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11—20 of 248 matching pages
11: 4.29 Graphics
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§4.29(i) Real Arguments
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►The conformal mapping is obtainable from Figure 4.15.7 by rotating both the -plane and the -plane through an angle , compare (4.28.8). …12: 36.5 Stokes Sets
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36.5.4
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36.5.7
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►This consists of three separate cusp-edged sheets connected to the cusp-edged sheets of the bifurcation set, and related by rotation about the -axis by .
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13: 3.4 Differentiation
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►where is a simple closed contour described in the positive rotational sense such that and its interior lie in the domain of analyticity of , and is interior to .
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14: 8 Incomplete Gamma and Related
Functions
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15: 28 Mathieu Functions and Hill’s Equation
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16: 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.
17: 23 Weierstrass Elliptic and Modular
Functions
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18: 36.2 Catastrophes and Canonical Integrals
19: 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.
20: Bibliography T
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Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations.
Phys. Rev. Lett. 29 (16), pp. 1114–1118.
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Erratum to “COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments”.
Comput. Phys. Comm. 159 (3), pp. 241–242.
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Algorithm 926: incomplete gamma functions with negative arguments.
ACM Trans. Math. Software 39 (2), pp. Art. 14, 9.
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Angular Momentum: An Illustrated Guide to Rotational Symmetries for Physical Systems.
A Wiley-Interscience Publication, John Wiley & Sons Inc., New York.
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Evaluation of the exponential integral for large complex arguments.
J. Research Nat. Bur. Standards 52, pp. 313–317.
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