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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.9184.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), 15/4}, z] == ((2 Sqrt[z] (-69777751168125 - 38498069610000 z + 35923541472000 z^2 + 15287105433600 z^3 + 2095305523200 z^4 + 151797104640 z^5 + 7130316800 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]]^2 - (-209333253504375 - 434478214170000 z + 52797352608000 z^2 + 16976494080000 z^3 + 2205278208000 z^4 + 156704440320 z^5 + 7298088960 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (209333253504375 - 12099393306000 z + 41064607584000 z^2 + 15888357273600 z^3 + 2136534220800 z^4 + 153684541440 z^5 + 7197425664 z^6 + 268435456 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(69561483264000 Sqrt[2] z^(9/4))










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