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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/07.22.03.8036.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(9/2), 19/4}, z] == -(((2 Sqrt[z] (-582574444502675625 - 421856347062150000 z + 51811802025984000 z^2 - 51259519877529600 z^3 - 20175391427788800 z^4 - 2825272153866240 z^5 - 230770606080000 z^6 - 14075681570816 z^7 - 949187772416 z^8 + 68719476736 z^9) BesselI[-(1/4), Sqrt[z]]^2 + (1747723333508026875 + 3928766501770110000 z - 108480960491904000 z^2 + 69082402701312000 z^3 + 22404946791628800 z^4 + 2993461835857920 z^5 + 240362811555840 z^6 + 14553496682496 z^7 + 906238099456 z^8 - 68719476736 z^9) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (-1747723333508026875 - 200290056952986000 z - 32382376266240000 z^2 + 57790086875136000 z^3 + 20992813999718400 z^4 + 2888929357332480 z^5 + 234533802737664 z^6 + 14286134968320 z^7 + 932007903232 z^8 - 68719476736 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(95864998802227200 Sqrt[2] z^(13/4)))










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