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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=1/4, b1`>=-11/2 > For fixed z and a1=1/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.abhu.01









  


  










Input Form





HypergeometricPFQ[{1/4}, {-(11/2), 17/4}, z] == (1/(62008590336 z^(13/4))) ((13 (4 z^(1/4) (665379532125 + 887172709500 Sqrt[z] + 608347000800 z + 270376444800 z^(3/2) + 82566570240 z^2 + 17700387840 z^(5/2) + 2393899008 z^3 + 205520896 z^(7/2) + 8388608 z^4 + E^(4 Sqrt[z]) (665379532125 - 887172709500 Sqrt[z] + 608347000800 z - 270376444800 z^(3/2) + 82566570240 z^2 - 17700387840 z^(5/2) + 2393899008 z^3 - 205520896 z^(7/2) + 8388608 z^4)) + 504735 E^(2 Sqrt[z]) Sqrt[2 Pi] (-1318275 + 200880 z - 20736 z^2 + 4096 z^3) Erf[Sqrt[2] z^(1/4)] + 504735 E^(2 Sqrt[z]) Sqrt[2 Pi] (-1318275 + 200880 z - 20736 z^2 + 4096 z^3) Erfi[Sqrt[2] z^(1/4)]))/ E^(2 Sqrt[z]))










Standard Form





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MathML Form







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</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