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





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









  


  










Input Form





HypergeometricPFQ[{-(3/4)}, {-(3/2), 23/4}, z] == (1/(201326592 Sqrt[2] z^(17/4))) (19 (2 Sqrt[z] (-6030399375 - 5476751280 z - 106928640 z^2 - 13099008 z^3 + 7405568 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]]^2 + (18091198125 + 43997793840 z + 5881075200 z^2 + 6709248 z^3 - 8060928 z^4 - 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (18091198125 + 5403237840 z + 235243008 z^2 - 10838016 z^3 + 7667712 z^4 + 1048576 z^5) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)










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