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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=11/2, a2>=11/2 > For fixed z and a1=11/2, a2=6, b1>=-11/2 > For fixed z and a1=11/2, a2=6, b1=-11/2





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









  


  










Input Form





HypergeometricPFQ[{11/2, 6}, {-(11/2), -(5/2)}, z] == (1/2210236875) (2210236875 + 5304568500 z + 17878360500 z^2 + 204324120000 z^3 - 3126159036000 z^4 + 26398676304000 z^5 - 406539615081600 z^6 - 2587031598412800 z^7 - 4482230927328000 z^8 - 3598204614681600 z^9 - 1609717608576000 z^10 - 440724946636800 z^11 - 77898630297600 z^12 - 9160257254400 z^13 - 726241858560 z^14 - 38743401600 z^15 - 1363342848 z^16 - 30178304 z^17 - 378880 z^18 - 2048 z^19) - (1/2210236875) (64 E^z Sqrt[Pi] (15568450128000 z^(13/2) + 62273800512000 z^(15/2) + 90663327216000 z^(17/2) + 66402894096000 z^(19/2) + 28123855452000 z^(21/2) + 7435145163600 z^(23/2) + 1283724703800 z^(25/2) + 148524674760 z^(27/2) + 11640123495 z^(29/2) + 615788250 z^(31/2) + 21535080 z^(33/2) + 474480 z^(35/2) + 5936 z^(37/2) + 32 z^(39/2)) Erf[Sqrt[z]])










Standard Form





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MathML Form







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<ci> z </ci> <cn type='rational'> 15 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 15568450128000 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 13 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <ci> Erf </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