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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=-13/4, b1`>=-11/2 > For fixed z and a1=-13/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.a8dy.01









  


  










Input Form





HypergeometricPFQ[{-(13/4)}, {-(11/2), 21/4}, z] == -((17 (2 Sqrt[z] (-2631309897741525 + 2961737373394800 z + 63268088083200 z^2 + 8503704760320 z^3 + 7509960622080 z^4 + 646834028544 z^5 + 21088960512 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]]^2 - 3 (-4385516496235875 + 8054818464092400 z + 1286451124358400 z^2 + 25397942169600 z^3 + 8108838420480 z^4 + 665683230720 z^5 + 21323841536 z^6 + 268435456 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 2 Sqrt[z] (-13156549488707625 - 3902850183632400 z - 189804264249600 z^2 + 14842953216000 z^3 + 8016654827520 z^4 + 662914990080 z^5 + 21290287104 z^6 + 268435456 z^7) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(214859765514240 Sqrt[2] z^(15/4)))










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