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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-15/4





http://functions.wolfram.com/07.22.03.7762.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(15/4), 23/4}, z] == (1/(503316480 z^(19/4))) ((19 (16 E^(2 Sqrt[z]) z^(3/4) (-39800635875 - 12932419500 z - 1978376400 z^2 - 190270080 z^3 - 14242560 z^4 + 73728 z^5 + 65536 z^6) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-119401907625 + 238803815250 Sqrt[z] - 243486243000 z + 168567399000 z^(3/2) - 89221532400 z^2 + 38594556000 z^(5/2) - 14270256000 z^3 + 4670265600 z^(7/2) - 1399507200 z^4 + 400458240 z^(9/2) - 109025280 z^5 + 22364160 z^(11/2) - 1966080 z^(13/2) + 524288 z^7) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (119401907625 + 238803815250 Sqrt[z] + 243486243000 z + 168567399000 z^(3/2) + 89221532400 z^2 + 38594556000 z^(5/2) + 14270256000 z^3 + 4670265600 z^(7/2) + 1399507200 z^4 + 400458240 z^(9/2) + 109025280 z^5 + 22364160 z^(11/2) - 1966080 z^(13/2) - 524288 z^7) Erfi[Sqrt[2] z^(1/4)]))/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 168567399000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 243486243000 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 238803815250 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 119401907625 </cn> </apply> <apply> <ci> Erfi </ci> <apply> <times /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 4 </cn> </apply> </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