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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.afza.01









  


  










Input Form





HypergeometricPFQ[{21/4}, {-(9/2), 23/4}, z] == -((209 (-2 Sqrt[z] (213530411469375 + 247112671806000 z + 56863314144000 z^2 + 6149109657600 z^3 + 408717557760 z^4 + 21092106240 z^5 + 721420288 z^6) BesselI[-(1/4), Sqrt[z]]^2 + (640591234408125 + 1717477039278000 z + 610611988896000 z^2 + 88156247961600 z^3 + 7136472268800 z^4 + 402228510720 z^5 + 18270388224 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 30 Sqrt[z] (42706082293875 + 23392160391600 z + 4687056541440 z^2 + 479237713920 z^3 + 31068979200 z^4 + 1571815424 z^5 + 50331648 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (250274119680 Sqrt[2] z^(17/4)))










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