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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=9/4, b1`>=-11/2 > For fixed z and a1=9/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.ade3.01









  


  










Input Form





HypergeometricPFQ[{9/4}, {-(3/2), -(21/4)}, -z] == -((1/(3132675 Sqrt[2])) (z^(1/4) ((-3132675 + 7160400 z - 6233760 z^2 + 2496000 z^3 + 1417216 z^4 + 131072 z^5) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-3132675 + 4654260 z - 2733120 z^2 - 525312 z^3 + 212992 z^4) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] - 4 z (3132675 - 2148120 z + 383616 z^2 + 399360 z^3 + 32768 z^4) 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