The dynamic dictionary of mathematical functions (DDMF)
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
Journal of Computational and Applied Mathematics
A numerical methodology for the Painlevé equations
Journal of Computational Physics
Special values of generalized log-sine integrals
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Full length article: Computation of equilibrium measures
Journal of Approximation Theory
Algorithm 914: Parabolic cylinder function W(a, x) and its derivative
ACM Transactions on Mathematical Software (TOMS)
Validated computation of certain hypergeometric functions
ACM Transactions on Mathematical Software (TOMS)
ICQT'11 Proceedings of the 7th international conference on Internet charging and QoS technologies: economics of converged, internet-based networks
On Moduli of Rings and Quadrilaterals: Algorithms and Experiments
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
Full length article: Differentiation by integration using orthogonal polynomials, a survey
Journal of Approximation Theory
Bounds for complete elliptic integrals of the second kind with applications
Computers & Mathematics with Applications
Journal of Approximation Theory
Mathieu functions for purely imaginary parameters
Journal of Computational and Applied Mathematics
Numerical inversion of a general incomplete elliptic integral
Journal of Computational and Applied Mathematics
Journal of Combinatorial Theory Series A
Parallel computation of satellite orbit acceleration
Computers & Geosciences
Full length article: The third Appell function for one large variable
Journal of Approximation Theory
A Colonel Blotto Gladiator Game
Mathematics of Operations Research
Algorithm 926: Incomplete Gamma Functions with Negative Arguments
ACM Transactions on Mathematical Software (TOMS)
Precise and fast computation of Lambert W-functions without transcendental function evaluations
Journal of Computational and Applied Mathematics
Rational Chebyshev series for the Thomas-Fermi function: Endpoint singularities and spectral methods
Journal of Computational and Applied Mathematics
Full length article: Turán type inequalities for q-hypergeometric functions
Journal of Approximation Theory
Mahler measures, short walks and log-sine integrals
Theoretical Computer Science
Numerical computation of inverse complete elliptic integrals of first and second kinds
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Wireless Personal Communications: An International Journal
Algorithm 935: IIPBF, a MATLAB toolbox for infinite integral of products of two Bessel functions
ACM Transactions on Mathematical Software (TOMS)
Quadrature by expansion: A new method for the evaluation of layer potentials
Journal of Computational Physics
Understanding branch cuts of expressions
CICM'13 Proceedings of the 2013 international conference on Intelligent Computer Mathematics
Three years of DLMF: web, math and search
CICM'13 Proceedings of the 2013 international conference on Intelligent Computer Mathematics
Scaled control in the QED regime
Performance Evaluation
Non-D-finite excursions in the quarter plane
Journal of Combinatorial Theory Series A
The Nonconvergence of $$h$$h-Refinement in Prolate Elements
Journal of Scientific Computing
Fast matrix decomposition in F2
Journal of Computational and Applied Mathematics
Full length article: Asymptotics of the partition function of a Laguerre-type random matrix model
Journal of Approximation Theory
Non-existence of finite-time stable equilibria in fractional-order nonlinear systems
Automatica (Journal of IFAC)
Full length article: Weierstrass quasi-interpolants
Journal of Approximation Theory
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Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. These functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are performed. They also crop up in statistics, financial models, and economic analysis. Using them effectively requires practitioners to have ready access to a reliable collection of their properties. This handbook results from a 10-year project conducted by the National Institute of Standards and Technology with an international group of expert authors and validators. Printed in full color, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun. Included with every copy of the book is a CD with a searchable PDF of each chapter.