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





http://functions.wolfram.com/07.22.03.7094.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(23/4), 15/4}, z] == (1/(40273920 z^(11/4))) ((16 E^(2 Sqrt[z]) z^(3/4) (-241215975 - 89189100 z - 16099920 z^2 - 272256 z^3 + 180480 z^4 + 4096 z^5) + E^(4 Sqrt[z]) Sqrt[2 Pi] (-723647925 + 1447295850 Sqrt[z] - 1508106600 z + 1086485400 z^(3/2) - 616215600 z^2 + 298378080 z^(5/2) - 121080960 z^3 + 34594560 z^(7/2) - 3144960 z^4 - 2496000 z^(9/2) + 1357824 z^5 - 319488 z^(11/2) + 32768 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (723647925 + 1447295850 Sqrt[z] + 1508106600 z + 1086485400 z^(3/2) + 616215600 z^2 + 298378080 z^(5/2) + 121080960 z^3 + 34594560 z^(7/2) + 3144960 z^4 - 2496000 z^(9/2) - 1357824 z^5 - 319488 z^(11/2) - 32768 z^6) Erfi[Sqrt[2] z^(1/4)])/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1086485400 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1508106600 </cn> <ci> z </ci> </apply> <apply> <times /> <cn type='integer'> 1447295850 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> <cn type='integer'> 723647925 </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