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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, a3





http://functions.wolfram.com/07.27.03.0014.01









  


  










Input Form





HypergeometricPFQ[{a, b, c}, {a + 2, b + 2}, 1] == (1/(a - b)) (((a (a + 1))/(a - b - 1)) ((Gamma[2 - c] Gamma[2 + b])/ Gamma[2 + b - c]) - ((b (b + 1))/(b - a - 1)) ((Gamma[2 - c] Gamma[2 + a])/Gamma[2 + a - c]) + ((2 (a + 1) (b + 1) Gamma[1 - c])/((a - b - 1) (a - b + 1))) (b (Gamma[a + 1]/Gamma[a - c + 1]) - a (Gamma[b + 1]/Gamma[b - c + 1]))) /; Re[c] < 4 && a != b - 1 && a != b && a != b + 1 && c != 1 && c != 2 && c != 3










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