See analytic continuation on Wiktionary
Download JSON data for analytic continuation meaning in All languages combined (4.9kB)
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"text": "1968, [McGraw-Hill], Granino A. Korn, Theresa M. Korn, Mathematical Handbook for Scientists and Engineers, 2000, Dover, Unabridged republication, page 206,\nThe standard method of analytic continuation starts with a function f(z) defined by its power-series expansion (7.5-4) inside some circle |z-a|=r."
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"ref": "2008, Steven G. Krantz, A Guide to Complex Variables, Mathematical Association of America, page 125",
"text": "Since there are potentially many different ways to carry out this analytic continuation process, there are questions of ambiguity and redundancy.",
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"ref": "2014, M. Mursaleen, Applied Summability Methods, Springer, page 31",
"text": "Analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example, in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.",
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"text": "1975, S. Smith (translator), L. A. Muraveǐ Asymptotics for the Wave Equation, S. Smith (translator), Valentin P. Michaǐlov (editor), Boundary Value Problems for Differential Equations, Mathematical Association of America, page 107,\nUsing (2.6), (2.15)-(2.18) and (2.54) in the same way as in the cases considered earlier, we get that the series (0.14) determines the analytic continuation of the Green function of the second boundary value problem into the domain K_B∩|k|<β with the property (0.23)."
},
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"ref": "1995, Valentin I. Ivanov, Michael K. Trubetskov, Handbook of Conformal Mapping with Computer-Aided Visualization, CRC Press, page 26",
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},
{
"ref": "2008, Steven G. Krantz, A Guide to Complex Variables, Mathematical Association of America, page 125",
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},
{
"ref": "2014, M. Mursaleen, Applied Summability Methods, Springer, page 31",
"text": "Analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example, in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.",
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"text": "1975, S. Smith (translator), L. A. Muraveǐ Asymptotics for the Wave Equation, S. Smith (translator), Valentin P. Michaǐlov (editor), Boundary Value Problems for Differential Equations, Mathematical Association of America, page 107,\nUsing (2.6), (2.15)-(2.18) and (2.54) in the same way as in the cases considered earlier, we get that the series (0.14) determines the analytic continuation of the Green function of the second boundary value problem into the domain K_B∩|k|<β with the property (0.23)."
},
{
"ref": "1995, Valentin I. Ivanov, Michael K. Trubetskov, Handbook of Conformal Mapping with Computer-Aided Visualization, CRC Press, page 26",
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],
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{
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"word": "analytisk fortsättning"
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"word": "analytische Fortsetzung"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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