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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Summation > Finite summation > Summed truncated generalized hypergeometric series > General case





http://functions.wolfram.com/01.02.23.0027.01









  


  








Input Form





Sum[Product[Pochhammer[Subscript[a, j], k] z^k, {j, 1, p}]/ (k! Product[Pochhammer[Subscript[b, j], k], {j, 1, q}]), {k, 0, n}] == HypergeometricPFQ[{Subscript[a, 1], \[Ellipsis], Subscript[a, p]}, {Subscript[b, 1], \[Ellipsis], Subscript[b, q]}, z] - ((z^(n + 1) Product[Pochhammer[Subscript[a, j], n + 1], {j, 1, p}])/ ((n + 1)! Product[Pochhammer[Subscript[b, j], n + 1], {j, 1, q}])) HypergeometricPFQ[{1, Subscript[a, 1] + n + 1, \[Ellipsis], Subscript[a, p] + n + 1}, {n + 2, Subscript[b, 1] + n + 1, \[Ellipsis], Subscript[b, q] + n + 1}, z] /; Element[n, Integers] && n >= 0








Standard Form





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MathML Form







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





2007-05-02