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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=-21/4, b1`>=-11/2 > For fixed z and a1=-21/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.8604.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), 11/4}, z] == (4 z^(1/4) (3271217551875 + 4361623402500 Sqrt[z] - 1395719488800 z + 3090672547200 z^(3/2) - 269980542720 z^2 + 905871375360 z^(5/2) - 33365606400 z^3 + 122025738240 z^(7/2) - 2663055360 z^4 + 9969598464 z^(9/2) - 169869312 z^5 + 629145600 z^(11/2) - 16777216 z^6 + 67108864 z^(13/2) + E^(4 Sqrt[z]) (-3271217551875 + 4361623402500 Sqrt[z] + 1395719488800 z + 3090672547200 z^(3/2) + 269980542720 z^2 + 905871375360 z^(5/2) + 33365606400 z^3 + 122025738240 z^(7/2) + 2663055360 z^4 + 9969598464 z^(9/2) + 169869312 z^5 + 629145600 z^(11/2) + 16777216 z^6 + 67108864 z^(13/2))) + E^(2 Sqrt[z]) Sqrt[2 Pi] (-3271217551875 + 4885018210800 z + 11165755910400 z^2 + 3502982246400 z^3 + 479040307200 z^4 + 39305871360 z^5 + 2466250752 z^6 + 268435456 z^7) Erf[Sqrt[2] z^(1/4)] - E^(2 Sqrt[z]) Sqrt[2 Pi] (-3271217551875 + 4885018210800 z + 11165755910400 z^2 + 3502982246400 z^3 + 479040307200 z^4 + 39305871360 z^5 + 2466250752 z^6 + 268435456 z^7) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z])/(60881161420800 z^(7/4))










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'> 4885018210800 </cn> <ci> z </ci> </apply> <cn type='integer'> -3271217551875 </cn> </apply> <apply> <ci> Erf </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> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 268435456 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02