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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=23/4, b1`>=-11/2 > For fixed z and a1=23/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.age8.01









  


  










Input Form





HypergeometricPFQ[{23/4}, {-(9/2), -(15/4)}, z] == -((1/(215571769875 z^(1/4))) (Sqrt[2] ((-215571769875 + 357689455200 z - 22562971200 z^2 - 81100293120 z^3 - 48977026560 z^4 + 498331975680 z^5 + 640872087552 z^6 + 22867345408 z^7 + 33554432 z^8) BesselI[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (-215571769875 + 70260428700 z + 125865986400 z^2 + 55604767680 z^3 + 808980480 z^4 + 324301455360 z^5 + 78781612032 z^6 + 700448768 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (-215571769875 - 217168597800 z - 108943758000 z^2 - 47771982720 z^3 - 45302906880 z^4 + 104968028160 z^5 + 5197791232 z^6 + 8388608 z^7) 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