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NIST handbook of mathematical functions
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NIST handbook of mathematical functions

Author: Frank W J Olver; National Institute of Standards and Technology (U.S.); et al
Publisher: Cambridge ; New York : Cambridge University Press : NIST, 2010.
Edition/Format:   Book : EnglishView all editions and formats
Summary:
"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.  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Frank W J Olver; National Institute of Standards and Technology (U.S.); et al
ISBN: 9780521192255 0521192250 9780521140638 0521140633
OCLC Number: 502037224
Description: xv, 951 p. : ill. (chiefly col.) ; 28 cm. + 1 CD-ROM (4 3/4 in.)
Contents: Algebraic and analytic methods / R. Roy ... [et al.] --
Asymptotic approximations / F.W.J. Olver, R. Wong --
Numerical methods / N.M. Temme --
Elementary functions / R. Roy, F.W.J. Olver --
Gamma function / R.A. Askey, R. Roy --
Exponential, logarithmic, sine, and cosine integrals / N.M. Temme --
Error functions, Dawson's and Fresnel integrals / N.M. Temme --
Incomplete gamma and related functions / R.B. Paris --
Airy and related functions / F.W.J. Olver --
Bessel functions / F.W.J. Olver, L.C. Maximon --
Struve and related functions / R.B. Paris --
Parabolic cylinder functions / N.M. Temme --
Confluent hypergeometric functions / A.B. Olde Daalhuis --
Legendre and related functions / T.M. Dunster --
Hypergeometric function / A.B. Olde Daalhuis --
Generalized hypergeometric functions and Meijer G-function / R.A. Askey, A.B. Olde Daalhuis --
q-hypergeometric and related functions / G.E. Andrews --
Orthogonal polynomials / T.H. Koornwinder ... [et al.] --
Elliptic integrals / B.C. Carlson --
Theta functions / W.P. Reinhardt, P.L. Walker --
Multidimensional theta functions / B. Deconinck --
Jacobian elliptic functions / W.P. Reinhardt, P.L. Walker --
Weierstrass elliptic and modular functions / W.P. Reinhardt, P.L. Walker --
Bernoulli and Euler polynomials / K. Dilcher --
Zeta and related functions / T.M. Apostol --
Combinatorial analysis / D.M. Bressoud --
Functions of number theory / T.M. Apostol --
Mathieu functions and Hill's equation / G. Wolf --
Lamé functions / H. Volkmer --
Spheroidal wave functions / H. Volkmer --
Heun functions / B.D. Sleeman, V.B. Kuznetsov --
Painlevé transcendents / P.A. Clarkson --
Coulomb functions / I.J. Thompson --
3j, 6j, 9j symbols / L.C. Maximon --
Functions of matrix argument / D. St.P. Richards --
Integrals with coalescing saddles / M.V. Berry, C.J. Howls.
Responsibility: [edited by] Frank W.J. Olver ... [et al.].

Abstract:

The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.  Read more...
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'The NIST Handbook is indeed a monumental achievement, and the many, many individuals who participated in its creation and dissemination are to be congratulated and thanked.' SIAM News 'The National Read more...

 
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