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variants of this functions
NorlundB






Mathematica Notation

Traditional Notation









Polynomials > NorlundB[n,α,z] > Specific values > Specialized values > For fixed alpha, z





http://functions.wolfram.com/05.17.03.0015.01









  


  










Input Form





NorlundB[9, \[Alpha], z] == (1/7680) (7680 z^9 - 34560 z^8 \[Alpha] - 80640 z^6 (-1 + \[Alpha]) \[Alpha]^2 + 23040 z^7 \[Alpha] (-1 + 3 \[Alpha]) - 10080 z^4 \[Alpha]^2 (2 + 5 \[Alpha] - 10 \[Alpha]^2 + 3 \[Alpha]^3) + 4032 z^5 \[Alpha] (2 + 5 \[Alpha] - 30 \[Alpha]^2 + 15 \[Alpha]^3) - 240 z^2 \[Alpha]^2 (-16 - 42 \[Alpha] + 7 \[Alpha]^2 + 105 \[Alpha]^3 - 63 \[Alpha]^4 + 9 \[Alpha]^5) + 160 z^3 \[Alpha] (-16 - 42 \[Alpha] + 91 \[Alpha]^2 + 315 \[Alpha]^3 - 315 \[Alpha]^4 + 63 \[Alpha]^5) - \[Alpha]^2 (144 + 404 \[Alpha] + 100 \[Alpha]^2 - 665 \[Alpha]^3 - 448 \[Alpha]^4 + 630 \[Alpha]^5 - 180 \[Alpha]^6 + 15 \[Alpha]^7) + 2 z \[Alpha] (144 + 404 \[Alpha] - 540 \[Alpha]^2 - 2345 \[Alpha]^3 - 840 \[Alpha]^4 + 3150 \[Alpha]^5 - 1260 \[Alpha]^6 + 135 \[Alpha]^7))










Standard Form





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MathML Form







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</ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 180 </cn> <apply> <power /> <ci> &#945; </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 630 </cn> <apply> <power /> <ci> &#945; </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 448 </cn> <apply> <power /> <ci> &#945; </ci> <cn type='integer'> 4 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 665 </cn> <apply> <power /> <ci> &#945; </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 100 </cn> <apply> <power /> <ci> &#945; </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 404 </cn> <ci> &#945; </ci> </apply> <cn type='integer'> 144 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02