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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/07.22.03.8093.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(5/2), -(21/4)}, -z] == -((1/(140970375 Sqrt[2])) (z^(1/4) ((-140970375 + 220182300 z - 68655600 z^2 - 16554240 z^3 + 28938240 z^4 - 6619136 z^5 + 1048576 z^6) BesselJ[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (140970375 - 107406000 z - 7244640 z^2 + 4354560 z^3 - 909312 z^4 + 131072 z^5) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 4 z (-140970375 - 5370300 z - 7076160 z^2 + 7750656 z^3 - 1720320 z^4 + 262144 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