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variants of this functions
HypergeometricPFQ




Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.a8ey.01









  


  








Input Form





HypergeometricPFQ[{-(13/4)}, {-(9/2), 9/4}, z] == (1/(146313216 Sqrt[2] z^(3/4))) ((-2 Sqrt[z] (-110880819 + 103247424 z + 26159616 z^2 + 2113536 z^3 + 65536 z^4) BesselI[1/4, Sqrt[z]]^2 + 3 (59053995 + 110817504 z + 28105728 z^2 + 2170880 z^3 + 65536 z^4) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (177161985 + 125145216 z + 27809280 z^2 + 2162688 z^3 + 65536 z^4) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)








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)





2007-05-02