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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/07.22.03.8363.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {5/2, 9/4}, -z] == (Sqrt[Pi] z^(1/4) (-229269753838125 + 5135642485974000 z + 9130031086176000 z^2 + 2675466984960000 z^3 + 228916961280000 z^4 + 6976516915200 z^5 + 78332821504 z^6 + 268435456 z^7) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 (Sqrt[z] (104233730849325 + 454644107820000 z + 155260455356160 z^2 + 13916048670720 z^3 + 431504424960 z^4 + 4880072704 z^5 + 16777216 z^6) Cos[2 Sqrt[z]] - 4 (-15629502873600 + 257006143357425 z + 544176417002400 z^2 + 164701001445120 z^3 + 14227519488000 z^4 + 435121225728 z^5 + 4892655616 z^6 + 16777216 z^7) Sin[2 Sqrt[z]]))/ (6668241076224000 z^(3/2))










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