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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/07.27.03.0109.01









  


  








Input Form





HypergeometricPFQ[{1, m, n}, {m + 1, n + 1}, -1] == ((m n)/(m - n)) ((-1)^m - (-1)^n) Log[2] + (((-1)^m m n)/(m - n)) Sum[(-1)^k/k, {k, 1, m - n}] - (-1)^n m n Sum[(-1)^k/(k (k + m - n)), {k, 1, n - 1}] /; Element[m, Integers] && m > 0 && Element[n, Integers] && n > 0 && m > n








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