Bibliography C

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R. D. Carlitz (1972)
Hadronic matter at high density,

Phys. Rev. D5 (12), pp. 3231–3242.

External Links: Document

Cited by: §5.20
B. C. Carlson and J. L. Gustafson (1985)
Asymptotic expansion of the first elliptic integral,

SIAM J. Math. Anal.16 (5), pp. 1072–1092.

External Links: ISSN 0036-1410, Document, MathReview (Kusum Soni)

Cited by: §2.5(ii)
B. C. Carlson and G. S. Rushbrooke (1950)
On the expansion of a Coulomb potential in spherical harmonics,

Proc. Cambridge Philos. Soc.46, pp. 626–633.

External Links: MathReview (A. Erdélyi)

Cited by: §34.12
B. C. Carlson (1977)
Special Functions of Applied Mathematics,

Academic Press, New York.

External Links: ISBN 0-12-160150-1, MathReview, ZentralBlatt

Cited by: §5.12, §5.6(ii)
M. Carmignani and A. Tortorici Macaluso (1985)
Calcolo delle funzioni speciali $\Gamma(x)$ , $\mathrm{log}\Gamma(x)$ , $\beta(x,y)$ , $\mathrm{erf}(x)$ , $\mathrm{erfc}(x)$ alle alte precisioni,

Atti Accad. Sci. Lett. Arti Palermo Ser. (5)2(1981/82) (1), pp. 7–25 (Italian).

Note: Translated title: Computation of the special functions $\Gamma(x),\;{\rm log}\,\Gamma(x),\;\beta(x,y),\;{\rm erf}\,(x),\;{\rm erfc}\,(x)$ to a high degree of precision

External Links: MathReview

Cited by: §5.24(ii)
CEPHES (free C library)
Note: Mathematical function library treating about 180 different mathematical functions, including a substantial collection of probability integrals, Bessel functions, and higher transcendental functions. Implementations in single, double, and quad precisions provided. See Moshier (1989).

External Links: Package CEPHES (in GAMS)

Cited by: Tab.1
B. W. Char (1980)
On Stieltjes' continued fraction for the gamma function,

Math. Comp.34 (150), pp. 547–551.

External Links: ISSN 0025-5718, FullText, MathReview, ZentralBlatt

Cited by: §5.10
L. Chen, M. E. H. Ismail and P. Simeonov (1999)
Asymptotics of Racah coefficients and polynomials,

J. Phys. A32 (3), pp. 537–553.

External Links: ISSN 0305-4470, Document, MathReview, ZentralBlatt

Cited by: §34.8, §34.8
J-R. Chen (1966)
On the Representation of a Large Even Integer as the Sum of a Prime and the Product of at Most Two Primes,

Kexue Tongbao (Foreign Language Ed.)17, pp. 385–386.

Cited by: §27.13(ii)
C. Chester, B. Friedman and F. Ursell (1957)
An extension of the method of steepest descents,

Proc. Cambridge Philos. Soc.53, pp. 599–611.

External Links: MathReview (P. Henrici), ZentralBlatt

Cited by: §2.4(v)
R. C. Y. Chin and G. W. Hedstrom (1978)
A dispersion analysis for difference schemes: tables of generalized Airy functions,

Math. Comp.32 (144), pp. 1163–1170.

External Links: ISSN 0025-5718, FullText, MathReview (Philip Brenner), ZentralBlatt

Cited by: §9.13(ii)
A. Ciarkowski (1989)
Uniform asymptotic expansion of an integral with a saddle point, a pole and a branch point,

Proc. Roy. Soc. London Ser. A426, pp. 273–286.

External Links: ISSN 0080-4630, FullText, MathReview, ZentralBlatt

Cited by: §2.4(vi)
G. M. Cicuta and E. Montaldi (1975)
Remarks on the full asymptotic expansion of Feynman parametrized integrals,

Lett. Nuovo Cimento (2)13 (8), pp. 310–312.

External Links: MathReview (R. A. Askey)

Cited by: §2.3(iii)
C. W. Clark (1979)
Coulomb phase shift,

American Journal of Physics47 (8), pp. 683–684.

External Links: Link, Document

Cited by: §5.20

C. W. Clenshaw, G. F. Miller and M. Woodger (1963)
Handbook series special functions. Algorithms for special functions. I,

Numer. Math.4, pp. 403–419.

External Links: ISSN 0029-599X, Document, ZentralBlatt

Cited by: §5.24(ii)
C. W. Clenshaw (1962)
Chebyshev Series for Mathematical Functions,

National Physical Laboratory Mathematical Tables, Vol. 5. Department of Scientific and Industrial Research, Her Majesty's Stationery Office, London.

External Links: MathReview (L. J. Slater), ZentralBlatt

Cited by: §5.23(ii)
W. J. Cody and K. E. Hillstrom (1967)
Chebyshev approximations for the natural logarithm of the gamma function,

Math. Comp.21 (98), pp. 198–203.

External Links: FullText, ZentralBlatt

Cited by: §5.23(i)
W. J. Cody, A. J. Strecok and H. C. Thacher (1973)
Chebyshev approximations for the psi function,

Math. Comp.27 (121), pp. 123–127.

External Links: FullText, MathReview, ZentralBlatt

Cited by: §5.23(i)
W. J. Cody (1991)
Performance evaluation of programs related to the real gamma function,

ACM Trans. Math. Software17 (1), pp. 46–54.

External Links: ISSN 0098-3500, Document, MathReview, ZentralBlatt

Cited by: §5.24(ii), §5.24(iii)
W. J. Cody (1993)
Algorithm 715: SPECFUN – A portable FORTRAN package of special function routines and test drivers,

ACM Trans. Math. Software19 (1), pp. 22–32.

Note: Double precision, maximum accuracy 18S.

External Links: ISSN 0098-3500, Document, Remark. TOMS module 715 (in GAMS), ZentralBlatt

Cited by: §5.24(ii), §5.24(iii)
H. Cohen (1993)
A Course in Computational Algebraic Number Theory,

Springer-Verlag, Berlin-New York.

External Links: ISBN 3-540-55640-0, 0-387-55640-0, MathReview (Joe P. Buhler), ZentralBlatt

Cited by: §27.18, §27.18
E. U. Condon and G. H. Shortley (1935)
The Theory of Atomic Spectra,

Cambridge University Press, Cambridge.

Note: Reprinted with corrections in 1991. Transferred to digital reprinting, 1999.

External Links: ISBN 0-521-04713-7; 0-521-09209-4, ZentralBlatt

Cited by: §34.1
E. D. Constantinides and R. J. Marhefka (1993)
Efficient and accurate computation of the incomplete Airy functions,

Radio Science28 (4), pp. 441–458.

External Links: ISSN 0048-6604, Document

Cited by: §9.14
E. T. Copson (1963)
On the asymptotic expansion of Airy's integral,

Proc. Glasgow Math. Assoc.6, pp. 113–115.

External Links: MathReview (L. Berg), ZentralBlatt

Cited by: §9.5(ii)
R. M. Corless, D. J. Jeffrey and H. Rasmussen (1992)
Numerical evaluation of Airy functions with complex arguments,

J. Comput. Phys.99 (1), pp. 106–114.

External Links: ISSN 0021-9991, Document, MathReview, ZentralBlatt

Cited by: §9.18(iv), §9.19(iii)
R. Crandall and C. Pomerance (2005)
Prime Numbers: A Computational Perspective,

2nd edition, Springer-Verlag, New York.

External Links: ISBN 978-0-387-25282-7; 0-387-25282-7, MathReview (Robert Juricevic), ZentralBlatt

Cited by: §27.12, §27.12, §27.18, §27.18, §27.18, §27.18, §27.18, §27.18, §27.19, §27.19, §27.19
Cunningham Project (Web Site)
Note: Seeks to factor numbers of the form $b^{n}\pm 1$ for $b=2,3,5,6,7,10,11,12$ . Home Page.

Cited by: §27.19, §27.22
A. Cuyt, V. B. Petersen, B. Verdonk, H. Waadeland and W. B. Jones (2008)
Handbook of Continued Fractions for Special Functions,

Springer, Dordrecht.

Note: With contributions by Franky Backeljauw and Catherine Bonan-Hamada. Verified numerical output by Stefan Becuwe and Annie Cuyt.

External Links: ZentralBlatt

Cited by: §5.10, §5.15