| http://schema.org/description
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q-analog of hypergeometric series
, 超幾何級数のq類似
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| http://schema.org/name
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q超幾何級数
, basic hypergeometric series
, Serie hipergeometrică fundamentală
, Q-serie ipergeometrica
, 基本超几何函数
, Sèrie hipergeomètrica bàsica
, базовый гипергеометрический ряд
, série hypergéométrique basique
, Serie hipergeométrica básica
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| http://www.w3.org/2004/02/skos/core#altLabel
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Serie ipergeometrica basica
, Q-serie ipergeometrica generalizzata
, Serie ipergeometriche basiche
, Q-hypergeometric series
, Q-sèrie hipergeomètrica
, гипергеометрический ряд
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| http://www.w3.org/2004/02/skos/core#prefLabel
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q超幾何級数
, basic hypergeometric series
, Serie hipergeometrică fundamentală
, Q-serie ipergeometrica
, 基本超几何函数
, Sèrie hipergeomètrica bàsica
, базовый гипергеометрический ряд
, série hypergéométrique basique
, Serie hipergeométrica básica
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| http://www.wikidata.org/prop/P10283
|
http://www.wikidata.org/entity/statement/Q1062958-C425CF89-2F61-43A3-83E9-E4D228EB3DDB +
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| http://www.wikidata.org/prop/P2534
|
http://www.wikidata.org/entity/statement/Q1062958-0695f5a8-4235-f009-4693-64bedd767211 +
, http://www.wikidata.org/entity/statement/Q1062958-2bb40dc4-45e9-e8bf-423f-5e964c20e59d +
|
| http://www.wikidata.org/prop/P2671
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http://www.wikidata.org/entity/statement/Q1062958-8727D0F1-B982-4805-92B8-A5FBE9021BED +
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| http://www.wikidata.org/prop/P279
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http://www.wikidata.org/entity/statement/Q1062958-21363849-42e8-50ea-cd57-1ba4f0f6d54e +
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| http://www.wikidata.org/prop/P2812
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http://www.wikidata.org/entity/statement/Q1062958-EAE06D87-4760-42F5-AB02-C6D5B3702197 +
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| http://www.wikidata.org/prop/P31
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http://www.wikidata.org/entity/statement/Q1062958-3BE9A08E-3D5C-440A-BF6F-23DE7AFEA5AF +
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| http://www.wikidata.org/prop/P6104
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http://www.wikidata.org/entity/statement/Q1062958-E79AFAFD-2C8E-4251-AE02-4828FA590AFE +
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| http://www.wikidata.org/prop/P6366
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http://www.wikidata.org/entity/statement/Q1062958-D2BCD0AB-31F4-4747-A3FF-47057ABD3B34 +
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| http://www.wikidata.org/prop/P646
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http://www.wikidata.org/entity/statement/Q1062958-F0EFA852-E56B-41D6-8DF3-1B6B20BEFAFD +
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| http://www.wikidata.org/prop/direct-normalized/P2671
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http://g.co/kg/g/11g0gdgd35 +
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| http://www.wikidata.org/prop/direct-normalized/P6366
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https://makg.org/entity/92941272 +
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| http://www.wikidata.org/prop/direct/P10283
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C92941272
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| http://www.wikidata.org/prop/direct/P2534
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<math xmlns="http://www.w3.org/1998/Mat … <math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \;_{j}\phi _{k}\left[{\begin{matrix}a_{1}&a_{2}&\ldots &a_{j}\\b_{1}&b_{2}&\ldots &b_{k}\end{matrix}};q,z\right]=\sum _{n=0}^{\infty }{\frac {(a_{1},a_{2},\ldots ,a_{j};q)_{n}}{(b_{1},b_{2},\ldots ,b_{k},q;q)_{n}}}\left((-1)^{n}q^{n \choose 2}\right)^{1+k-j}z^{n}}">
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<msub>
<mi>ϕ<!-- ϕ --></mi>
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<mi>k</mi>
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<mi>a</mi>
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<mn>2</mn>
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<msub>
<mi>a</mi>
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<mi>j</mi>
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<mi>b</mi>
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<mn>1</mn>
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</msub>
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<mtd>
<msub>
<mi>b</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msub>
</mtd>
<mtd>
<mo>…<!-- … --></mo>
</mtd>
<mtd>
<msub>
<mi>b</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
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</mrow>
<mo>;</mo>
<mi>q</mi>
<mo>,</mo>
<mi>z</mi>
</mrow>
<mo>]</mo>
</mrow>
<mo>=</mo>
<munderover>
<mo>∑<!-- ∑ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
<mo>=</mo>
<mn>0</mn>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal">∞<!-- ∞ --></mi>
</mrow>
</munderover>
<mrow class="MJX-TeXAtom-ORD">
<mfrac>
<mrow>
<mo stretchy="false">(</mo>
<msub>
<mi>a</mi>
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<mo>,</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
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</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>j</mi>
</mrow>
</msub>
<mo>;</mo>
<mi>q</mi>
<msub>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
</mrow>
<mrow>
<mo stretchy="false">(</mo>
<msub>
<mi>b</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>b</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>b</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>k</mi>
</mrow>
</msub>
<mo>,</mo>
<mi>q</mi>
<mo>;</mo>
<mi>q</mi>
<msub>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
</mrow>
</mfrac>
</mrow>
<msup>
<mrow>
<mo>(</mo>
<mrow>
<mo stretchy="false">(</mo>
<mo>−<!-- − --></mo>
<mn>1</mn>
<msup>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
<msup>
<mi>q</mi>
<mrow class="MJX-TeXAtom-ORD">
<mrow>
<mrow class="MJX-TeXAtom-OPEN">
<mo maxsize="1.2em" minsize="1.2em">(</mo>
</mrow>
<mfrac linethickness="0">
<mi>n</mi>
<mn>2</mn>
</mfrac>
<mrow class="MJX-TeXAtom-CLOSE">
<mo maxsize="1.2em" minsize="1.2em">)</mo>
</mrow>
</mrow>
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</msup>
</mrow>
<mo>)</mo>
</mrow>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
<mo>+</mo>
<mi>k</mi>
<mo>−<!-- − --></mo>
<mi>j</mi>
</mrow>
</msup>
<msup>
<mi>z</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msup>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \;_{j}\phi _{k}\left[{\begin{matrix}a_{1}&a_{2}&\ldots &a_{j}\\b_{1}&b_{2}&\ldots &b_{k}\end{matrix}};q,z\right]=\sum _{n=0}^{\infty }{\frac {(a_{1},a_{2},\ldots ,a_{j};q)_{n}}{(b_{1},b_{2},\ldots ,b_{k},q;q)_{n}}}\left((-1)^{n}q^{n \choose 2}\right)^{1+k-j}z^{n}}</annotation>
</semantics>
</math>ion>
</semantics>
</math>
, <math xmlns="http://www.w3.org/1998/Mat … <math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle (a_{1},a_{2},\ldots ,a_{m};q)_{n}=(a_{1};q)_{n}(a_{2};q)_{n}\ldots (a_{m};q)_{n}}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mo stretchy="false">(</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>,</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msub>
<mo>,</mo>
<mo>…<!-- … --></mo>
<mo>,</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>m</mi>
</mrow>
</msub>
<mo>;</mo>
<mi>q</mi>
<msub>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo>=</mo>
<mo stretchy="false">(</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>1</mn>
</mrow>
</msub>
<mo>;</mo>
<mi>q</mi>
<msub>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo stretchy="false">(</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mn>2</mn>
</mrow>
</msub>
<mo>;</mo>
<mi>q</mi>
<msub>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
<mo>…<!-- … --></mo>
<mo stretchy="false">(</mo>
<msub>
<mi>a</mi>
<mrow class="MJX-TeXAtom-ORD">
<mi>m</mi>
</mrow>
</msub>
<mo>;</mo>
<mi>q</mi>
<msub>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi>n</mi>
</mrow>
</msub>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle (a_{1},a_{2},\ldots ,a_{m};q)_{n}=(a_{1};q)_{n}(a_{2};q)_{n}\ldots (a_{m};q)_{n}}</annotation>
</semantics>
</math>ion>
</semantics>
</math>
|
| http://www.wikidata.org/prop/direct/P2671
|
/g/11g0gdgd35
|
| http://www.wikidata.org/prop/direct/P279
|
http://www.wikidata.org/entity/Q170198 +
|
| http://www.wikidata.org/prop/direct/P2812
|
q-HypergeometricFunction
|
| http://www.wikidata.org/prop/direct/P31
|
http://www.wikidata.org/entity/Q1434658 +
|
| http://www.wikidata.org/prop/direct/P6104
|
http://www.wikidata.org/entity/Q8487137 +
|
| http://www.wikidata.org/prop/direct/P6366
|
92941272
|
| http://www.wikidata.org/prop/direct/P646
|
/m/06x_cn
|
| rdf:type |
http://wikiba.se/ontology#Item +
|
| rdfs:label |
q超幾何級数
, basic hypergeometric series
, Serie hipergeometrică fundamentală
, Q-serie ipergeometrica
, 基本超几何函数
, Sèrie hipergeomètrica bàsica
, базовый гипергеометрический ряд
, série hypergéométrique basique
, Serie hipergeométrica básica
|
