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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=11/2, a2>=11/2 > For fixed z and a1=11/2, a2=6, b1>=-11/2 > For fixed z and a1=11/2, a2=6, b1=-9/2





http://functions.wolfram.com/07.25.03.ansd.01









  


  










Input Form





HypergeometricPFQ[{11/2, 6}, {-(9/2), -(3/2)}, -z] == (1/40186125) (40186125 - 196465500 z + 2554051500 z^2 + 40864824000 z^3 + 347351004000 z^4 + 5279735260800 z^5 - 32478371452800 z^6 + 53607275366400 z^7 - 40438704902400 z^8 + 16762305369600 z^9 - 4186700582400 z^10 + 662856667200 z^11 - 68252788800 z^12 + 4598485920 z^13 - 199831680 z^14 + 5362944 z^15 - 80384 z^16 + 512 z^17) - (1/40186125) ((16 Sqrt[Pi] (799959888000 z^(11/2) - 3092152644000 z^(13/2) + 4292092476000 z^(15/2) - 2957468598000 z^(17/2) + 1162004130000 z^(19/2) - 280558432350 z^(21/2) + 43431907050 z^(23/2) - 4403653695 z^(25/2) + 293488650 z^(27/2) - 12654600 z^(29/2) + 337680 z^(31/2) - 5040 z^(33/2) + 32 z^(35/2)) Erfi[Sqrt[z]])/E^z)










Standard Form





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MathML Form







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</apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4292092476000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3092152644000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 13 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 799959888000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <ci> Erfi </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02