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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`=-11/2





http://functions.wolfram.com/07.22.03.8554.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), 9/4}, z] == ((-2 Sqrt[z] (-7498363177305 + 6410873589120 z + 2291652760320 z^2 + 285555916800 z^3 + 18344116224 z^4 + 704643072 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]]^2 + 3 (2846107289025 + 9032851507680 z + 2574423371520 z^2 + 302757396480 z^3 + 18985451520 z^4 + 719323136 z^5 + 16777216 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (8538321867075 + 8489530969920 z + 2526406122240 z^2 + 300058214400 z^3 + 18889113600 z^4 + 717225984 z^5 + 16777216 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (9206027550720 Sqrt[2] z^(3/4))










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