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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/07.22.03.8440.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {9/2, -(9/4)}, z] == -(((4 z (-57320419550625 + 20507181156000 z - 31745659968000 z^2 - 26299610726400 z^3 - 9646497792000 z^4 - 4910638694400 z^5 + 1054579097600 z^6 - 35735470080 z^7 + 268435456 z^8) BesselI[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (171961258651875 - 28767018010500 z + 24769971072000 z^2 + 16482984883200 z^3 + 5659051622400 z^4 + 2154214195200 z^5 - 516347658240 z^6 + 17783848960 z^7 - 134217728 z^8) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (-515883775955625 - 11962522341000 z - 52767015840000 z^2 + 163342259942400 z^3 + 117063489945600 z^4 + 42091964006400 z^5 + 18641835786240 z^6 - 4183000350720 z^7 + 142673444864 z^8 - 1073741824 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(76062781080000 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