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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=-19/4, b1`>=-11/2 > For fixed z and a1=-19/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.9384.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(1/2), 23/4}, z] == ((2 Sqrt[z] (-9290065422763125 - 6134392406142000 z + 1176626715264000 z^2 - 257449947955200 z^3 + 1381571798630400 z^4 + 2630583425433600 z^5 - 3160284919234560 z^6 + 362956948766720 z^7 - 10088878178304 z^8 + 68719476736 z^9) BesselI[-(1/4), Sqrt[z]]^2 + (27870196268289375 + 60872047722486000 z - 5490924671232000 z^2 + 2027418340147200 z^3 - 600716545228800 z^4 - 1158419526451200 z^5 + 2949583554478080 z^6 - 356766827151360 z^7 + 10045928505344 z^8 - 68719476736 z^9) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (27870196268289375 + 1415629016802000 z + 549092467123200 z^2 - 643624869888000 z^3 + 1307441892556800 z^4 + 1965001487155200 z^5 - 3073360149872640 z^6 + 360461572767744 z^7 - 10071698309120 z^8 + 68719476736 z^9) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (3123421013606400 Sqrt[2] z^(17/4))










Standard Form





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MathML Form







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<apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 17 <sep /> 4 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02