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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`=-7/2





http://functions.wolfram.com/07.22.03.8077.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(7/2), 11/4}, -z] == ((2 Sqrt[z] (-1581170716125 + 5437454022000 z - 4992190444800 z^2 + 1513977753600 z^3 - 281842483200 z^4 + 58054410240 z^5 + 14512291840 z^6 + 268435456 z^7) BesselJ[-(1/4), Sqrt[z]]^2 - (-4743512148375 + 3614104494000 z - 5742869932800 z^2 + 1660718592000 z^3 - 296873164800 z^4 + 49435115520 z^5 + 14344519680 z^6 + 268435456 z^7) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (4743512148375 + 6505388089200 z - 5405572972800 z^2 + 1585405440000 z^3 - 291181363200 z^4 + 54531194880 z^5 + 14445182976 z^6 + 268435456 z^7) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(13284311040000 Sqrt[2] z^(5/4))










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