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Tables of Laplace Transforms

This material represents a collection of integrals of the Laplace- and inverse Laplace Transform type. The usef- ness of this kind of information as a tool in various branches of Mathematics is firmly established. Previous publications include the contributions by A. Erdelyi and Roberts and Kaufmann...

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Bibliographic Details
Main Authors: Oberhettinger, F., Badii, L. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1973, 1973
Edition:1st ed. 1973
Subjects:
Mathematical Analysis
Analysis
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Laplace Transforms
  • 1.1 General Formulas
  • 1.2 Algebraic Functions
  • 1.3 Powers of Arbitrary Order
  • 1.4 Sectionally Rational- and Rows of Delta Functions
  • 1.5 Exponential Functions
  • 1.6 Logarithmic Functions
  • 1.7 Trigonometric Functions
  • 1.8 Inverse Trigonometric Functions
  • 1.9 Hyperbolic Functions
  • 1.10 Inverse Hyperbolic Functions
  • 1.11 Orthogonal Polynomials
  • 1.12 Legendre Functions
  • 1.13Bessel Functions of Order Zero and Unity
  • 1.14 Bessel Functions
  • 1.15 Modified Bessel Functions
  • 1.16 Functions Related to Bessel Functions and Kelvin Functions
  • 1.17 Whittaker Functions and Special Cases
  • 1.18 Elliptic Functions
  • 1.19 Gauss’ Hypergeometric Function
  • 1.20 Miscellaneous Functions
  • 1.21 Generalized Hypergeometric Functions
  • II. Inverse Laplace Transforms
  • 2.1 General Formulas
  • 2.2 Rational Functions
  • 2.3 Irrational Algebraic Functions
  • 2.4 Powers of Arbitrary Order
  • 2.5 Exponential Functions
  • 2.6 Logarithmic Functions
  • 2.7 Trigonometric- and Inverse Functions
  • 2.8 Hyperbolic- and Inverse Functions
  • 2.9 Orthogonal Polynomials
  • 2.10 Gamma Function and Related Functions
  • 2.11 Legendre Functions
  • 2.12 Bessel Functions
  • 2.13 Modified Bessel Functions
  • 2.14 Functions Related to Bessel Functions and Kelvin Functions
  • 2.15 Special Cases of Whittaker Functions
  • 2.16 Parabolic Cylinder Functions and Whittaker Functions
  • 2.17 Elliptic Integrals and Elliptic Functions
  • 2.18 Gauss’ Hypergeometric Functions
  • 2.19 Generalized Hypergeometric Functions
  • 2.20 Miscellaneous Functions

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