Handbook of Mathematical Functions with Formulas, Graphs,

By Mathemalical Tables, M. Abramowitz, I. Stegun, A. G. Greenhill. 1971

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Pure Mathematics

Citations in the corpus

Are adversarial examples inevitable? (2018, methodology): “To obtain the simpliﬁed formula in the theorem, we use the identity which is valid for x > 0 , and can be found in Abramowitz & Stegun (1965).”
Particle creation in expanding universes (2017, background): “Using the linear properties of the hypergeometric functions described in [6], we can find u k (η, x) = αku out k (η, x) + βku out∗ −k (η, x), (22) with”
Wage bargaining with on-the-job search: Theory and evidence (2006, unknown): “"6See Abramowitz and Stegun (1972).”
Pricing discretely monitored Asian options under Levy processes (2008, background): “The rst column selects the model, the second selects the number of monitoring dates (12, 50, 250, 1000, 10000, 1), the third the CPU time and the remaining the Geometric Asian option price for di¤erent strikes (90, 100 and 110).”
On the Laplace Transform of the Lognormal Distribution (2014, background): “Abramowitz and Stegun 1964). We found that the approximation (5.1) of Barakat (1976) is sharp for small values of σ 2, but rapidly deteriorates for large values of σ 2 in regions away from the origin.”
Fast construction of good lattice rules (2007, methodology): “16 omega, gamma, beta, CBC_optimal, verbose-1); ! ; 18 ! ; ! ; 20 n = p^m2; % total points n = p2 22 p == 2, g = 5; & g = generator(p*p); ! ; % pseudo when p = 2 phip0 = 1; phip = " (m2, 1); % calculate φ(p) 24 phip(1) = p - 1; m=2:m2, phip(m) = p*phip(m-1); ! ; phip(phip >= 2) = phip(phip >= 2) / 2”
Conforming polygonal finite elements (2004, background): “Cubature rules on a regular hexagon are available [45], and since the canonical element is a regular n-gon such rules can prove to be useful.”
Adaptive Bayesian density estimation with location-scale mixtures (2010, methodology): “The following asymptotic formula for the Gamma function can be found in many references, see for example Abramowitz and Stegun [1].”
Meta‐regression approximations to reduce publication selection bias (2014, background): “Some of these approximations are in fact power series (Abramowitz and Stegun, 1964).”