| dbo:abstract |
In mathematics, the Siegel G-functions are a class of functions in transcendental number theory introduced by C. L. Siegel. They satisfy a linear differential equation with polynomial coefficients, and the coefficients of their power series expansion lie in a fixed algebraic number field and have heights of at most exponential growth. (en) Inom matematiken är Siegels G-funktioner en klass av funktioner inom introducerad av Carl Siegel. De satisfierar en linjär differentialekvation med polynomkoefficienter, och koefficienterna av deras potensserier ligger i en fixerad algebraisk talkropp och deras höjder har högst exponentiell tillväxt. (sv) |
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dbr:Power_series dbr:C._L._Siegel dbr:Algebraic_number_field dbr:E-function dbr:Mathematics dbr:Linear_differential_equation dbr:Exponential_function dbc:Analytic_number_theory dbr:Big_O_notation dbr:Polynomial dbr:Transcendental_number_theory |
| dbp:first |
F. (en) |
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g/g110010 (en) |
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Beukers (en) |
| dbp:title |
G-function (en) |
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dbc:Analytic_number_theory |
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dbr:Functions |
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dbo:Software |
| rdfs:comment |
In mathematics, the Siegel G-functions are a class of functions in transcendental number theory introduced by C. L. Siegel. They satisfy a linear differential equation with polynomial coefficients, and the coefficients of their power series expansion lie in a fixed algebraic number field and have heights of at most exponential growth. (en) Inom matematiken är Siegels G-funktioner en klass av funktioner inom introducerad av Carl Siegel. De satisfierar en linjär differentialekvation med polynomkoefficienter, och koefficienterna av deras potensserier ligger i en fixerad algebraisk talkropp och deras höjder har högst exponentiell tillväxt. (sv) |
| rdfs:label |
Siegel G-function (en) Siegels G-funktion (sv) |
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freebase:Siegel G-function wikidata:Siegel G-function dbpedia-sv:Siegel G-function https://global.dbpedia.org/id/4ux61 |
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