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AuthorOberhettinger, Fritz. author
TitleTables of Fourier Transforms and Fourier Transforms of Distributions [electronic resource] / by Fritz Oberhettinger
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
Connect tohttp://dx.doi.org/10.1007/978-3-642-74349-8
Descript VIII, 259 p. online resource

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


Mathematics Topological groups Lie groups Functions of real variables Probabilities Physics Applied mathematics Engineering mathematics Mathematics Topological Groups Lie Groups Real Functions Probability Theory and Stochastic Processes Appl.Mathematics/Computational Methods of Engineering Mathematical Methods in Physics Numerical and Computational Physics



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