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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=-5/4, b1`>=-11/2 > For fixed z and a1=-5/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aai6.01









  


  










Input Form





HypergeometricPFQ[{-(5/4)}, {9/2, -(19/4)}, z] == (1/(3145032 Sqrt[2] z^(9/4))) ((-4 z (-142760475 - 418896 z + 1708032 z^2 + 65536 z^3) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (-237934125 - 19227000 z + 748928 z^2 + 32768 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (3569011875 + 605650500 z + 35006400 z^2 + 7028736 z^3 + 262144 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