gamma function (Q1584): Difference between revisions

@@ Property / Commons category @@
+Gamma and related functions
@@ Property / Commons category: Gamma and related functions / rank @@
+Normal rank
@@ Property / NDL Authority ID @@
+00562231
@@ Property / NDL Authority ID: 00562231 / rank @@
+Normal rank
@@ Property / Freebase ID @@
+/m/037dm
@@ Property / Freebase ID: /m/037dm / rank @@
+Normal rank
@@ Property / Freebase ID: /m/037dm / reference @@
+stated in: Freebase Data Dumps
publication date: 28 October 2013Timestamp +2013-10-28T00:00:00Z
Timezone +00:00
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++2013-10-28T00:00:00Z
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+Gregorian
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@@ Property / Stack Exchange tag @@
+https://stackoverflow.com/tags/gamma-function
+Normal rank
@@ Property / PSH ID @@
@@ Property / PSH ID: 7533 / rank @@
+Normal rank
@@ Property / defining formula @@
+ $\operatorname {\Gamma } \left(z\right)=\int \limits _{0}^{\infty }t^{z-1}\mathrm {e} ^{-t}\,\mathrm {d} t$ 
\operatorname{\Gamma}\left(z\right) = \int\limits_{0}^{\infty} t^{z-1} \mathrm{e}^{-t} \, \mathrm{d}t
+Normal rank
+reference URL: http://dlmf.nist.gov/5.2.E1
+stated in: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
section, verse, paragraph, or clause: 2-20.2
@@ Property / MathWorld ID @@
+GammaFunction
@@ Property / MathWorld ID: GammaFunction / rank @@
+Normal rank
@@ Property / MathWorld ID: GammaFunction / reference @@
+imported from Wikimedia project: English Wikipedia
@@ Property / Quora topic ID @@
+Gamma-Function
@@ Property / Quora topic ID: Gamma-Function / rank @@
+Normal rank
@@ Property / Quora topic ID: Gamma-Function / reference @@
+stated in: Quora
@@ Property / instance of @@
+function
@@ Property / instance of: function / rank @@
+Normal rank
@@ Property / instance of @@
+meromorphic function
@@ Property / instance of: meromorphic function / rank @@
+Normal rank
@@ Property / instance of @@
+special function
@@ Property / instance of: special function / rank @@
+Normal rank
@@ Property / JSTOR topic ID @@
+gamma-function
@@ Property / JSTOR topic ID: gamma-function / rank @@
+Normal rank
@@ Property / discoverer or inventor @@
+Leonhard Euler
@@ Property / discoverer or inventor: Leonhard Euler / rank @@
+Normal rank
@@ Property / discoverer or inventor: Leonhard Euler / qualifier @@
+time of discovery or invention: 1729Timestamp +1729-00-00T00:00:00Z
Timezone +00:00
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++1729-00-00T00:00:00Z
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@@ Property / discoverer or inventor: Leonhard Euler / reference @@
+reference URL: https://scholarlycommons.pacific.edu/euler-works/19/
@@ Property / Encyclopædia Britannica Online ID @@
+topic/gamma-function
@@ Property / Encyclopædia Britannica Online ID: topic/gamma-function / rank @@
+Normal rank
@@ Property / Encyclopædia Britannica Online ID: topic/gamma-function / qualifier @@
+subject named as: gamma function
@@ Property / Encyclopædia Universalis ID @@
+fonction-gamma
@@ Property / Encyclopædia Universalis ID: fonction-gamma / rank @@
+Normal rank
@@ Property / Dictionary of Algorithms and Data Structures ID @@
+gammaFunction
+Normal rank
@@ Property / OpenMath ID @@
+hypergeo0#gamma
@@ Property / OpenMath ID: hypergeo0#gamma / rank @@
+Normal rank
@@ Property / Brilliant Wiki ID @@
+gamma-function
@@ Property / Brilliant Wiki ID: gamma-function / rank @@
+Normal rank
@@ Property / Rosetta Code page ID @@
+Gamma_function
@@ Property / Rosetta Code page ID: Gamma_function / rank @@
+Normal rank
@@ Property / described by source @@
+Brockhaus and Efron Encyclopedic Dictionary
+Normal rank
@@ Property / described by source @@
+ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
+Normal rank
+section, verse, paragraph, or clause: 2-20.2
+subject named as: gamma function
@@ Property / described by source @@
+Great Soviet Encyclopedia (1926–1947)
@@ Property / described by source: Great Soviet Encyclopedia (1926–1947) / rank @@
+Normal rank
@@ Property / topic's main category @@
+Category:Gamma and related functions
@@ Property / topic's main category: Category:Gamma and related functions / rank @@
+Normal rank
@@ Property / different from @@
+factorial
@@ Property / different from: factorial / rank @@
+Normal rank
@@ Property / Microsoft Academic ID @@
+82240120
@@ Property / Microsoft Academic ID: 82240120 / rank @@
+Normal rank
@@ Property / Encyclopedia of China (Second Edition) ID @@
@@ Property / Encyclopedia of China (Second Edition) ID: 249648 / rank @@
+Normal rank
@@ Property / Namuwiki ID @@
+감마 함수
@@ Property / Namuwiki ID: 감마 함수 / rank @@
+Normal rank
@@ Property / image @@
+Gamma plot.svg
@@ Property / image: Gamma plot.svg / rank @@
+Normal rank
@@ Property / image: Gamma plot.svg / qualifier @@
+media legend: Графік гама-функцыі рэчаіснай зменнай (Belarusian)
@@ Property / image @@
+Complex gamma.jpg
@@ Property / image: Complex gamma.jpg / rank @@
+Normal rank
@@ Property / image @@
+ComplexGamma3Dlog.PNG
@@ Property / image: ComplexGamma3Dlog.PNG / rank @@
+Normal rank
@@ Property / video @@
+Gamma property.gif
@@ Property / video: Gamma property.gif / rank @@
+Normal rank
@@ Property / nLab ID @@
+Gamma function
@@ Property / nLab ID: Gamma function / rank @@
+Normal rank
@@ Property / in defining formula @@
+ $\operatorname {\Gamma } (z)$ 
\operatorname{\Gamma}(z)
@@ Property / in defining formula: $\operatorname {\Gamma } (z)$ / rank @@
+Normal rank
@@ Property / in defining formula: $\operatorname {\Gamma } (z)$ / qualifier @@
+symbol represents: gamma function
@@ Property / in defining formula @@
+ $\int _{a}^{b}f(x)\,\mathrm {d} x$ 
\int_a^b f(x) \, \mathrm{d}x
@@ Property / in defining formula: $\int _{a}^{b}f(x)\,\mathrm {d} x$ / rank @@
+Normal rank
@@ Property / in defining formula: $\int _{a}^{b}f(x)\,\mathrm {d} x$ / qualifier @@
+symbol represents: definite integral
@@ Property / in defining formula @@
+ $\mathrm {e}$ 
\mathrm{e}
@@ Property / in defining formula: $\mathrm {e}$ / rank @@
+Normal rank
@@ Property / in defining formula: $\mathrm {e}$ / qualifier @@
+symbol represents: Euler's number
@@ Property / OpenAlex ID @@
+C82240120
@@ Property / OpenAlex ID: C82240120 / rank @@
+Normal rank
@@ Property / OpenAlex ID: C82240120 / reference @@
+stated in: OpenAlex
retrieved: 26 January 2022Timestamp +2022-01-26T00:00:00Z
Timezone +00:00
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reference URL: https://docs.openalex.org/download-snapshot/snapshot-data-format
-Timestamp
++2022-01-26T00:00:00Z
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++00:00
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@@ Property / Fandom article ID @@
+math:Gamma_function
@@ Property / Fandom article ID: math:Gamma_function / rank @@
+Normal rank
@@ Property / Fandom article ID: math:Gamma_function / qualifier @@
+subject named as: Gamma function
@@ Property / Fandom article ID: math:Gamma_function / qualifier @@
+language of work or name: English
@@ Property / on focus list of Wikimedia project @@
+Wikipedia:Vital articles/Level/4
+Normal rank
+point in time: 31 October 2022Timestamp +2022-10-31T00:00:00Z
Timezone +00:00
Calendar Gregorian
Precision 1 day
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-Timestamp
++2022-10-31T00:00:00Z
-Timezone
++00:00
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+Gregorian
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@@ Property / GND ID @@
+4289118-8
@@ Property / GND ID: 4289118-8 / rank @@
+Normal rank
@@ Property / Metamath statement ID @@
+df-gam
@@ Property / Metamath statement ID: df-gam / rank @@
+Normal rank

Latest revision as of 15:28, 29 July 2024

extension of the factorial function, with its argument shifted down by 1, to real and complex numbers

complete gamma function
Euler integral of the second kind

Language	Label	Description	Also known as
English	gamma function	extension of the factorial function, with its argument shifted down by 1, to real and complex numbers	complete gamma function Euler integral of the second kind