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variants of this functions
NorlundB






Mathematica Notation

Traditional Notation









Polynomials > NorlundB[n,α] > Series representations > Generalized power series > Expansions at z==infinity





http://functions.wolfram.com/05.16.06.0008.01









  


  










Input Form





NorlundB[n, z] \[Proportional] KroneckerDelta[n] + ((-1)^n z^n (1 + 2^n Sum[StirlingS1[1 + n, k] Sum[(-1)^(j + n) j^(k - n) Binomial[n, j] Subscript[p, j, n] (1/z), {j, 1, n}], {k, 1, -1 + n}] - 2^n Sum[StirlingS1[1 + n, k] Sum[(-1)^(j + n) j^(1 + k - n) Binomial[n, j] Subscript[p, j, n] (1/z^2), {j, 1, n}], {k, 1, -2 + n}] + \[Ellipsis]))/2^n /; (Abs[z] -> Infinity) && Subscript[p, j, 0] == 1 && Subscript[p, j, k] == (1/k) Sum[(j m - k + m) Subscript[a, m] Subscript[p, j, k - m], {m, 1, k}] && Subscript[a, k] == 1/(k + 1)! && Element[k, Integers] && k >= 0 && n > 0










Standard Form





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MathML Form







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Rule Form





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





2007-05-02





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