trigonometric%20arguments
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9 matching pages
1: Bibliography F
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Theory and Computation of Spheroidal Harmonics with General Arguments.
Master’s Thesis, The University of Western Australia, Department of Physics.
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Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
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Tables of Weber Parabolic Cylinder Functions and Other Functions for Large Arguments.
National Physical Laboratory Mathematical Tables, Vol. 4.
Department of Scientific and Industrial Research, Her Majesty’s Stationery Office, London.
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Error bounds for the asymptotic expansion of the ratio of two gamma functions with complex argument.
SIAM J. Math. Anal. 23 (2), pp. 505–511.
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Fast computation of incomplete elliptic integral of first kind by half argument transformation.
Numer. Math. 116 (4), pp. 687–719.
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2: Bibliography M
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The dilogarithm function for complex argument.
Proc. Roy. Soc. London Ser. A 459, pp. 2807–2819.
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Calculation of the modified Bessel functions of the second kind with complex argument.
Math. Comp. 20 (95), pp. 407–412.
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Über die asymptotische Entwicklung von , für große Werte von und . I, II.
Proc. Akad. Wet. Amsterdam 35, pp. 1170–1180, 1291–1303 (German).
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The -analogue of the Laguerre polynomials.
J. Math. Anal. Appl. 81 (1), pp. 20–47.
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The dilogarithm function of a real argument.
Math. Comp. 33 (146), pp. 778–787.
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3: 20.10 Integrals
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20.10.4
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20.10.5
βΊFor corresponding results for argument derivatives of the theta functions see Erdélyi et al. (1954a, pp. 224–225) or Oberhettinger and Badii (1973, p. 193).
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4: 25.6 Integer Arguments
§25.6 Integer Arguments
βΊ§25.6(i) Function Values
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25.6.3
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25.6.6
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§25.6(ii) Derivative Values
…5: Bibliography K
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Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library.
ACM Trans. Math. Software 20 (4), pp. 447–459.
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Methods of computing the Riemann zeta-function and some generalizations of it.
USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
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Algorithm 877: A subroutine package for cylindrical functions of complex order and nonnegative argument.
ACM Trans. Math. Software 34 (4), pp. Art. 22, 21.
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Algorithm 912: a module for calculating cylindrical functions of complex order and complex argument.
ACM Trans. Math. Software 37 (4), pp. Art. 47, 25.
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Programs for computing the logarithm of the gamma function, and the digamma function, for complex argument.
Comput. Phys. Comm. 4, pp. 221–226.
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6: Software Index
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7: 9.7 Asymptotic Expansions
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9.7.3
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9.7.4
βΊNumerical values of are given in Table 9.7.1 for to 2D.
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9.7.9
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9.7.10
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8: Errata
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Equation (23.12.2)
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Equations (33.11.2)–(33.11.7)
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Equation (22.19.2)
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Chapters 8, 20, 36
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References
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23.12.2
Originally, the factor of 2 was missing from the denominator of the argument of the function.
Reported by Blagoje Oblak on 2019-05-27
22.19.2
Originally the first argument to the function was given incorrectly as . The correct argument is .
Reported 2014-03-05 by Svante Janson.
9: Bibliography R
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On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
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Computation of Hankel (Bessel) functions of complex index and argument by numerical integration of a Schläfli contour integral.
Ε½. VyΔisl. Mat. i Mat. Fiz. 13, pp. 1415–1424, 1636.
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Mathieu functions of integral orders and real arguments.
IEEE Trans. Microwave Theory Tech. 28 (3), pp. 276–277.
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Total positivity properties of generalized hypergeometric functions of matrix argument.
J. Statist. Phys. 116 (1-4), pp. 907–922.
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Precision controlled trigonometric algorithms.
Appl. Math. Comput. 2 (4), pp. 335–352.
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