special%20values%20of%20the%20variable
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7 matching pages
1: 25.12 Polylogarithms
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►Other notations and names for include (Kölbig et al. (1970)), Spence function (’t Hooft and Veltman (1979)), and (Maximon (2003)).
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►For other values of , is defined by analytic continuation.
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►The special case is the Riemann zeta function: .
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2: 5.11 Asymptotic Expansions
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►Wrench (1968) gives exact values of up to .
Spira (1971) corrects errors in Wrench’s results and also supplies exact and 45D values of for .
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►uniformly for bounded real values of .
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5.11.12
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5.11.13
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3: Bibliography G
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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics.
Developments in Mathematics, Vol. 4, Kluwer Academic Publishers, Dordrecht.
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Computational Methods in Special Functions – A Survey.
In Theory and Application of Special Functions (Proc. Advanced
Sem., Math. Res. Center, Univ. Wisconsin, Madison, Wis.,
1975), R. A. Askey (Ed.),
pp. 1–98. Math. Res. Center, Univ. Wisconsin Publ., No. 35.
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The Computation of Special Functions by Linear Difference Equations.
In Advances in Difference Equations (Veszprém, 1995), S. Elaydi, I. Győri, and G. Ladas (Eds.),
pp. 213–243.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
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4: Bibliography I
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The real roots of Bernoulli polynomials.
Ann. Univ. Turku. Ser. A I 37, pp. 1–20.
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Centre for Experimental and Constructive Mathematics, Simon Fraser University, Canada.
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Theory and Applications of Special Functions.
Developments in Mathematics, Vol. 13, Springer, New York.
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Special Functions, -Series and Related Topics.
Fields Institute Communications, Vol. 14, American Mathematical Society, Providence, RI.
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From Gauss to Painlevé: A Modern Theory of Special Functions.
Aspects of Mathematics E, Vol. 16, Friedr. Vieweg & Sohn, Braunschweig, Germany.
5: Bibliography L
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A Numerical Library in C for Scientists and Engineers.
CRC Press, Boca Raton, FL.
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A Numerical Library in Java for Scientists & Engineers.
Chapman & Hall/CRC, Boca Raton, FL.
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Special Functions and Their Applications.
Prentice-Hall Inc., Englewood Cliffs, N.J..
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An asymptotic estimate for the Bernoulli and Euler numbers.
Canad. Math. Bull. 20 (1), pp. 109–111.
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Numerical Evaluation of Special Functions.
In Mathematics of Computation 1943–1993: A Half-Century of
Computational Mathematics (Vancouver, BC, 1993),
Proc. Sympos. Appl. Math., Vol. 48, pp. 79–125.
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6: 26.14 Permutations: Order Notation
7: Bibliography K
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Special Functions and Perturbations of Black Holes.
In Special Functions (Hong Kong, 1999),
pp. 140–151.
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Special functions and the Bieberbach conjecture.
Amer. Math. Monthly 95 (8), pp. 689–696.
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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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Two-variable Analogues of the Classical Orthogonal Polynomials.
In Theory and Application of Special Functions, R. A. Askey (Ed.),
pp. 435–495.
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