Tables of Fourier Transforms and Fourier Transforms of Distributions

Inhaltsverzeichnis

• I. Fourier Cosine Transforms (Tables I).
• 1.1 Algebraic Functions.
• 1.2 Arbitrary Powers.
• 1.3 Exponential Functions.
• 1.4 Logarithmic Functions.
• 1.5 Trigonometric Functions.
• 1.6 Inverse Trigonometric Functions.
• 1.7 Hyperbolic Functions.
• 1.8 Orthogonal Polynomials.
• 1.9 Gamma- and Related Functions.
• 1.10 The Error- and the Fresnel Integrals.
• 1.11 The Exponential- and Related Integrals.
• 1.12 Legendre Functions.
• 1.13 Bessel Functions of Arguments x, x2 and 1/x.
• 1.14 Bessel Functions of Argument (ax2 + bx + c)1/2.
• 1.15 Bessel Functions of Trigonometric and Hyperbolic Arguments.
• 1.16 Bessel Functions of Variable Order.
• 1.17 Modified Bessel Functions of Arguments x, x2 and 1/x.
• 1.18 Modified Bessel Functions of Argument (ax2 + bx + c)1/2.
• 1.19 Modified Bessel Functions of Trigonometric and Hyperbolic Arguments.
• 1.20 Modified Bessel Functions of Variable Order.
• 1.21 Functions Related to Bessel Functions.
• 1.22 Parabolic Cylinder- and Whittaker Functions.
• 1.23 Elliptic Integrals.
• II. Fourier Sine Transforms (Tables II).
• 2.1 Algebraic Functions.
• 2.2 Arbitrary Powers.
• 2.3 Exponential Functions.
• 2.4 Logarithmic Functions.
• 2.5 Trigonometric Functions.
• 2.6 Inverse Trigonometric Functions.
• 2.7 Hyperbolic Functions.
• 2.8 Orthogonal Polynomials.
• 2.9 Gamma- and Related Functions.
• 2.10 The Error- and the Fresnel Integrals.
• 2.11 The Exponential- and Related Integrals.
• 2.12 Legendre Functions.
• 2.13 Bessel Functions of Arguments x, x2 and 1/x.
• 2.14 Bessel Functions of Argument (ax2 + bx + c)1/2.
• 2.15 Bessel Functions of Trigonometric and Hyperbolic Arguments.
• 2.16 Bessel Functions of Variable Order.
• 2.17 Modified Bessel Functions of Arguments x, x2 and 1/x.
• 2.18 Modified Bessel Functions of Argument (ax2 + bx + c)1/2.
• 2.19 Modified Bessel Functions of Trigonometric and Hyperbolic Arguments.
• 2.20 Modified Bessel Functions of Variable Order.
• 2.21 Functions Related to Bessel Functions.
• 2.22 Parabolic Cylinder- and Whittaker Functions.
• 2.23 Elliptic Integrals.
• III. Exponential Fourier Transforms (Tables III).
• IV. Fourier Transforms of Distributions (Tables IV and V).
• List of Functions.