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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 a1, a2, b1





http://functions.wolfram.com/07.27.03.0017.01









  


  








Input Form





HypergeometricPFQ[{a, b, a - n}, {d, a - n + 1}, 1] == (((a - n) Pochhammer[b - a, n] (n - 1)!)/((a - b) Pochhammer[1 - a, n] Pochhammer[d - a, n])) ((Gamma[d] Gamma[d - a - b + 1])/ (Gamma[d - a] Gamma[d - b])) Sum[(Pochhammer[1 - a, k] Pochhammer[d - a, k])/ (k! Pochhammer[b - a + 1, k]), {k, 0, n - 1}] /; Re[a + b - d] < 1








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