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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=-7/4, b1`>=-11/2 > For fixed z and a1=-7/4, b1`=9/2





http://functions.wolfram.com/07.22.03.aa38.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {9/2, 19/4}, z] == (1/(391053312 Sqrt[2] z^(13/4))) ((2 Sqrt[z] (337702365 + 541371600 z + 310334976 z^2 + 388079616 z^3 - 53149696 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]]^2 - (1013107095 + 932556240 z + 475808256 z^2 + 356622336 z^3 - 52494336 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (663398505 + 692257104 z + 388523520 z^2 + 375201792 z^3 - 52887552 z^4 + 1048576 z^5) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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