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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Representations through more general functions > Through Meijer G > Classical cases involving algebraic functions





http://functions.wolfram.com/07.27.26.0011.01









  


  










Input Form





HypergeometricPFQ[{a, a + 1/2, 1/2 - a + b}, {b, a + 3/2}, (4 z)/(1 + z)^2]/ (1 + z)^(2 a) == (((1 + 2 a) Gamma[b])/(4 Gamma[-1 + 2 a] Gamma[1 + 2 a - b])) MeijerG[{{3/2 - a, -2 a + b, 1 - 2 a}, {}}, {{0}, {-(1/2) - a, 1 - b}}, z] /; Abs[z] < 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