Author | Oberhettinger, Fritz. author |
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Title | Tables of Fourier Transforms and Fourier Transforms of Distributions [electronic resource] / by Fritz Oberhettinger |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1990 |
Connect to | http://dx.doi.org/10.1007/978-3-642-74349-8 |
Descript | VIII, 259 p. online resource |
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