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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3,a4},{b1,b2,b3},z] > Specific values > Values at z==-1 > For fixed a3





http://functions.wolfram.com/07.28.03.0061.01









  


  










Input Form





HypergeometricPFQ[{-n, 1, c, 2 - c}, {n + 3, 1 + c, 3 - c}, -1] == (((n + 2) c (2 - c))/(2 (n + 1) (c - 1)^2)) (1 - ((n + 1)!^2/(Pochhammer[c, n + 1] Pochhammer[2 - c, n + 1])) Sum[(Pochhammer[1 - c, k] Pochhammer[c - 1, k] 2^(2 k))/(2 k)!, {k, 0, n + 1}]) /; 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)





2001-10-29





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