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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-5/2





http://functions.wolfram.com/07.22.03.8679.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(5/2), -(11/4)}, -z] == (1/(218295 z^(1/4))) (Sqrt[2] ((218295 + 603288 z + 613872 z^2 + 701568 z^3 + 2580480 z^4 + 1892352 z^5 + 131072 z^6) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (72765 + 104076 z + 47376 z^2 + 139776 z^3 + 222208 z^4 + 16384 z^5) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 4 z (218295 + 21168 z + 58464 z^2 + 322560 z^3 + 448512 z^4 + 32768 z^5) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^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