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Bell polynomials
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==References== {{refbegin}} *{{ cite journal |first1=M. |last1=Abbas |first2=S. |last2=Bouroubi |title=On new identities for Bell's polynomial |journal=Discrete Math. |year=2005 |volume=293 |issue=1–3 |pages=5–10 |mr=2136048 |doi=10.1016/j.disc.2004.08.023|doi-access=free }} * {{cite journal |last1=Alexeev |first1=N. |last2=Pologova |first2=A. |last3=Alekseyev |first3=M. A. |title=Generalized Hultman Numbers and Cycle Structures of Breakpoint Graphs |journal=Journal of Computational Biology |volume=24 |issue=2 |year=2017 |pages=93–105 |doi=10.1089/cmb.2016.0190 |pmid=28045556 |arxiv=1503.05285|s2cid=9678733 }} * {{cite book |first=G. E. | last=Andrews | author-link=George Andrews (mathematician) | title=The Theory of Partitions | series=Cambridge Mathematical Library | publisher=[[Cambridge University Press]] | year=1998 | edition=1st pbk | isbn=0-521-63766-X | pages=204–211 }} * {{cite journal |last=Bell |first=E. T. |author-link=Eric Temple Bell |title=Partition Polynomials | jstor=1967979 |journal=[[Annals of Mathematics]] |volume=29 |issue=1/4 |year=1927–1928 |pages=38–46 |doi=10.2307/1967979 | mr=1502817 }} * {{cite journal |last=Bell |first=E. T. |author-link=Eric Temple Bell |title=Exponential Polynomials | jstor=1968431 |journal=[[Annals of Mathematics]] |volume=35 |issue=2 |year=1934 |pages=258–277 |doi=10.2307/1968431 | mr=1503161 }} * {{cite journal |first=K. N. |last=Boyadzhiev |title=Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals |journal=[[Abstract and Applied Analysis]] |volume=2009 |pages=1–18 |year=2009 |doi=10.1155/2009/168672|arxiv=0909.0979 |bibcode=2009AbApA2009....1B |s2cid=1608664 |doi-access=free }} (contains also elementary review of the concept Bell-polynomials) * {{cite book |first=C. A. |last=Charalambides |title=Enumerative Combinatorics |publisher=Chapman & Hall / CRC |year=2002 |isbn=9781584882909 |pages=632}} * {{cite book |first=L. |last=Comtet |title=Advanced Combinatorics: The Art of Finite and Infinite Expansions |publisher=Reidel Publishing Company |place=Dordrecht, Holland / Boston, U.S. |year=1974 |url=https://archive.org/details/Comtet_Louis_-_Advanced_Coatorics |access-date=2019-07-02 |archive-url=https://web.archive.org/web/20170601062056/https://archive.org/details/Comtet_Louis_-_Advanced_Coatorics |archive-date=2017-06-01 |url-status=live }} * {{cite journal|last=Cvijović |first=D. |title=New identities for the partial Bell polynomials |journal=Applied Mathematics Letters |year=2011 |volume=24 |issue=9 |pages=1544–1547 |doi=10.1016/j.aml.2011.03.043 |s2cid=45311678 |url=http://vinar.vin.bg.ac.rs//bitstream/id/12791/4374.pdf |access-date=2020-06-05 |archive-url=https://web.archive.org/web/20200309144314/http://vinar.vin.bg.ac.rs//bitstream/id/12791/4374.pdf|archive-date=2020-03-09|url-status=live}} * {{cite journal |first1=M. |last1=Griffiths |title=Families of sequences from a class of multinomial sums |journal=Journal of Integer Sequences |url=http://www.cs.uwaterloo.ca/journals/JIS/VOL15/Griffiths/griffiths20.html |year=2012 |mr=2872465 |volume=15 |pages=Article 12.1.8 |access-date=2012-06-27 |archive-url=https://web.archive.org/web/20140502084205/https://cs.uwaterloo.ca/journals/JIS/VOL15/Griffiths/griffiths20.html |archive-date=2014-05-02 |url-status=live }} * {{cite arXiv |first=V. V. |last=Kruchinin |year=2011|eprint=1104.5065 |title=Derivation of Bell Polynomials of the Second Kind|class=math.CO }} * {{cite journal |first1=S. |last1=Noschese |first2=P. E. |last2=Ricci |title=Differentiation of Multivariable Composite Functions and Bell Polynomials |journal=Journal of Computational Analysis and Applications | volume=5 |issue=3 |pages=333–340 |year=2003 |doi=10.1023/A:1023227705558|s2cid=118361207 }} * {{cite book |last=Roman |first=S. |author-link=Steven Roman |title=The Umbral Calculus |publisher=[[Dover Publications]] |year=2013 |isbn=9780486153421 |pages=208}} * {{cite journal |first1=V. G. |last1=Voinov |first2=M. S. |last2=Nikulin |title=On power series, Bell polynomials, Hardy–Ramanujan–Rademacher problem and its statistical applications |journal= Kybernetika | volume=30 |issue=3 |pages=343–358 |year=1994 |issn=0023-5954}} {{refend}} {{DEFAULTSORT:Bell Polynomials}} [[Category:Enumerative combinatorics]] [[Category:Polynomials]]
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