Bibliography F

♦A♦B♦C♦D♦E♦F♦G♦H♦I♦J♦K♦L♦M♦N♦O♦P♦Q♦R♦S♦T♦U♦V♦W♦Y♦Z♦

B. R. Fabijonas and F. W. J. Olver (1999)
On the reversion of an asymptotic expansion and the zeros of the Airy functions,

SIAM Rev.41 (4), pp. 762–773.

External Links: ISSN 1095-7200, Document, MathReview (Eberhard Wagner), ZentralBlatt

Cited by: §2.2, §2.2, §9.9(iv), §9.9(iv)
B. R. Fabijonas, D. W. Lozier and F. W. J. Olver (2004)
Computation of complex Airy functions and their zeros using asymptotics and the differential equation,

ACM Trans. Math. Software30 (4), pp. 471–490.

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

Cited by: §9.17(ii), §9.17(v), §9.8(iv)
B. R. Fabijonas (2004)
Algorithm 838: Airy functions,

ACM Trans. Math. Software30 (4), pp. 491–501.

Note: Single- and double-precision Fortran, maximum accuracy 32S.

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

Cited by: §9.20(ii), §9.20(iii), §9.20(iv)
D. F. Fang and J. F. Shriner (1992)
A computer program for the calculation of angular-momentum coupling coefficients,

Comput. Phys. Comm.70 (1), pp. 147–153.

Note: Fortran for exact calculation using integers

External Links: ISSN 0010-4655, Document, Code, MathReview Entry

Cited by: §34.13, §34.13, §34.15
FDLIBM (free C library)
Note: The “Freely Distributable LIBM” package provides implementations of standard elementary functions plus a few higher functions, e.g. gamma. Double precision, maximum accuracy 20S. Developed by Sun Microsystems.

External Links: Package FDLIBM (in GAMS)

Cited by: Tab.1
C. Ferreira and J. L. López (2001)
An asymptotic expansion of the double gamma function,

J. Approx. Theory111 (2), pp. 298–314.

External Links: ISSN 0021-9045, Document, MathReview (C. M. Joshi), ZentralBlatt

Cited by: §5.17
A. M. S. Filho and G. Schwachheim (1967)
Algorithm 309. Gamma function with arbitrary precision,

Comm. ACM10 (8), pp. 511–512.

External Links: ISSN 0001-0782, Document

Cited by: §5.24(ii)
P. Flajolet and A. Odlyzko (1990)
Singularity analysis of generating functions,

SIAM J. Discrete Math.3 (2), pp. 216–240.

External Links: ISSN 0895-4801, Document, MathReview (E. Rodney Canfield), ZentralBlatt

Cited by: §2.10(iv)
A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie (1962)
An Index of Mathematical Tables. Vols. I, II,

2nd edition, Published for Scientific Computing Service Ltd., London, by Addison-Wesley Publishing Co., Inc., Reading, MA.

Note: Table errata: Math. Comp. v.27 (1973), p. 1009.

External Links: MathReview

Cited by: §5.22(i), §9.18(i)
J. P. M. Flude (1998)
The Edmonds asymptotic formulas for the $3j$ and $6j$ symbols,

J. Math. Phys.39 (7), pp. 3906–3915.

External Links: ISSN 0022-2488, Document, MathReview (A. J. Coleman), ZentralBlatt

Cited by: §34.8

FN (free Fortran library)
Note: Mathematical function library treating more than 100 mathematical functions. Implementations in single and double precision are provided. See Fullerton (1977).

External Links: Package FN (in GAMS)

Cited by: Tab.1
V. Fock (1945)
Diffraction of radio waves around the earth's surface,

Acad. Sci. USSR. J. Phys.9, pp. 255–266.

External Links: MathReview, ZentralBlatt

Cited by: §9.1
V. A. Fock (1965)
Electromagnetic Diffraction and Propagation Problems,

International Series of Monographs on Electromagnetic Waves, Vol. 1, Pergamon Press, Oxford.

External Links: MathReview (R. F. Millar)

Cited by: §9.16
K. W. Ford and J. A. Wheeler (1959)
Application of semiclassical scattering analysis,

Ann. Physics7 (3), pp. 287–322.

External Links: ISSN 0003-4916, Document, MathReview, ZentralBlatt

Cited by: §9.16
K. W. Ford and J. A. Wheeler (1959)
Semiclassical description of scattering,

Ann. Physics7 (3), pp. 259–286.

External Links: ISSN 0003-4916, Document, MathReview, ZentralBlatt

Cited by: §9.16
W. B. Ford (1960)
Studies on Divergent Series and Summability & The Asymptotic Developments of Functions Defined by Maclaurin Series,

Chelsea Publishing Co., New York.

Note: Reprint with corrections of two books published originally in 1916 and 1936.

External Links: MathReview

Cited by: §2.10(iii)
L. Fox (1960)
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.

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

Cited by: §9.18(ii)
F. G. Friedlander (1958)
Sound Pulses,

Cambridge University Press, Cambridge-New York.

External Links: MathReview (A. E. Heins), ZentralBlatt

Cited by: §9.16
L. W. Fullerton (1977)
Portable Special Function Routines,

in Portability of Numerical Software (Oak Brook, Illinois, 1976),

Lecture Notes in Computer Science, Vol. 57, pp. 452–483.

External Links: Package FN (in GAMS)

Cited by: FN (free Fortran library)