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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`=-3/2





http://functions.wolfram.com/07.22.03.8177.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {-(3/2), 15/4}, -z] == ((2 Sqrt[z] (-61665657928875 + 231262818508800 z^2 - 304171042406400 z^3 + 301091497574400 z^4 + 281838102773760 z^5 + 27448196464640 z^6 + 682899800064 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]]^2 - (-184996973786625 + 281900150532000 z + 69390806284800 z^2 - 246403913932800 z^3 + 163773127065600 z^4 + 265780073594880 z^5 + 27028598292480 z^6 + 680215445504 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + 2 Sqrt[z] (184996973786625 + 112760060212800 z + 231302687616000 z^2 - 308563059916800 z^3 + 240176893132800 z^4 + 275234905128960 z^5 + 27279149236224 z^6 + 681826058240 z^7 + 4294967296 z^8) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(549038850048000 Sqrt[2] z^(9/4))










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