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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Summation > Finite summation > Summed truncated generalized hypergeometric series > Case 2F1





http://functions.wolfram.com/01.02.23.0030.01









  


  








Input Form





Sum[(Pochhammer[a, k] Pochhammer[b, k] z^k)/(k! Pochhammer[c, k]), {k, 0, n}] == HypergeometricPFQ[{a, b}, {c}, z] - ((z^(n + 1) Pochhammer[a, n + 1] Pochhammer[b, n + 1])/ ((n + 1)! Pochhammer[c, n + 1])) HypergeometricPFQ[ {1, n + a + 1, n + b + 1}, {n + 2, n + c + 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