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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`=11/2





http://functions.wolfram.com/07.22.03.8489.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {11/2, -(9/4)}, -z] == ((-4 z (-10833559295068125 - 1604971747417500 z - 531115277616000 z^2 - 631854013824000 z^3 + 415191888691200 z^4 - 127375500902400 z^5 + 55332726374400 z^6 + 10475987271680 z^7 + 316753838080 z^8 + 2147483648 z^9) BesselJ[-(1/4), Sqrt[z]]^2 + 4 Sqrt[z] (-32500677885204375 + 1375690069215000 z - 354629233728000 z^2 - 480397889664000 z^3 + 253974616473600 z^4 - 73855873843200 z^5 + 24646149734400 z^6 + 5140811612160 z^7 + 157705830400 z^8 + 1073741824 z^9) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, Sqrt[z]] + (97502033655613125 - 22698886142047500 z + 885226653234000 z^2 + 1205878943808000 z^3 + 3108317383987200 z^4 - 1818251388518400 z^5 + 550638216806400 z^6 - 211334033571840 z^7 - 41590550691840 z^8 - 1264867868672 z^9 - 8589934592 z^10) BesselJ[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(1386032899680000 Sqrt[2] z^(15/4))










Standard Form





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MathML Form







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<cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 127375500902400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 5 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 415191888691200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 631854013824000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 3 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 531115277616000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1604971747417500 </cn> <ci> z </ci> </apply> </apply> <cn type='integer'> -10833559295068125 </cn> </apply> <apply> <power /> <apply> <ci> BesselJ </ci> 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Rule Form





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





2007-05-02