NIST Handbook on Mathematical Functions

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Cambridge, Cambridge University Press, 2010. — 967 p.
Справочное пособие по методам вычисления различных математических функций, включающее как описание общих методов, так и рекомендации по расчётам различных классов функций, включая матричные.
Для студентов математических и программистских специальностей и специалистов соответствующего профиля.

Contents

Algebraic and analytic methods
Asymptotic approximations
Numerical methods
Elementary functions
Gamma function
Exponential, logarithmic, sine and cosine integrals
Error functions, Dawson's and Fresnel integrals
Incomplete gamma and related functions
Airy and related functions
Bessel functions
Struve and related functions
Parabolic cylinder functions
Confluent hypergeometric functions
Legendre and related functions
Hypergeometric function
Generalized hypergeometric functions and Meijer G-function
q-Hypergeometric and related functions
Orthogonal polynomials
Elliptic integrals
Theta functions
Multidimensional theta functions
Jacobian elliptic functions
Weierstrass elliptic and modular functions
Bernoulli and Euler polynomials
Zeta and related functions
Combinatorial analysis
Functions of number theory
Mathieu functions and Hill's equation
Lamé functions
Spheroidal wave functions
Heun functions
Painlevé transcendents
Coulomb functions
3j,6j,9j symbols
Functions of matrix argument
Integrals with coalescing saddles

Author(s): Oliver F.J.W. (Ed.)

Language: English
Commentary: 1188880
Tags: Математика;Вычислительная математика