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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=-15/4, b1`>=-11/2 > For fixed z and a1=-15/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.a838.01









  


  










Input Form





HypergeometricPFQ[{-(15/4)}, {-(3/2), 19/4}, z] == ((2 Sqrt[z] (278604451125 + 173675502000 z - 32691859200 z^2 + 69093273600 z^3 + 49058611200 z^4 + 22507683840 z^5 - 9479127040 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]]^2 - (835813353375 + 1794646854000 z - 203934931200 z^2 + 69189120000 z^3 + 50326732800 z^4 + 17034117120 z^5 - 9311354880 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-835813353375 - 11578366800 z - 43070227200 z^2 + 77704704000 z^3 + 51476889600 z^4 + 20242759680 z^5 - 9412018176 z^6 + 268435456 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (147220070400 Sqrt[2] z^(13/4))










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