Tables of Fourier Transforms and Fourier Transforms of Distributions
Published on 18. April 1990
Book
Paperback/Softback
VIII, 259 pages
978-3-540-50630-0 (ISBN)
Description
This book presents a comprehensive collection of integrals of the Fourier transformation type. It should be useful for everyone concerned with Fourier transform methods, which have found a great variety of applications in the natural sciences.
More details
Edition
Softcover reprint of the original 1st ed. 1990
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 259 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
417 gr
ISBN-13
978-3-540-50630-0 (9783540506300)
DOI
10.1007/978-3-642-74349-8
Schweitzer Classification
Content
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.