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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-7/2





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









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(7/2), -(17/4)}, z] == (1/(1044225 Sqrt[2])) (z^(1/4) ((1044225 + 2106000 z + 1289520 z^2 + 240640 z^3 + 24576 z^4) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (1044225 + 1270620 z + 347280 z^2 + 44032 z^3 + 4096 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (1044225 + 435240 z + 73344 z^2 + 7168 z^3) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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