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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`=7/2





http://functions.wolfram.com/07.22.03.8977.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {7/2, -(1/4)}, -z] == (1/(8111293344 z^(5/2))) (-2 Sqrt[z] (434188755 + 526289400 z - 1395128448 z^2 + 14368886784 z^3 + 5636160432 z^4 + 456997632 z^5 + 10653696 z^6 + 65536 z^7) Cos[2 Sqrt[z]] - 4 Sqrt[Pi] z^(15/4) (15277805361 + 5718009024 z + 458970624 z^2 + 10665984 z^3 + 65536 z^4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] - (-434188755 + 52628940 z - 1804420800 z^2 + 5646993408 z^3 + 2662467192 z^4 + 224606592 z^5 + 5302272 z^6 + 32768 z^7) Sin[2 Sqrt[z]])










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