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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 a2, a3





http://functions.wolfram.com/07.27.03.0033.01









  


  








Input Form





HypergeometricPFQ[{1, b, c}, {-b - m, -c - m}, 1] == (1/2) Sum[(Pochhammer[b, k] Pochhammer[c, k])/(Pochhammer[-b - m, k] Pochhammer[-c - m, k]), {k, 0, m + 1}] + ((2^(2 m - 1) Sqrt[Pi])/(Pochhammer[2 b + m + 1, m] Pochhammer[2 c + m + 1, m])) ((Gamma[1 - b] Gamma[1 - c] Gamma[-b - c - m - 1/2])/(Gamma[-b - c - m] Gamma[1/2 - b - m] Gamma[1/2 - c - m])) /; Re[b + c] < -m - 1/2 && Element[m + 2, Integers] && m + 2 >= 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