Fungsi gamma: Perbedaan antara revisi
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\end{align}</math>
untuk ''x'' yang sama dengan bilangan real positif. [[Teorema Bohr–Mollerup]] membuktikan bahwa sifat-sifat ini, bersama-sama dengan asumsi bahwa ''f'' [[konveks logaritmik]] (alias: "superkonveks"<ref>Kingman, J.F.C.
== Definisi ==
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\end{align}
</math>
di mana
Adalah mudah untuk menunjukkan bahwa definisi Euler memenuhi [[persamaan fungsional]] (1) di atas.
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=== Abad ke-19: Gauss, Weierstrass, dan Legendre ===
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== Kepustakaan ==
* Milton Abramowitz dan Irene A. Stegun, eds. ''Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.'' New York: Dover, 1972. ''[http://www.math.sfu.ca/~cbm/aands/page_253.htm (Lihat Bab 6)]''
* G. E. Andrews, R. Askey, R. Roy, ''Special Functions'', Cambridge University Press, 2001.
* [[Emil Artin]], "The Gamma Function", in Rosen, Michael (ed.) ''Exposition by Emil Artin: a selection''; History of Mathematics 30. Providence, RI: American Mathematical Society (2006).
* {{dlmf|authorlink=Richard Askey|first=R. A.|last= Askey|first2= R.|last2= Roy |id=5 }}
* {{cite journal | last=Birkhoff | first=George D.| authorlink=George David Birkhoff| title=Note on the gamma function | journal=Bull. Amer. Math. Soc. | year=1913 | volume=20 | number=1 | pages=1–10 | mr=1559418}}
* P. E. Böhmer, ´´Differenzengleichungen und bestimmte Integrale´´, Köhler Verlag, Leipzig, 1939.
* James D. Bonnar, ''The Gamma Function''. CreateSpace Publishing, Seattle, 2010. ISBN 978-
* Philip J. Davis, "Leonhard Euler's Integral: A Historical Profile of the Gamma Function," ''[[American Mathematical Monthly]]'' '''66''', 849-869 (1959)
* {{Citation | last1=Press | first1=WH | last2=Teukolsky | first2=SA | last3=Vetterling | first3=WT | last4=Flannery | first4=BP | year=2007 | title=Numerical Recipes: The Art of Scientific Computing | edition=3rd | publisher=Cambridge University Press | publication-place=New York | isbn=978-0-521-88068-8 | chapter=Section 6.1. Gamma Function | chapter-url=http://apps.nrbook.com/empanel/index.html?pg=256}}
* O. R. Rocktaeschel, ´´Methoden zur Berechnung der Gammafunktion für komplexes Argument``, [[Technische Universität Dresden|University of Dresden]], Dresden, 1922.
* Nico M. Temme, "Special Functions: An Introduction to the Classical Functions of Mathematical Physics", John Wiley & Sons, New York, ISBN 0-471-11313-1,1996.
* E. T. Whittaker dan G. N. Watson, ''A Course of Modern Analysis''. Cambridge University Press (1927; cetak-ulang 1996) ISBN 978-
== Pranala luar ==
{{commons category|Gamma and related functions}}
* Pascal Sebah dan Xavier Gourdon.
* [http://en.cppreference.com/w/cpp/numeric/math/tgamma Referensi C++ untuk <tt>std::tgamma</tt>]
* Contoh-contoh soal yang melibatkan fungsi gamma dapat ditemukan di [http://www.exampleproblems.com/wiki/index.php?title=Special_Functions Exampleproblems.com].
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