Ordinary differential equation: Difference between revisions

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In mathematics, the '''Mittag-Leffler polynomials''' are the [[polynomial]]s ''g''<sub>''n''</sub>(''z'') studied by {{harvs|txt|last=Mittag-Leffler|year=1891|authorlink=Gösta Mittag-Leffler}}.


They are given by
:<math> \displaystyle (1+t)^z(1-t)^{-z}=\sum_n g_n(z)t^n. </math>


==References==
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*{{Citation | last1=Bateman | first1=H. | title=The polynomial of Mittag-Leffler | jstor=86958 | mr=0002381 | year=1940 | journal=[[Proceedings of the National Academy of Sciences|Proceedings of the National Academy of Sciences of the United States of America]] | issn=0027-8424 | volume=26 | pages=491–496}}
*{{Citation | last1=Mittag-Leffler | first1=G. | title=Sur la représentasion analytique des intégrales et des invariants d'une équation différentielle linéaire et homogène | language=French | doi=10.1007/BF02392600 | jfm=23.0327.01 | year=1891 | journal=[[Acta Mathematica]] | issn=0001-5962 | volume=XV | pages=1–32}}
 
[[Category:Polynomials]]

Revision as of 21:22, 19 February 2014


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