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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/07.22.03.8562.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(11/2), 17/4}, z] == ((-2 Sqrt[z] (83376713031987375 - 110110198797799200 z + 2582524432857600 z^2 + 13490237021184000 z^3 + 2452835008512000 z^4 + 190887147601920 z^5 + 8432463642624 z^6 + 236760072192 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]]^2 + 3 (138961188386645625 - 282333843071280000 z + 20400897047731200 z^2 + 15996814073856000 z^3 + 2634172357017600 z^4 + 198643286016000 z^5 + 8645970493440 z^6 + 240518168576 z^7 + 4294967296 z^8) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (416883565159936875 + 42350076460692000 z + 16029276251788800 z^2 + 15550570261094400 z^3 + 2605118423040000 z^4 + 197457503846400 z^5 + 8614261555200 z^6 + 239981297664 z^7 + 4294967296 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (20545965077299200 Sqrt[2] z^(11/4))










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