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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-15/4





http://functions.wolfram.com/07.22.03.7468.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(15/4), 15/4}, z] == (1/(5898240 z^(11/4))) ((16 E^(2 Sqrt[z]) z^(3/4) (-4729725 - 2286900 z - 439200 z^2 + 181696 z^3 + 7168 z^4) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-14189175 + 28378350 Sqrt[z] - 31185000 z + 24532200 z^(3/2) - 16178400 z^2 + 9737280 z^(5/2) - 3951360 z^3 - 201600 z^(7/2) + 1290240 z^4 - 634880 z^(9/2) + 65536 z^5 + 32768 z^(11/2)) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (14189175 + 28378350 Sqrt[z] + 31185000 z + 24532200 z^(3/2) + 16178400 z^2 + 9737280 z^(5/2) + 3951360 z^3 - 201600 z^(7/2) - 1290240 z^4 - 634880 z^(9/2) - 65536 z^5 + 32768 z^(11/2)) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<power /> <ci> z </ci> <cn type='rational'> 5 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 16178400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 24532200 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 31185000 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 28378350 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 14189175 </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