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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`=5/2





http://functions.wolfram.com/07.22.03.8352.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {5/2, -(1/4)}, z] == ((-16 z (-12758449725 - 126868291200 z + 189797447700 z^2 - 42305667840 z^3 + 2562508800 z^4 - 49217536 z^5 + 262144 z^6) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-10016466075 - 112556077200 z + 334257953400 z^2 - 81567440640 z^3 + 5064376320 z^4 - 98107392 z^5 + 524288 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (30049398225 - 228947796000 z - 1472937177600 z^2 + 2882180750400 z^3 - 666940538880 z^4 + 40804909056 z^5 - 786432000 z^6 + 4194304 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(190779907500 Sqrt[2] z^(3/4))










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