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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`=3/2





http://functions.wolfram.com/07.22.03.a7rb.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {3/2, 21/4}, -z] == ((2 Sqrt[z] (17695362710025 + 32558367441600 z + 26147260339200 z^2 + 1004025673728000 z^3 + 1644064063488000 z^4 + 473419619500032 z^5 + 34164921335808 z^6 + 739808116736 z^7 + 4294967296 z^8) BesselJ[1/4, Sqrt[z]]^2 - 3 (29492271183375 + 75236227466400 z + 50618414246400 z^2 + 87604496179200 z^3 + 1275729857740800 z^4 + 444589544570880 z^5 + 33523931021312 z^6 + 736050020352 z^7 + 4294967296 z^8) BesselJ[1/4, Sqrt[z]] BesselJ[5/4, Sqrt[z]] + 2 Sqrt[z] (88476813550125 + 36958146825600 z + 44249209804800 z^2 + 150179136307200 z^3 + 1320503780966400 z^4 + 448511229296640 z^5 + 33614293106688 z^6 + 736586891264 z^7 + 4294967296 z^8) BesselJ[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(956797393305600 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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</apply> <apply> <power /> <apply> <ci> BesselJ </ci> <cn type='rational'> 1 <sep /> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4294967296 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 736050020352 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 33523931021312 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 444589544570880 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1275729857740800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 87604496179200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 50618414246400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 75236227466400 </cn> <ci> z </ci> </apply> <cn type='integer'> 29492271183375 </cn> </apply> <apply> <ci> BesselJ </ci> <cn type='rational'> 5 <sep /> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <apply> <ci> BesselJ </ci> <cn type='rational'> 1 <sep /> 4 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 4294967296 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02