From: kovarik@mcmail.cis.McMaster.CA (Zdislav V. Kovarik) Subject: Re: Laplace Transform Date: 19 Feb 1999 13:58:36 -0500 Newsgroups: sci.math.num-analysis Keywords: Pointers to transform data In article <7ak3si$rn0$1@nnrp1.dejanews.com>, wrote: >What is the inverse Laplace transform of > >1/sqrt(s+a) ? Find the (direct) Laplace transform of C * exp(b*t) * t^(r-1) and match the parameters C, b and r. The definition of the Gamma function is Gamma(r) = integral[0 to infinity] exp(-u) * u^(r-1) du and Gamma(1/2) = pi^(1/2). >Also, can anyone recommend a reference with a very thorough table of transform >pairs? The Transforms and Applications Handbook, ed. by Alexander D. Poularikas, CRC Press and IEEE Press 1996, ISBN 0-8493-8342-0 Warning: It contains more than ten other transforms, including wavelets, a lot of theory, applications and even proofs. My other references are Russian, old, thorough, and out of print. Good luck, ZVK(Slavek). ============================================================================== From: Matthias Ehrhardt Subject: Re: Laplace Transform Date: Thu, 25 Feb 1999 12:04:20 +0100 Newsgroups: sci.math.num-analysis To: tomirvine@aol.com tomirvine@aol.com wrote: > > What is the inverse Laplace transform of > > 1/sqrt(s+a) ? > > Also, can anyone recommend a reference with a very thorough table of transform > pairs? > > Thank you. > > Tom Irvine > tomirvine@aol.com > > -----------== Posted via Deja News, The Discussion Network ==---------- > http://www.dejanews.com/ Search, Read, Discuss, or Start Your Own Bateman Manuscript Project, Tables of Integral Transforms, vol.~1, McGraw--Hill, 1954. G.Doetsch, Einf"uhrung in die Theorie und Anwendung der Laplace-Transformation, Birkh"auser Verlag, Basel, 1958. - ------------------------------------------------------------------------- Matthias Ehrhardt e-mail: ehrhardt@math.tu-berlin.de Departamento de Matematica Aplicada phone: +34 958 249 059 Universidad de Granada fax: +34 958 248 596 18071 Granada Espaņa -------------------------------------------------------------------------