About: P-adic gamma function

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In mathematics, the p-adic gamma function Γp is a function of a p-adic variable analogous to the gamma function. It was first explicitly defined by , though pointed out that implicitly used the same function. defined a p-adic analog Gp of log Γ. had previously given a definition of a different p-adic analogue of the gamma function, but his function does not have satisfactory properties and is not used much.

Attributes	Values
rdf:type	disease
rdfs:label	P進ガンマ関数 (ja) P-adic gamma function (en)
rdfs:comment	In mathematics, the p-adic gamma function Γp is a function of a p-adic variable analogous to the gamma function. It was first explicitly defined by , though pointed out that implicitly used the same function. defined a p-adic analog Gp of log Γ. had previously given a definition of a different p-adic analogue of the gamma function, but his function does not have satisfactory properties and is not used much. (en) 数学において、p進ガンマ関数（pしんガンマかんすう、英: p-adic gamma function）Γp(s) は p進数 s を変数とする関数で、ガンマ関数と似たものである。によって初めて陽的な形で定義されたが、は陰的な形では同様の関数がにおいて使われていたことを指摘している。は log Γ(s) の p進の類似物として Gp(s) を定義した。はかつてガンマ関数の p進の類似物として異なるものを定義していたが、彼の関数は十分な性質を備えておらず、あまり用いられていない。 (ja)
dct:subject	Number theory P-adic numbers
Wikipage page ID	33869124 (xsd:integer)
Wikipage revision ID	1054336210 (xsd:integer)
Link from a Wikipage to another Wikipage	American Journal of Mathematics P-adic exponential function Annals of Mathematics Mathematics Function (mathematics) Gamma function Modular arithmetic Ceiling function Number theory P-adic integer P-adic number Legendre symbol Reflection formula P-adic numbers Cohomology Positive integer Gross–Koblitz formula Sequence Transactions of the American Mathematical Society Springer-Verlag P-adic Taylor expansion Divisibility dbr:Mahler_expansion
sameAs	P-adic gamma function P-adic gamma function P-adic gamma function P-adic gamma function P-adic gamma function
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harvtxt dbt:Reflist dbt:Rp
has abstract	In mathematics, the p-adic gamma function Γp is a function of a p-adic variable analogous to the gamma function. It was first explicitly defined by , though pointed out that implicitly used the same function. defined a p-adic analog Gp of log Γ. had previously given a definition of a different p-adic analogue of the gamma function, but his function does not have satisfactory properties and is not used much. (en) 数学において、p進ガンマ関数（pしんガンマかんすう、英: p-adic gamma function）Γp(s) は p進数 s を変数とする関数で、ガンマ関数と似たものである。によって初めて陽的な形で定義されたが、は陰的な形では同様の関数がにおいて使われていたことを指摘している。は log Γ(s) の p進の類似物として Gp(s) を定義した。はかつてガンマ関数の p進の類似物として異なるものを定義していたが、彼の関数は十分な性質を備えておらず、あまり用いられていない。 (ja)
gold:hypernym	Function
prov:wasDerivedFrom	wikipedia-en:P-adic_gamma_function?oldid=1054336210&ns=0
page length (characters) of wiki page	8532 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:P-adic_gamma_function
is Link from a Wikipage to another Wikipage of	Gamma (disambiguation) Gamma function Chowla–Selberg formula Hasse–Davenport relation Wilson's theorem Gross–Koblitz formula Factorial Γp
is Wikipage redirect of	Γp
is Wikipage disambiguates of	Gamma (disambiguation)
is foaf:primaryTopic of	wikipedia-en:P-adic_gamma_function

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