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1: 19.34 Mutual Inductance of Coaxial Circles
§19.34 Mutual Inductance of Coaxial Circles
►The mutual inductance of two coaxial circles of radius and with centers at a distance apart is given in cgs units by ►
19.34.1
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►is the square of the maximum (upper signs) or minimum (lower signs) distance between the circles.
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►References for other inductance problems solvable in terms of elliptic integrals are given in Grover (1946, pp. 8 and 283).
2: 20 Theta Functions
Chapter 20 Theta Functions
…3: Bibliography G
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Algorithm 726: ORTHPOL — a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.
ACM Trans. Math. Software 20 (1), pp. 21–62.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
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Special functions of matrix argument. I. Algebraic induction, zonal polynomials, and hypergeometric functions.
Trans. Amer. Math. Soc. 301 (2), pp. 781–811.
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Inductance Calculations.
Van Nostrand, New York.
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4: Tom M. Apostol
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►Apostol was born on August 20, 1923.
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►Tom Apostol and his wife Jane were inducted into the MAA’s Icosahedron Society in 2010.
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5: 8 Incomplete Gamma and Related
Functions
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6: 28 Mathieu Functions and Hill’s Equation
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7: 8.26 Tables
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Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
8: 23 Weierstrass Elliptic and Modular
Functions
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9: 36 Integrals with Coalescing Saddles
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10: Gergő Nemes
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►As of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions.
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