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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a7vf.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, -(23/4)}, -z] == ((4 z (-105534494090400375 - 2288010711987000 z - 419002773235200 z^2 + 461614493491200 z^3 - 48658219008000 z^4 + 2167100407808 z^5 - 49559896064 z^6 + 536870912 z^7) BesselJ[1/4, Sqrt[z]]^2 - 12 Sqrt[z] (-175890823484000625 + 11821388678599500 z - 456650786592000 z^2 + 253876806758400 z^3 - 25315563929600 z^4 + 1105629020160 z^5 - 25014829056 z^6 + 268435456 z^7) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + (-2638362352260009375 + 411841928157660000 z - 14593798054836000 z^2 - 3284195556096000 z^3 + 2001615011020800 z^4 - 201335793254400 z^5 + 8819195248640 z^6 - 199850196992 z^7 + 2147483648 z^8) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(758158082589600 Sqrt[2] z^(13/4))










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