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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Summation > Finite summation > Summed truncated generalized hypergeometric series > Case 3F2





http://functions.wolfram.com/01.02.23.0034.01









  


  








Input Form





Sum[(Pochhammer[Subscript[a, 1], k] Pochhammer[Subscript[a, 2], k] Pochhammer[Subscript[a, 3], k] z^k)/(k! Pochhammer[Subscript[b, 1], k] Pochhammer[Subscript[b, 2], k]), {k, 0, n}] == HypergeometricPFQ[{Subscript[a, 1], Subscript[a, 2], Subscript[a, 3]}, {Subscript[b, 1], Subscript[b, 2]}, z] - ((z^(n + 1) Pochhammer[Subscript[a, 1], n + 1] Pochhammer[Subscript[a, 2], n + 1] Pochhammer[Subscript[a, 3], n + 1])/ ((n + 1)! Pochhammer[Subscript[b, 1], n + 1] Pochhammer[Subscript[b, 2], n + 1])) HypergeometricPFQ[{1, Subscript[a, 1] + n + 1, Subscript[a, 2] + n + 1, Subscript[a, 3] + n + 1}, {n + 2, Subscript[b, 1] + n + 1, Subscript[b, 2] + n + 1}, z] /; Element[n, Integers] && 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