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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/07.22.03.8613.01









  


  










Input Form





HypergeometricPFQ[{-(21/4)}, {-(9/2), 19/4}, -z] == -((11 (Sqrt[Pi] (241052750180116875 + 95624231476410000 z + 30147540958080000 z^2 + 15006775943577600 z^3 - 17150601078374400 z^4 + 3228348438282240 z^5 - 294322364743680 z^6 + 17249662402560 z^7 - 811748818944 z^8 + 68719476736 z^9) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (80350916726705625 - 4857103821024000 z + 1414329081984000 z^2 - 1124276697169920 z^3 + 205924657397760 z^4 - 18629001216000 z^5 + 1089378189312 z^6 - 51539607552 z^7 + 4294967296 z^8) Cos[2 Sqrt[z]] + (-241052750180116875 + 161498702049048000 z + 6550576800768000 z^2 - 1447540048281600 z^3 + 226929103994880 z^4 - 19734850437120 z^5 + 1141521776640 z^6 - 54760833024 z^7 + 4294967296 z^8) Sin[2 Sqrt[z]])))/ (299243084615516160 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