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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/07.22.03.9429.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {1/2, 19/4}, -z] == ((2 Sqrt[z] (-29492271183375 + 5656859208000 z - 2011327718400 z^2 + 377354225664000 z^3 + 1422749712384000 z^4 + 456680244510720 z^5 + 33797030543360 z^6 + 737660633088 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]]^2 - (-88476813550125 + 151792388748000 z + 63356823129600 z^2 - 37544784076800 z^3 + 1186182011289600 z^4 + 436746175119360 z^5 + 33343206850560 z^6 + 734976278528 z^7 + 4294967296 z^8) BesselJ[-(1/4), Sqrt[z]] BesselJ[3/4, 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[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(829658706739200 Sqrt[2] z^(13/4))










Standard Form





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MathML Form







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<mn> 4 </mn> </mfrac> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mo> / </mo> <mrow> <mo> ( </mo> <mrow> <mn> 829658706739200 </mn> <mo> &#8290; </mo> <msqrt> <mn> 2 </mn> </msqrt> <mo> &#8290; </mo> <msup> <mi> z </mi> <mrow> <mn> 13 </mn> <mo> / </mo> <mn> 4 </mn> </mrow> </msup> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> HypergeometricPFQ </ci> <list> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 19 <sep /> 4 </cn> </apply> </list> <list> <cn type='rational'> 1 <sep /> 2 </cn> <cn type='rational'> 19 <sep /> 4 </cn> </list> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <apply> <times /> <apply> <plus /> <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 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Rule Form





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





2007-05-02