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21—30 of 70 matching pages
21: Bibliography F
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Continuous and Discrete Painlevé Equations.
In Painlevé Transcendents: Their Asymptotics and Physical Applications, D. Levi and P. Winternitz (Eds.),
NATO Adv. Sci. Inst. Ser. B Phys., Vol. 278, pp. 33–47.
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Computing the hypergeometric function.
J. Comput. Phys. 137 (1), pp. 79–100.
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Evaluation, design and extrapolation methods for optical signals, based on use of the prolate functions.
In Progress in Optics, E. Wolf (Ed.),
Vol. 9, pp. 311–407.
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Portable Special Function Routines.
In Portability of Numerical Software (Oak Brook, Illinois, 1976), W. R. Cowell (Ed.),
Lecture Notes in Computer Science, Vol. 57, pp. 452–483.
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22: 15.3 Graphics
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23: Bibliography M
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Maplesoft.
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Geometrical and Catastrophe Optics Methods in Scattering.
In Physical Acoustics, A. D. Pierce and R. N. Thurston (Eds.),
Vol. 21, pp. 1–234.
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Foundations of Finite Precision Rational Arithmetic.
In Fundamentals of Numerical Computation (Computer-oriented
Numerical Analysis), G. Alefeld and R. D. Grigorieff (Eds.),
Comput. Suppl., Vol. 2, Vienna, pp. 85–111.
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Derivatives of the Hurwitz zeta function for rational arguments.
J. Comput. Appl. Math. 100 (2), pp. 201–206.
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Zeros of first derivatives of Bessel functions of the first kind, , ,
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J. Res. Nat. Bur. Standards Sect. B 67B (3), pp. 181–183.
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24: 27.14 Unrestricted Partitions
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►For example, = , and .
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25: 23.17 Elementary Properties
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►In (23.17.5) for terms up to see Zuckerman (1939), and for terms up to see van Wijngaarden (1953).
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26: 5.17 Barnes’ -Function (Double Gamma Function)
27: 10.13 Other Differential Equations
28: Bibliography N
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Numerical evaluation of the confluent hypergeometric function for complex arguments of large magnitudes.
J. Comput. Appl. Math. 39 (2), pp. 193–200.
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Error Bounds for the Large-Argument Asymptotic Expansions of the Hankel and Bessel Functions.
Acta Appl. Math. 150, pp. 141–177.
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29: 33.20 Expansions for Small
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►For a comprehensive collection of asymptotic expansions that cover and as and are uniform in , including unbounded values, see Curtis (1964a, §7).
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30: Bibliography J
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Further results on the computation of incomplete gamma functions.
In Analytic Theory of Continued Fractions, II
(Pitlochry/Aviemore, 1985), W. J. Thron (Ed.),
Lecture Notes in Math. 1199, pp. 67–89.
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Stirling Numbers, Lambert W and the Gamma Function.
In Mathematical Aspects of Computer and Information Sciences, J. Blömer, I. S. Kotsireas, T. Kutsia, and D. E. Simos (Eds.),
Cham, pp. 275–279.
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Uniform asymptotic expansions for Meixner polynomials.
Constr. Approx. 14 (1), pp. 113–150.
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