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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`=-7/2





http://functions.wolfram.com/07.22.03.a9sp.01









  


  










Input Form





HypergeometricPFQ[{-(7/4)}, {-(7/2), 23/4}, -z] == (19 (2 Sqrt[z] (-5771092201875 + 5383021644000 z - 220540320000 z^2 + 7984005120 z^3 + 3973775360 z^4 - 522190848 z^5 + 16777216 z^6) BesselJ[-(1/4), Sqrt[z]]^2 + (17313276605625 - 42531200712000 z + 6630912288000 z^2 - 75277762560 z^3 - 4328325120 z^4 + 532676608 z^5 - 16777216 z^6) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (17313276605625 - 5596210620000 z + 320518598400 z^2 + 6755696640 z^3 + 4110876672 z^4 - 526385152 z^5 + 16777216 z^6) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(104689827840 Sqrt[2] z^(17/4))










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