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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.anbo.01









  


  










Input Form





HypergeometricPFQ[{5, 11/2}, {-(11/2), -(11/2)}, z] == (1/306338830875) (306338830875 + 278489846250 z + 268175407500 z^2 + 383107725000 z^3 + 1042053012000 z^4 + 7919602891200 z^5 + 554372202384000 z^6 + 31755576926304000 z^7 + 183671701008364800 z^8 + 360625157890905600 z^9 + 338382713469588480 z^10 + 178261605368985600 z^11 + 57735915993907200 z^12 + 12150668593889280 z^13 + 1718956157829120 z^14 + 166586283085824 z^15 + 11128483860480 z^16 + 509030307840 z^17 + 15576139776 z^18 + 303329280 z^19 + 3383296 z^20 + 16384 z^21) + (1/306338830875) (1024 E^z Sqrt[Pi] (4061334816000 z^(13/2) + 70667225798400 z^(15/2) + 284460668553600 z^(17/2) + 469037229091200 z^(19/2) + 398916753681600 z^(21/2) + 197875650772800 z^(23/2) + 61638691292640 z^(25/2) + 12635466449760 z^(27/2) + 1755132402870 z^(29/2) + 167884911810 z^(31/2) + 11108959785 z^(33/2) + 504561393 z^(35/2) + 15357552 z^(37/2) + 297864 z^(39/2) + 3312 z^(41/2) + 16 z^(43/2)) Erf[Sqrt[z]])










Standard Form





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MathML Form







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Rule Form





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





2007-05-02