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[资源] Cambridge2010NIST Handbook of Mathematical Functions

Contents
Foreword . . . . . . . . . . . . . . . . . . vii
Preface . . . . . . . . . . . . . . . . . . . ix
Mathematical Introduction . . . . . . . xiii
1 Algebraic and Analytic Methods
R. Roy, F. W. J. Olver, R. A. Askey, R. Wong 1
2 Asymptotic Approximations
F. W. J. Olver, R. Wong . . . . . . . . . . 41
3 Numerical Methods
N. M. Temme . . . . . . . . . . . . . . . . 71
4 Elementary Functions
R. Roy, F. W. J. Olver . . . . . . . . . . . . 103
5 Gamma Function
R. A. Askey, R. Roy . . . . . . . . . . . . . 135
6 Exponential, Logarithmic, Sine, and
Cosine Integrals
N. M. Temme . . . . . . . . . . . . . . . . 149
7 Error Functions, Dawson's and Fresnel
Integrals
N. M. Temme . . . . . . . . . . . . . . . . 159
8 Incomplete Gamma and Related
Functions
R. B. Paris . . . . . . . . . . . . . . . . . . 173
9 Airy and Related Functions
F. W. J. Olver . . . . . . . . . . . . . . . . 193
10 Bessel Functions
F. W. J. Olver, L. C. Maximon . . . . . . . 215
11 Struve and Related Functions
R. B. Paris . . . . . . . . . . . . . . . . . . 287
12 Parabolic Cylinder Functions
N. M. Temme . . . . . . . . . . . . . . . . 303
13 Con
uent Hypergeometric Functions
A. B. Olde Daalhuis . . . . . . . . . . . . . 321
14 Legendre and Related Functions
T. M. Dunster . . . . . . . . . . . . . . . . 351
15 Hypergeometric Function
A. B. Olde Daalhuis . . . . . . . . . . . . . 383
16 Generalized Hypergeometric Functions
and Meijer G-Function
R. A. Askey, A. B. Olde Daalhuis . . . . . . 403
17 q-Hypergeometric and Related Functions
G. E. Andrews . . . . . . . . . . . . . . . . 419
18 Orthogonal Polynomials
T. H. Koornwinder, R. Wong, R. Koekoek,
R. F. Swarttouw . . . . . . . . . . . . . . . 435
19 Elliptic Integrals
B. C. Carlson . . . . . . . . . . . . . . . . 485
20 Theta Functions
W. P. Reinhardt, P. L. Walker . . . . . . . 523
21 Multidimensional Theta Functions
B. Deconinck . . . . . . . . . . . . . . . . 537
22 Jacobian Elliptic Functions
W. P. Reinhardt, P. L. Walker . . . . . . . 549
23 Weierstrass Elliptic and Modular
Functions
W. P. Reinhardt, P. L. Walker . . . . . . . 569
24 Bernoulli and Euler Polynomials
K. Dilcher . . . . . . . . . . . . . . . . . . 587
25 Zeta and Related Functions
T. M. Apostol . . . . . . . . . . . . . . . . 601
26 Combinatorial Analysis
D. M. Bressoud . . . . . . . . . . . . . . . 617
27 Functions of Number Theory
T. M. Apostol . . . . . . . . . . . . . . . . 637
28 Mathieu Functions and Hill's Equation
G. Wolf . . . . . . . . . . . . . . . . . . . 651
29 Lame Functions
H. Volkmer . . . . . . . . . . . . . . . . . . 683
30 Spheroidal Wave Functions
H. Volkmer . . . . . . . . . . . . . . . . . . 697
31 Heun Functions
B. D. Sleeman, V. B. Kuznetsov . . . . . . 709
32 Painleve Transcendents
P. A. Clarkson . . . . . . . . . . . . . . . . 723
33 Coulomb Functions
I. J. Thompson . . . . . . . . . . . . . . . 741
34 3j; 6j; 9j Symbols
L. C. Maximon . . . . . . . . . . . . . . . . 757
35 Functions of Matrix Argument
D. St. P. Richards . . . . . . . . . . . . . . 767
36 Integrals with Coalescing Saddles
M. V. Berry, C. J. Howls . . . . . . . . . . 775
Bibliography . . . . . . . . . . . . . . . . 795
Notations . . . . . . . . . . . . . . . . . 873
Index . . . . . . . . . . . . . . . . . . . . 887
v

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附件 1 : NIST_Handbook_of_Mathematical_Functions_-_Frank_W._J._Olver,_Daniel_W._Lozier,_Ronald_F._Boisvert,_Charles_W._Clark_(Cambridge_University_Press,_2010)(967p).pdf

2015-03-05 12:14:26, 27.8 M