open disk . … ►A neighborhood of a point is a disk . … ►A system of open disks around infinity is given by ►
1.9.35
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9: 3.5 Quadrature
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§3.5(x) Cubature Formulas
►Table 3.5.21 supplies cubature rules, including weights , for the disk , given by : ►
3.5.47
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10: 19.33 Triaxial Ellipsoids
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►A conducting elliptic disk is included as the case .
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