Laplace transform (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Laplace transform" in English language version.

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Feller 1971, §XIII.1. Feller, William (1971), An introduction to probability theory and its applications. Vol. II., Second edition, New York: John Wiley & Sons, MR 0270403
Widder 1941, Chapter II, §1 Widder, David Vernon (1941), The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, MR 0005923
Widder 1941, Chapter VI, §2 Widder, David Vernon (1941), The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, MR 0005923
Feller 1971, p. 432 Feller, William (1971), An introduction to probability theory and its applications. Vol. II., Second edition, New York: John Wiley & Sons, MR 0270403

archive.org

"Des Fonctions génératrices" [On generating functions], Théorie analytique des Probabilités [Analytical Probability Theory] (in French) (2nd ed.), Paris, 1814, chap.I sect.2-20
RK Pathria; Paul Beal (1996). Statistical mechanics (2nd ed.). Butterworth-Heinemann. p. 56. ISBN 9780750624695.

books.google.com

Abel, Niels H. (1820), "Sur les fonctions génératrices et leurs déterminantes", Œuvres Complètes (in French), vol. II (published 1839), pp. 77–88 1881 edition
Euler 1744, Euler 1753, Euler 1769 Euler, L. (1744), "De constructione aequationum" [The Construction of Equations], Opera Omnia, 1st series (in Latin), 22: 150–161 Euler, L. (1753), "Methodus aequationes differentiales" [A Method for Solving Differential Equations], Opera Omnia, 1st series (in Latin), 22: 181–213 Euler, Leonhard (1769), Institutiones calculi integralis [Institutions of Integral Calculus] (in Latin), vol. II, Paris: Petropoli, ch. 3–5, pp. 57–153
Heaviside, Oliver (January 2008), "The solution of definite integrals by differential transformation", Electromagnetic Theory, vol. III, London, section 526, ISBN 9781605206189{{citation}}: CS1 maint: location missing publisher (link)
Mikusiński, Jan (14 July 2014). Operational Calculus. Elsevier. ISBN 9781483278933.

doi.org

Lynn, Paul A. (1986). "The Laplace Transform and the z-transform". Electronic Signals and Systems. London: Macmillan Education UK. pp. 225–272. doi:10.1007/978-1-349-18461-3_6. ISBN 978-0-333-39164-8. Laplace Transform and the z-transform are closely related to the Fourier Transform. Laplace Transform is somewhat more general in scope than the Fourier Transform, and is widely used by engineers for describing continuous circuits and systems, including automatic control systems.
Lerch, Mathias (1903), "Sur un point de la théorie des fonctions génératrices d'Abel" [Proof of the inversion formula], Acta Mathematica (in French), 27: 339–351, doi:10.1007/BF02421315, hdl:10338.dmlcz/501554
Bromwich, Thomas J. (1916), "Normal coordinates in dynamical systems", Proceedings of the London Mathematical Society, 15: 401–448, doi:10.1112/plms/s2-15.1.401
Salem, M.; Seaton, M. J. (1974), "I. Continuum spectra and brightness contours", Monthly Notices of the Royal Astronomical Society, 167: 493–510, Bibcode:1974MNRAS.167..493S, doi:10.1093/mnras/167.3.493, and
Salem, M. (1974), "II. Three-dimensional models", Monthly Notices of the Royal Astronomical Society, 167: 511–516, Bibcode:1974MNRAS.167..511S, doi:10.1093/mnras/167.3.511
S. Ikehara (1931), "An extension of Landau's theorem in the analytic theory of numbers", Journal of Mathematics and Physics of the Massachusetts Institute of Technology, 10 (1–4): 1–12, doi:10.1002/sapm19311011, Zbl 0001.12902

ghostarchive.org

Archived at Ghostarchive and the Wayback Machine: Mattuck, Arthur (7 November 2008). "Where the Laplace Transform comes from". YouTube.

handle.net

hdl.handle.net

Lerch, Mathias (1903), "Sur un point de la théorie des fonctions génératrices d'Abel" [Proof of the inversion formula], Acta Mathematica (in French), 27: 339–351, doi:10.1007/BF02421315, hdl:10338.dmlcz/501554

harvard.edu

ui.adsabs.harvard.edu

Salem, M.; Seaton, M. J. (1974), "I. Continuum spectra and brightness contours", Monthly Notices of the Royal Astronomical Society, 167: 493–510, Bibcode:1974MNRAS.167..493S, doi:10.1093/mnras/167.3.493, and
Salem, M. (1974), "II. Three-dimensional models", Monthly Notices of the Royal Astronomical Society, 167: 511–516, Bibcode:1974MNRAS.167..511S, doi:10.1093/mnras/167.3.511

lamar.edu

tutorial.math.lamar.edu

"Differential Equations – Laplace Transforms". Pauls Online Math Notes. Retrieved 2020-08-08.

web.archive.org

Archived at Ghostarchive and the Wayback Machine: Mattuck, Arthur (7 November 2008). "Where the Laplace Transform comes from". YouTube.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Laplace Transform". Wolfram MathWorld. Retrieved 2020-08-08.
http://mathworld.wolfram.com/LaplaceTransform.html – Wolfram Mathword provides case for complex $q$

worldcat.org

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Jaynes, E. T. (Edwin T.) (2003). Probability theory : the logic of science. Bretthorst, G. Larry. Cambridge, UK: Cambridge University Press. ISBN 0511065892. OCLC 57254076.

youtube.com

Archived at Ghostarchive and the Wayback Machine: Mattuck, Arthur (7 November 2008). "Where the Laplace Transform comes from". YouTube.

zbmath.org

S. Ikehara (1931), "An extension of Landau's theorem in the analytic theory of numbers", Journal of Mathematics and Physics of the Massachusetts Institute of Technology, 10 (1–4): 1–12, doi:10.1002/sapm19311011, Zbl 0001.12902

zenodo.org

Bromwich, Thomas J. (1916), "Normal coordinates in dynamical systems", Proceedings of the London Mathematical Society, 15: 401–448, doi:10.1112/plms/s2-15.1.401