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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`=1/2





http://functions.wolfram.com/07.22.03.8257.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {1/2, -(1/4)}, -z] == -((1/(197358525 Sqrt[2])) (z^(1/4) ((-197358525 + 9473209200 z + 31425457140 z^2 + 12966912000 z^3 + 1263568896 z^4 + 35651584 z^5 + 262144 z^6) BesselJ[-(1/4), Sqrt[z]]^ 2 - 2 Sqrt[z] (394717050 + 6267428055 z + 3058503840 z^2 + 310431744 z^3 + 8871936 z^4 + 65536 z^5) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 4 z (1233565200 + 7154142345 z + 3166115904 z^2 + 313689600 z^3 + 8896512 z^4 + 65536 z^5) BesselJ[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