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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=4, a2>=4 > For fixed z and a1=4, a2=11/2, b1>=-11/2 > For fixed z and a1=4, a2=11/2, b1=-9/2





http://functions.wolfram.com/07.25.03.amal.01









  


  










Input Form





HypergeometricPFQ[{4, 11/2}, {-(9/2), -(9/2)}, -z] == (1/2531725875) (2531725875 - 2750517000 z + 3648645000 z^2 - 8756748000 z^3 + 57891834000 z^4 - 3519823507200 z^5 + 172476163641600 z^6 - 843389366400000 z^7 + 1384655212281600 z^8 - 1071661491763200 z^9 + 457746413230080 z^10 - 117638826762240 z^11 + 19110847795200 z^12 - 2013354393600 z^13 + 138427146240 z^14 - 6124683264 z^15 + 167022592 z^16 - 2539520 z^17 + 16384 z^18) - (1/2531725875) ((2048 Sqrt[Pi] (-12029472000 z^(11/2) + 181367424000 z^(13/2) - 624884803200 z^(15/2) + 869797958400 z^(17/2) - 614596248000 z^(19/2) + 248536512000 z^(21/2) - 61687332000 z^(23/2) + 9792601920 z^(25/2) - 1015479990 z^(27/2) + 69047400 z^(29/2) - 3030735 z^(31/2) + 82170 z^(33/2) - 1244 z^(35/2) + 8 z^(37/2)) Erfi[Sqrt[z]])/E^z)










Standard Form





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MathML Form







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</cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12029472000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 11 <sep /> 2 </cn> </apply> </apply> </apply> </apply> <apply> <ci> Erfi </ci> <apply> <power /> <ci> z </ci> <cn type='rational'> 1 <sep /> 2 </cn> </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