Editing Incomplete gamma function (section)

== References ==
{{refbegin}}
* {{AS ref|6.5}} {{Cite web | title= Incomplete Gamma function | url= http://www.math.sfu.ca/~cbm/aands/page_260.htm }} §6.5.
* {{Cite journal| first1=Giampietro | last1=Allasia
|first2=Renata |last2=Besenghi
|title= Numerical calculation of incomplete gamma functions by the trapezoidal rule
|journal=Numer. Math.
|volume=50
|issue=4
|doi=10.1007/BF01396662
|year=1986
|pages=419–428
| s2cid=121964300
}}
* {{cite journal|first1=Paolo |last1=Amore
|title=Asymptotic and exact series representations for the incomplete Gamma function
|journal=Europhys. Lett.
|year=2005
|mr=2170316
|volume=71 | issue=1
|pages=1–7
 |doi=10.1209/epl/i2005-10066-6
|arxiv=math-ph/0501019|bibcode=2005EL.....71....1A|s2cid=1921569
}}
* G. Arfken and H. Weber. ''Mathematical Methods for Physicists''. Harcourt/Academic Press, 2000. ''(See Chapter 10.)''
* {{Cite journal | last1= DiDonato | first1= Armido R. | last2= Morris, Jr. | first2= Alfred H. | title= Computation of the incomplete gamma function ratios and their inverse | journal= ACM Transactions on Mathematical Software | volume= 12 | issue= 4 | pages= 377&ndash;393 |date=Dec 1986 | doi= 10.1145/22721.23109 | s2cid= 14351930 }}
* {{cite journal|first1= Richard |last1=Barakat
|title=Evaluation of the Incomplete Gamma Function of Imaginary Argument by Chebyshev Polynomials
|journal=Math. Comp.
|year=1961
|mr=0128058
|volume=15 | issue=73 |pages=7–11 |doi=10.1090/s0025-5718-1961-0128058-1
|doi-access=free
}}
* {{cite journal|first1=Petr |last1=Carsky |first2=Martin |last2=Polasek
|title=Incomplete Gamma {{math|F_m(x)}} functions for real and complex arguments
|year=1998 |doi =10.1006/jcph.1998.5975 |volume=143
|issue=1 |pages=259–265 |journal=J. Comput. Phys. | mr=1624704
|bibcode=1998JCoPh.143..259C}}
* {{cite journal|first1= M. Aslam |last1=Chaudhry |first2=S. M. |last2=Zubair
|title=On the decomposition of generalized incomplete Gamma functions with applications to Fourier transforms
|journal=J. Comput. Appl. Math.
|year=1995 |volume=59 |issue=101 | pages=253–284 | mr=1346414 |doi=10.1016/0377-0427(94)00026-w
|doi-access=free }}
* {{Cite journal | last1= DiDonato | first1= Armido R. | last2= Morris, Jr. | first2= Alfred H. | doi= 10.1145/29380.214348 | title= ALGORITHM 654: FORTRAN subroutines for computing the incomplete gamma function ratios and their inverse | journal= ACM Transactions on Mathematical Software | volume= 13 | issue= 3 | pages= 318&ndash;319 | date= Sep 1987 | s2cid= 19902932 | url= https://zenodo.org/record/1236180 | doi-access= free }} ''(See also [http://www.netlib.org/toms/654 www.netlib.org/toms/654]).''
* {{Cite journal|first1=H. | last1=Früchtl | first2=P. |last2=Otto
|title= A new algorithm for the evaluation of the incomplete Gamma Function on vector computers
|journal= ACM Trans. Math. Softw.
|year=1994 |volume=20 |issue=4|pages=436–446 |doi=10.1145/198429.198432
| s2cid=16737306 |doi-access=free }}
* {{cite journal|first1=Walter |last1=Gautschi
|title=The incomplete gamma function since Tricomi
|year=1998 | journal=Atti Convegni Lincei | mr=1737497
|volume=147 | pages=203–237
}}
* {{cite journal|first1=Walter |last1=Gautschi
|title = A Note on the recursive calculation of Incomplete Gamma Functions
|journal=ACM Trans. Math. Softw.
|year=1999
|mr=1697463 |volume=25 |issue=1 | pages=101–107 |doi=10.1145/305658.305717
|s2cid=36469885
|doi-access=free
}}
* {{cite book |author-first1=Izrail Solomonovich |author-last1=Gradshteyn |author-link1=Izrail Solomonovich Gradshteyn |author-first2=Iosif Moiseevich |author-last2=Ryzhik |author-link2=Iosif Moiseevich Ryzhik |author-first3=Yuri Veniaminovich |author-last3=Geronimus |author-link3=Yuri Veniaminovich Geronimus |author-first4=Michail Yulyevich |author-last4=Tseytlin |author-link4=Michail Yulyevich Tseytlin |author-first5=Alan |author-last5=Jeffrey |editor-first1=Daniel |editor-last1=Zwillinger |editor-first2=Victor Hugo |editor-last2=Moll |editor-link2=Victor Hugo Moll |translator=Scripta Technica, Inc. |title=Table of Integrals, Series, and Products |publisher=[[Academic Press, Inc.]] |date=2015 |orig-year=October 2014 |edition=8 |language=en |isbn=978-0-12-384933-5 |lccn=2014010276 <!-- |url=https://books.google.com/books?id=NjnLAwAAQBAJ |access-date=2016-02-21-->|title-link=Gradshteyn and Ryzhik |chapter=8.35. |pages=908–911 }}
* {{cite journal|first1=William B. |last1=Jones | first2= W. J. |last2=Thron
|title=On the computation of incomplete gamma functions in the complex domain
|year=1985
|journal=J. Comput. Appl. Math. | doi=10.1016/0377-0427(85)90034-2
|mr=0793971 | volume=12-13 | pages=401–417
|doi-access=free }}
* {{springer|title=Incomplete gamma-function|id=p/i050470}}
* {{Cite journal | last1= Mathar | first1= Richard J. | title= Numerical representation of the incomplete gamma function of complex-valued argument | journal= Numerical Algorithms | year= 2004 | volume= 36 | issue= 3 | pages= 247&ndash;264 | doi= 10.1023/B:NUMA.0000040063.91709.58 | arxiv= math/0306184 | bibcode= 2004NuAlg..36..247M | mr= 2091195 | s2cid= 30860614 }}
* {{cite journal| first1=Allen R. | last1=Miller | first2=Ira S. | last2=Moskowitz
|title=On certain Generalized incomplete Gamma functions
|year=1998 | journal=J. Comput. Appl. Math.
|volume=91 | issue=2|pages=179–190 | doi=10.1016/s0377-0427(98)00031-4
| doi-access=free }}
* {{dlmf | id= 8 | Incomplete Gamma and Related Functions | last= Paris | first= R. B.}}
* {{cite journal|first1=R. B. | last1=Paris | 
title=A uniform asymptotic expansion for the incomplete gamma function
|journal= J. Comput. Appl. Math.
|year=2002 | doi=10.1016/S0377-0427(02)00553-8
|volume=148 | issue=2 | pages=323–339 | mr=1936142
|bibcode=2002JCoAM.148..323P|doi-access=free }}
* {{Cite book | 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 | location=New York | isbn=978-0-521-88068-8 | chapter=Section 6.2. Incomplete Gamma Function and Error Function | chapter-url=http://apps.nrbook.com/empanel/index.html?pg=259 | access-date=9 August 2011 | archive-date=15 April 2021 | archive-url=https://web.archive.org/web/20210415081842/http://apps.nrbook.com/empanel/index.html?pg=259 | url-status=dead }}
* {{cite journal|first1=Roy | last1=Takenaga | title=On the Evaluation of the Incomplete Gamma Function
|year=1966 | journal=Math. Comp. | volume=20 | issue=96
|pages=606–610|mr=0203911 |doi=10.1090/S0025-5718-1966-0203911-3 
|doi-access=free }}
* {{cite journal|first1=Nico | last1=Temme
|title=Uniform Asymptotic Expansions of the Incomplete Gamma Functions and the Incomplete Beta Function
|journal=Math. Comp.
|doi=10.1090/S0025-5718-1975-0387674-2 
|volume=29 | issue=132 | year=1975 | pages=1109–1114 |mr=0387674
|doi-access=free}}
* {{cite journal|first1=Riho | last1=Terras
|title=The determination of incomplete Gamma Functions through analytic integration
|year=1979 | journal = J. Comput. Phys. | volume=31 | issue=1
| pages=146–151|mr=0531128 | doi=10.1016/0021-9991(79)90066-4
|bibcode=1979JCoPh..31..146T}}
* {{cite journal| first1=Francesco G. | last1=Tricomi
|title=Sulla funzione gamma incompleta
|year=1950|doi=10.1007/BF02428264 | journal=Ann. Mat. Pura Appl.
|volume=31|pages=263–279|mr=0047834
| s2cid=120404791
}}
* {{cite journal|first1=F. G. |last1=Tricomi
|title=Asymptotische Eigenschaften der unvollst. Gammafunktion|
year=1950|mr=0045253|journal=Math. Z. | pages=136–148
|volume=53|number=2|doi=10.1007/bf01162409
|s2cid=121234109
}}
* {{cite journal|first1=Joris | last1=van Deun | first2=Ronald | last2=Cools
| title=A stable recurrence for the incomplete gamma function with imaginary second argument
| journal=Numer. Math. |year=2006 | doi=10.1007/s00211-006-0026-1 | pages=445–456 | volume=104| issue=4 |mr=2249673
| s2cid=43780150 }}
* {{cite conference<!-- Citation bot no-->|first1=Serge | last1=Winitzki | title=Computational Science and Its Applications — ICSSA 2003 | chapter=Computing the Incomplete Gamma Function to Arbitrary Precision |year=2003 | series=Lecture Notes in Computer Science | volume=2667 | pages=790–798 |mr=2110953 | doi=10.1007/3-540-44839-x_83| isbn=978-3-540-40155-1 |conference= International Conference on Computational Science and Its Applications, Montreal, Canada, May 18–21, 2003, Proceedings, Part I|editor1= Vipin Kumar|editor2= Marina L. Gavrilova|editor2-link=Marina Gavrilova|editor3= Chih Jeng Kenneth Tan| editor4=Pierre L'Ecuyer}}
* {{MathWorld|title=Incomplete Gamma Function|id=IncompleteGammaFunction}}
{{refend}}