List of Tables
- 1 Algebraic and Analytic Methods
- 2 Asymptotic Approximations
-
3 Numerical Methods
- 3.5.1 Nodes and weights for the 5-point…
- 3.5.2 Nodes and weights for the 10-point…
- 3.5.3 Nodes and weights for the 20-point…
- 3.5.4 Nodes and weights for the 40-point…
- 3.5.5 Nodes and weights for the 80-point…
- 3.5.6 Nodes and weights for the 5-point…
- 3.5.7 Nodes and weights for the 10-point…
- 3.5.8 Nodes and weights for the 15-point…
- 3.5.9 Nodes and weights for the 20-point…
- 3.5.10 Nodes and weights for the 5-point…
- 3.5.11 Nodes and weights for the 10-point…
- 3.5.12 Nodes and weights for the 15-point…
- 3.5.13 Nodes and weights for the 20-point…
- 3.5.14 Nodes and weights for the 5-point…
- 3.5.15 Nodes and weights for the 10-point…
- 3.5.16 Nodes and weights for the 15-point…
- 3.5.17 Nodes and weights for the 20-point…
- 3.5.18 Nodes and weights for the 5-point…
- 3.5.19 Laplace transform inversion.
- 3.5.20 Composite trapezoidal rule for the integral…
- 3.5.21 Cubature formulas for disk and square.…
- 3.6.1 Weber function computed by Olver’s…
- 3.8.1 Newton’s rule for .
- 3.8.2 Newton’s rule for .
- 3.8.3 Bairstow’s method for factoring .
- 3.9.1 Shanks’ transformation for .
- 3.10.1 Quotient-difference scheme.
- 3.11.1 Coefficients , for…
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4 Elementary Functions
- 4.16.1 Signs of the trigonometric functions in…
- 4.16.2 Trigonometric functions: quarter periods and change…
- 4.16.3 Trigonometric functions: interrelations.
- 4.17.1 Trigonometric functions: values at multiples of…
- 4.23.1 Inverse trigonometric functions.
- 4.30.1 Hyperbolic functions: interrelations.
- 4.31.1 Hyperbolic functions: values at multiples of…
- 5 Gamma Function
- 7 Error Functions, Dawson’s and Fresnel Integrals
- 8 Incomplete Gamma and Related Functions
- 9 Airy and Related Functions
- 10 Bessel Functions
- 15 Hypergeometric Function
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18 Orthogonal Polynomials
- 18.3.1 Orthogonality properties for classical OP’s.
- 18.5.1 Classical OP’s: Rodrigues formulas (18.5.5).
- 18.6.1 Classical OP’s: symmetry and special values.…
- 18.8.1 Classical OP’s: differential equations .
- 18.9.1 Classical OP’s: recurrence relations (18.9.1).
- 18.10.1 Classical OP’s: contour integral representations (…
- 18.19.1 Orthogonality properties for Hahn, Krawtchouk, Meixner,…
- 18.19.2 Hahn, Krawtchouk, Meixner, and Charlier OP’s:…
- 18.20.1 Krawtchouk, Meixner, and Charlier OP’s: Rodrigues…
- 18.22.1 Recurrence relations (18.22.2) for Krawtchouk, Meixner,…
- 18.22.2 Difference equations (18.22.12) for Krawtchouk, Meixner,…
- 18.25.1 Wilson class OP’s: transformations of variable,…
- 18.25.2 Wilson class OP’s: leading coefficients.
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22 Jacobian Elliptic Functions
- 22.4.1 Periods and poles of Jacobian elliptic…
- 22.4.2 Periods and zeros of Jacobian elliptic…
- 22.4.3 Half- or quarter-period shifts of variable…
- 22.5.1 Jacobian elliptic function values
- 22.5.2 Other special values of Jacobian elliptic…
- 22.5.3 Limiting forms of Jacobian elliptic functions…
- 22.5.4 Limiting forms of Jacobian elliptic functions…
- 22.6.1 Jacobi’s imaginary transformation of Jacobian elliptic…
- 22.13.1 Derivatives of Jacobian elliptic functions with…
- 24 Bernoulli and Euler Polynomials
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26 Combinatorial Analysis
- 26.2.1 Partitions .
- 26.3.1 Binomial coefficients .
- 26.3.2 Binomial coefficients for lattice paths.…
- 26.4.1 Multinomials and partitions.
- 26.5.1 Catalan numbers.
- 26.6.1 Delannoy numbers .
- 26.6.2 Motzkin numbers .
- 26.6.3 Narayana numbers .
- 26.6.4 Schröder numbers .
- 26.7.1 Bell numbers.
- 26.8.1 Stirling numbers of the first kind…
- 26.8.2 Stirling numbers of the second kind…
- 26.9.1 Partitions .
- 26.10.1 Partitions restricted by difference conditions.
- 26.12.1 Plane partitions.
- 26.14.1 Eulerian numbers .
- 26.17.1 The twelvefold way.
- 27 Functions of Number Theory
- 28 Mathieu Functions and Hill’s Equation
- 29 Lamé Functions
- 36 Integrals with Coalescing Saddles
- 1 Query Examples
- 2 Wildcard Examples
- 3 A sample of recognized symbols
- 4 Font and Accent Examples