Fungsi hipergeometris: Perbedaan antara revisi
Konten dihapus Konten ditambahkan
Add 2 books for Wikipedia:Pemastian (20210209)) #IABot (v2.0.8) (GreenC bot |
Fitur saranan suntingan: 2 pranala ditambahkan. |
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* {{cite book | last1= Andrews | first1= George E. | authorlink= George Andrews (mathematician) | last2= Askey | first2= Richard | last3= Roy | first3= Ranjan | lastauthoramp= yes | title= Special functions | publisher= Cambridge University Press | year= 1999 | series= Encyclopedia of Mathematics and its Applications | volume= 71 | isbn= 978-0-521-62321-6 | mr= 1688958 | ref= harv}}
* {{cite book | last=Bailey | first=W.N. | year=1935 | title=Generalized Hypergeometric Series | publisher=Cambridge University Press | url=http://plouffe.fr/simon/math/Bailey%20W.N.%20Generalized%20Hypergeometric%20Series%20%281964%29%28L%29%28T%29%2859s%29.pdf | ref=harv | access-date=2016-07-23 | archive-url=https://web.archive.org/web/20170624164738/http://plouffe.fr/simon/math/Bailey%20W.N.%20Generalized%20Hypergeometric%20Series%20(1964)(L)(T)(59s).pdf | archive-date=2017-06-24 | url-status=dead }}
* [[Frits Beukers|Beukers, Frits]] (2002), ''[http://www.math.uu.nl/people/beukers/MRIcourse93.ps Gauss' hypergeometric function] {{Webarchive|url=https://web.archive.org/web/20061014164742/http://www.math.uu.nl/people/beukers/MRIcourse93.ps |date=2006-10-14 }}''. (lecture notes reviewing basics, as well as triangle maps and monodromy)
* {{dlmf | first= Adri B. | last= Olde Daalhuis | id= 15}}
* {{cite book | last1= Erdélyi | first1= Arthur | author1-link= Arthur Erdélyi | last2= Magnus | first2= Wilhelm | author2-link= Wilhelm Magnus | last3= Oberhettinger | first3= Fritz | lastauthoramp= yes | last4= Tricomi | first4= Francesco G. | title= Higher transcendental functions | volume= Vol. I | location= New York – Toronto – London | publisher= McGraw–Hill Book Company, Inc. | year= 1953 | isbn= 978-0-89874-206-0 | mr= 0058756 | url= http://apps.nrbook.com/bateman/Vol1.pdf | ref= harv | access-date= 2020-07-08 | archive-date= 2011-08-11 | archive-url= https://web.archive.org/web/20110811153220/http://apps.nrbook.com/bateman/Vol1.pdf | dead-url= no }}
* Gasper, George & [[Mizan Rahman|Rahman, Mizan]] (2004). Basic Hypergeometric Series, 2nd Edition, [[Encyclopedia of Mathematics]] and Its Applications, 96, [[Cambridge University Press]], Cambridge. {{ISBN|0-521-83357-4}}.
* {{cite journal | last= Gauss | first= Carl Friedrich | authorlink= Carl Friedrich Gauss | title= Disquisitiones generales circa seriem infinitam <math> 1 + \tfrac {\alpha \beta} {1 \cdot \gamma} ~x + \tfrac {\alpha (\alpha+1) \beta (\beta+1)} {1 \cdot 2 \cdot \gamma (\gamma+1)} ~x~x + \mbox{etc.} </math> | language= Latin | url= https://books.google.com/books?id=uDMAAAAAQAAJ | location= Göttingen | journal= Commentationes societatis regiae scientarum Gottingensis recentiores | year= 1813 | volume= 2 | ref= harv}}
* {{cite book | last1= Gelfand | first1= I. M. | last2= Gindikin | first2= S.G. | lastauthoramp= yes | last3= Graev | first3= M.I. | title= Selected topics in integral geometry | origyear= 2000 | url= https://books.google.com/books?isbn=0821829327 | publisher= [[American Mathematical Society]] | location= Providence, R.I. | series= Translations of Mathematical Monographs | year= 2003 | volume= 220 | isbn= 978-0-8218-2932-5 | mr= 2000133 | ref= harv}}
* {{cite journal | last1= Gessel | first1= Ira | lastauthoramp= yes | last2= Stanton | first2= Dennis | title= Strange evaluations of hypergeometric series | journal= SIAM Journal on Mathematical Analysis | year= 1982 | volume= 13 | issue= 2 | pages= 295–308 | issn= 0036-1410 | doi= 10.1137/0513021 | mr= 647127 | ref= harv}}
* {{cite journal |last=Goursat |first=Édouard |authorlink=Édouard Goursat |title=Sur l'équation différentielle linéaire, qui admet pour intégrale la série hypergéométrique |language=French |url=http://www.numdam.org/item?id=ASENS_1881_2_10__S3_0 |accessdate=2008-10-16 |journal=Annales Scientifiques de l'École Normale Supérieure |volume=10 |year=1881 |pages=3–142 |ref=harv }}
* {{cite book | last1= Heckman | first1= Gerrit | last2= Schlichtkrull | first2= Henrik | lastauthoramp= yes | title= Harmonic Analysis and Special Functions on Symmetric Spaces | url= https://archive.org/details/harmonicanalysis0000heck | location= San Diego | publisher= Academic Press | year= 1994 | isbn= 0-12-336170-2 | ref= harv}} (part 1 treats hypergeometric functions on Lie groups)
* {{cite book | last=Hille | first=Einar | year=1976 | title=Ordinary differential equations in the complex domain | url=https://archive.org/details/ordinarydifferen00hill_0 | url-access=registration | publisher=Dover | ISBN=0-486-69620-0 | ref=harv}}
*{{cite book|last=Ince|first=E. L.|authorlink=E. L. Ince|title=Ordinary Differential Equations|url=https://archive.org/details/in.ernet.dli.2015.476224|publisher= Dover Publications|year= 1944}}
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==Pranala luar==
* {{springer|title=Hypergeometric function|id=p/h048450}}
* John Pearson, [http://people.maths.ox.ac.uk/porterm/research/pearson_final.pdf Computation of Hypergeometric Functions] {{Webarchive|url=https://web.archive.org/web/20210507013830/http://people.maths.ox.ac.uk/porterm/research/pearson_final.pdf |date=2021-05-07 }} ([[University of Oxford]], MSc Thesis)
* Marko Petkovsek, Herbert Wilf and Doron Zeilberger, [https://web.archive.org/web/20060129095451/http://www.cis.upenn.edu/~wilf/AeqB.html The book "A = B"] (freely downloadable)
* {{MathWorld |title=Hypergeometric Function |urlname= HypergeometricFunction}}
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