sphero-conal coordinates
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11—20 of 41 matching pages
11: 36.5 Stokes Sets
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►For , the Stokes set is expressed in terms of scaled coordinates
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36.5.7
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36.5.10
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►With coordinates
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36.5.17
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12: 14.19 Toroidal (or Ring) Functions
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§14.19(i) Introduction
… ►This form of the differential equation arises when Laplace’s equation is transformed into toroidal coordinates , which are related to Cartesian coordinates by …13: 31.17 Physical Applications
14: Howard S. Cohl
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►Cohl has published papers in orthogonal polynomials and special functions, and is particularly interested in fundamental solutions of linear partial differential equations on Riemannian manifolds, associated Legendre functions, generalized and basic hypergeometric functions, eigenfunction expansions of fundamental solutions in separable coordinate systems for linear partial differential equations, orthogonal polynomial generating function and generalized expansions, and -series.
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15: 1.5 Calculus of Two or More Variables
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§1.5(ii) Coordinate Systems
… ►Polar Coordinates
… ►Cylindrical Coordinates
… ►Spherical Coordinates
… ►For applications and other coordinate systems see §§12.17, 14.19(i), 14.30(iv), 28.32, 29.18, 30.13, 30.14. …16: 19.26 Addition Theorems
17: 30.1 Special Notation
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18: 22.19 Physical Applications
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22.19.4
►where is the potential energy, and is the coordinate as a function of time .
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22.19.5
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22.19.6
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22.19.8
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19: 30.2 Differential Equations
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►In applications involving prolate spheroidal coordinates
is positive, in applications involving oblate spheroidal coordinates
is negative; see §§30.13, 30.14.
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20: 23.20 Mathematical Applications
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►or equivalently, on replacing by and by (projective coordinates), into the form
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23.20.2
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►Let denote the set of points on that are of finite order (that is, those points for which there exists a positive integer with ), and let be the sets of points with integer and rational coordinates, respectively.
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