Finite difference (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Finite difference" in English language version.

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6doi.org

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archive.org

Paul Wilmott; Sam Howison; Jeff Dewynne (1995). The Mathematics of Financial Derivatives: A Student Introduction. Cambridge University Press. p. 137. ISBN 978-0-521-49789-3.
Fraser, Duncan C. (January 1, 1909). "On the Graphic Delineation of Interpolation Formulæ". Journal of the Institute of Actuaries. 43 (2): 235–241. doi:10.1017/S002026810002494X. Retrieved April 17, 2017.
Newton, Isaac, (1687). Principia, Book III, Lemma V, Case 1
Boole, George (1872). A Treatise on the Calculus of Finite Differences (2nd ed.). Macmillan and Company – via Internet Archive. Also, a Dover reprint edition, 1960.

arxiv.org

Iaroslav V. Blagouchine (2018). "Three notes on Ser's and Hasse's representations for the zeta-functions" (PDF). Integers (Electronic Journal of Combinatorial Number Theory). 18A: 1–45. arXiv:1606.02044. doi:10.5281/zenodo.10581385.
König, Jürgen; Hucht, Fred (2021). "Newton series expansion of bosonic operator functions". SciPost Physics. 10 (1): 007. arXiv:2008.11139. Bibcode:2021ScPP...10....7K. doi:10.21468/SciPostPhys.10.1.007. S2CID 221293056.
Zachos, C. (2008). "Umbral deformations on discrete space-time". International Journal of Modern Physics A. 23 (13): 200–214. arXiv:0710.2306. Bibcode:2008IJMPA..23.2005Z. doi:10.1142/S0217751X08040548. S2CID 16797959.
Curtright, T. L.; Zachos, C. K. (2013). "Umbral Vade Mecum". Frontiers in Physics. 1: 15. arXiv:1304.0429. Bibcode:2013FrP.....1...15C. doi:10.3389/fphy.2013.00015. S2CID 14106142.

books.google.com

Jordan, Charles (1965) [1939]. Calculus of Finite Differences. Chelsea Publishing. ISBN 978-0-8284-0033-6 – via Google books.

colgate.edu

math.colgate.edu

Iaroslav V. Blagouchine (2018). "Three notes on Ser's and Hasse's representations for the zeta-functions" (PDF). Integers (Electronic Journal of Combinatorial Number Theory). 18A: 1–45. arXiv:1606.02044. doi:10.5281/zenodo.10581385.

divisbyzero.com

"Finite differences of polynomials". February 13, 2018.

doi.org

Fraser, Duncan C. (January 1, 1909). "On the Graphic Delineation of Interpolation Formulæ". Journal of the Institute of Actuaries. 43 (2): 235–241. doi:10.1017/S002026810002494X. Retrieved April 17, 2017.
Iaroslav V. Blagouchine (2018). "Three notes on Ser's and Hasse's representations for the zeta-functions" (PDF). Integers (Electronic Journal of Combinatorial Number Theory). 18A: 1–45. arXiv:1606.02044. doi:10.5281/zenodo.10581385.
König, Jürgen; Hucht, Fred (2021). "Newton series expansion of bosonic operator functions". SciPost Physics. 10 (1): 007. arXiv:2008.11139. Bibcode:2021ScPP...10....7K. doi:10.21468/SciPostPhys.10.1.007. S2CID 221293056.
Zachos, C. (2008). "Umbral deformations on discrete space-time". International Journal of Modern Physics A. 23 (13): 200–214. arXiv:0710.2306. Bibcode:2008IJMPA..23.2005Z. doi:10.1142/S0217751X08040548. S2CID 16797959.
Curtright, T. L.; Zachos, C. K. (2013). "Umbral Vade Mecum". Frontiers in Physics. 1: 15. arXiv:1304.0429. Bibcode:2013FrP.....1...15C. doi:10.3389/fphy.2013.00015. S2CID 14106142.
Flajolet, Philippe; Sedgewick, Robert (1995). "Mellin transforms and asymptotics: Finite differences and Rice's integrals" (PDF). Theoretical Computer Science. 144 (1–2): 101–124. doi:10.1016/0304-3975(94)00281-M.

harvard.edu

ui.adsabs.harvard.edu

König, Jürgen; Hucht, Fred (2021). "Newton series expansion of bosonic operator functions". SciPost Physics. 10 (1): 007. arXiv:2008.11139. Bibcode:2021ScPP...10....7K. doi:10.21468/SciPostPhys.10.1.007. S2CID 221293056.
Zachos, C. (2008). "Umbral deformations on discrete space-time". International Journal of Modern Physics A. 23 (13): 200–214. arXiv:0710.2306. Bibcode:2008IJMPA..23.2005Z. doi:10.1142/S0217751X08040548. S2CID 16797959.
Curtright, T. L.; Zachos, C. K. (2013). "Umbral Vade Mecum". Frontiers in Physics. 1: 15. arXiv:1304.0429. Bibcode:2013FrP.....1...15C. doi:10.3389/fphy.2013.00015. S2CID 14106142.

inria.fr

algo.inria.fr

Flajolet, Philippe; Sedgewick, Robert (1995). "Mellin transforms and asymptotics: Finite differences and Rice's integrals" (PDF). Theoretical Computer Science. 144 (1–2): 101–124. doi:10.1016/0304-3975(94)00281-M.

mit.edu

web.media.mit.edu

Finite Difference Coefficients Calculator

semanticscholar.org

api.semanticscholar.org

König, Jürgen; Hucht, Fred (2021). "Newton series expansion of bosonic operator functions". SciPost Physics. 10 (1): 007. arXiv:2008.11139. Bibcode:2021ScPP...10....7K. doi:10.21468/SciPostPhys.10.1.007. S2CID 221293056.
Zachos, C. (2008). "Umbral deformations on discrete space-time". International Journal of Modern Physics A. 23 (13): 200–214. arXiv:0710.2306. Bibcode:2008IJMPA..23.2005Z. doi:10.1142/S0217751X08040548. S2CID 16797959.
Curtright, T. L.; Zachos, C. K. (2013). "Umbral Vade Mecum". Frontiers in Physics. 1: 15. arXiv:1304.0429. Bibcode:2013FrP.....1...15C. doi:10.3389/fphy.2013.00015. S2CID 14106142.

wikimedia.org

commons.wikimedia.org

notes

youtube.com

Burkard Polster/Mathologer (2021). " Why don't they teach Newton's calculus of 'What comes next?' " on YouTube