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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`=-9/2





http://functions.wolfram.com/07.22.03.8614.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), 21/4}, z] == ((-2 Sqrt[z] (-1083897269415835875 + 1325557393219659600 z - 113662140694502400 z^2 + 5375869444915200 z^3 + 21630749530521600 z^4 + 3961954542551040 z^5 + 340592047423488 z^6 + 18760417148928 z^7 + 811748818944 z^8 + 68719476736 z^9) BesselI[1/4, Sqrt[z]]^2 + 3 (-1806495449026393125 + 3493881308007090000 z + 171950417973734400 z^2 + 37995321485721600 z^3 + 25881150622924800 z^4 + 4297931882496000 z^5 + 358656277217280 z^6 + 19572165967872 z^7 + 871878361088 z^8 + 68719476736 z^9) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 2 Sqrt[z] (-5419486347079179375 - 1079926949747646000 z - 26229724775654400 z^2 + 27991830704947200 z^3 + 25040352205209600 z^4 + 4239970585804800 z^5 + 355668590592000 z^6 + 19436874498048 z^7 + 863288426496 z^8 + 68719476736 z^9) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/(33400927184486400 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