Table Of Laplace Transforms

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Tables Of Laplace Transforms

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Author : F. Oberhettinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Tables Of Laplace Transforms written by F. Oberhettinger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 (see References). Special consideration is given to results involving higher functions as integrand and it is believed that a substantial amount of them is presented here for the first time. Greek letters denote complex parameters within the given range of validity. Latin letters denote (unless otherwise stated) real positive parameters and a possible extension to complex values by analytic continuation will often pose no serious problem. The authors are indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manu script. Oregon State University Corvallis, Oregon Eastern Michigan University Ypsilanti, Michigan The Authors Contents Part I. Laplace Transforms In troduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Algebraic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 3 Powers of Arbitrary Order. . . . . . . . . . . . . . . . . . . . . . . . 21 1. 4 Sectionally Rational- and Rows of Delta Functions 28 1. 5 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1. 6 Logarithmic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 1. 7 Trigonometric Functions. . . . . . . . . . . . . . . . . . . . . . . . . . 54 1. 8 Inverse Trigonometric Functions. . . . . . . . . . . . . . . . . . 81 1. 9 Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 1. 10 Inverse Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . 99 1. 11 Orthogonal Polynomials . . . . . . . •. . . . . . . . . . . . . . . . . . . 103 1. 12 Legendre Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 1. 13 Bessel Functions of Order Zero and Unity . . . . . . . . . 119 1. 14 Bessel Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 1. 15 Modified Bessel Functions . . . . . . . . . . . . . . . . . . . . . . . .

Table Of Laplace Transforms

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Author : George E. Roberts
language : en
Publisher:
Release Date : 1968

Table Of Laplace Transforms written by George E. Roberts and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Laplace transformation categories.

A New Table Of Laplace Transformation Pairs

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Author : Ezra C. Levy
language : en
Publisher:
Release Date : 1963

A New Table Of Laplace Transformation Pairs written by Ezra C. Levy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Laplace transformation categories.

Table Of Laplace Transforms

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Author :
language : en
Publisher:
Release Date : 1973

Table Of Laplace Transforms written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Laplace transformation categories.

Table Of Laplace Transforms Revised Edition

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Author : E. C. Levy
language : en
Publisher:
Release Date : 1953

Table Of Laplace Transforms Revised Edition written by E. C. Levy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.

The report contains mathematical tables of Laplace transformations.

Table Of Laplace Transforms

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Author : Denny D. Pidhayny
language : en
Publisher:
Release Date : 1960

Table Of Laplace Transforms written by Denny D. Pidhayny and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Laplace transformation categories.

Handbook Of Laplace Transformation

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Author : Floyd E. Nixon
language : en
Publisher:
Release Date : 1965

Handbook Of Laplace Transformation written by Floyd E. Nixon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Laplace transformation categories.

Tables Of Laplace Transforms

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Author : Bertrand Julian Starkey
language : en
Publisher:
Release Date : 1957

Tables Of Laplace Transforms written by Bertrand Julian Starkey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.

Guide To The Applications Of Laplace Transform

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Author : Gustav Doetsch
language : en
Publisher:
Release Date : 1961

Guide To The Applications Of Laplace Transform written by Gustav Doetsch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Laplace transformation categories.

Integrals And Series Direct Laplace Transforms

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Author : Anatoliĭ Platonovich Prudnikov
language : en
Publisher: CRC Press
Release Date : 1986

Integrals And Series Direct Laplace Transforms written by Anatoliĭ Platonovich Prudnikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Volumes 4 and 5 of the extensive series Integrals and Series are devoted to tables of LaplaceTransforms. In these companion volumes the authors have collected data scatteredthroughout the literature, and have augmented this material with many unpublished resultsobtained in their own research.Volume 4 contains tables of direct Laplace transforms, a number of which are expressed interms of the Meijer G-function. When combined with the table of special cases, theseformulas can be used to obtain Laplace transforms of numerous elementary and specialfunctions of mathematical physics.Volume 5 offers tables of inversion formulas for the Laplace transformation and includestables of factorization and inversion of various integral transforms.