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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=-19/4





http://functions.wolfram.com/07.22.03.7428.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(19/4), 15/4}, z] == (1/(56033280 z^(11/4))) ((-16 E^(2 Sqrt[z]) z^(3/4) (70945875 + 32432400 z + 6606720 z^2 - 1413120 z^3 - 198144 z^4 + 8192 z^5) - E^(4 Sqrt[z]) Sqrt[2 Pi] (212837625 - 425675250 Sqrt[z] + 462161700 z - 356756400 z^(3/2) + 227026800 z^2 - 129729600 z^(5/2) + 55036800 z^3 - 6289920 z^(7/2) - 9434880 z^4 + 6389760 z^(9/2) - 1597440 z^5 + 65536 z^6) Erf[Sqrt[2] z^(1/4)] + Sqrt[2 Pi] (212837625 + 425675250 Sqrt[z] + 462161700 z + 356756400 z^(3/2) + 227026800 z^2 + 129729600 z^(5/2) + 55036800 z^3 + 6289920 z^(7/2) - 9434880 z^4 - 6389760 z^(9/2) - 1597440 z^5 + 65536 z^6) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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<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