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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=5/2





http://functions.wolfram.com/07.22.03.a7si.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {5/2, 17/4}, z] == ((2 Sqrt[z] (-406586755575 + 2168462696400 z + 131914632326400 z^2 - 171946228101120 z^3 + 39786905272320 z^4 - 2500611538944 z^5 + 49375346688 z^6 - 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 + 3 (677644592625 - 4095985093200 z - 26985313555200 z^2 + 140520771072000 z^3 - 37670017105920 z^4 + 2457804472320 z^5 - 49140465664 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (2032933777875 - 7951029886800 z - 35668301011200 z^2 + 144425214259200 z^3 - 37959241236480 z^4 + 2463844270080 z^5 - 49174020096 z^6 + 268435456 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(114616354406400 Sqrt[2] z^(11/4))










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