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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=5, a2>=5 > For fixed z and a1=5, a2=11/2, b1>=-11/2 > For fixed z and a1=5, a2=11/2, b1=-11/2





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









  


  










Input Form





HypergeometricPFQ[{5, 11/2}, {-(11/2), -(7/2)}, z] == (1/3094331625) (3094331625 + 4420473750 z + 7662154500 z^2 + 25540515000 z^3 + 347351004000 z^4 - 7919602891200 z^5 + 184790734128000 z^6 + 1631844329068800 z^7 + 3510965929363200 z^8 + 3321019082304000 z^9 + 1695467133803520 z^10 + 518393656166400 z^11 + 100736468582400 z^12 + 12870586552320 z^13 + 1098475499520 z^14 + 62617729536 z^15 + 2340149760 z^16 + 54733824 z^17 + 722944 z^18 + 4096 z^19) + (1/3094331625) (256 E^z Sqrt[Pi] (2030667408000 z^(13/2) + 10424092694400 z^(15/2) + 18323787081600 z^(17/2) + 15601141987200 z^(19/2) + 7486051557600 z^(21/2) + 2200997383200 z^(23/2) + 416762078040 z^(25/2) + 52309386360 z^(27/2) + 4408904115 z^(29/2) + 249067665 z^(31/2) + 9246720 z^(33/2) + 215208 z^(35/2) + 2832 z^(37/2) + 16 z^(39/2)) Erf[Sqrt[z]])










Standard Form





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MathML Form







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type='integer'> 18323787081600 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 17 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 10424092694400 </cn> <apply> <power /> <ci> z </ci> <cn type='rational'> 15 <sep /> 2 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2030667408000 </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> </annotation-xml> </semantics> </math>










Rule Form





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





2007-05-02