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


SUBJECT

  1. Mathematics
  2. Topological groups
  3. Lie groups
  4. Functions of real variables
  5. Probabilities
  6. Physics
  7. Applied mathematics
  8. Engineering mathematics
  9. Mathematics
  10. Topological Groups
  11. Lie Groups
  12. Real Functions
  13. Probability Theory and Stochastic Processes
  14. Appl.Mathematics/Computational Methods of Engineering
  15. Mathematical Methods in Physics
  16. Numerical and Computational Physics