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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=7/2





http://functions.wolfram.com/07.22.03.8407.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {7/2, 5/4}, -z] == (Sqrt[Pi] z^(9/4) (168131152814625 + 413861299236000 z + 139113041760000 z^2 + 12847380480000 z^3 + 411116175360 z^4 + 4775215104 z^5 + 16777216 z^6) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 ((-Sqrt[z]) (523309248000 + 1953687859200 z + 19974691511775 z^2 + 8027343585360 z^3 + 779939550720 z^4 + 25418833920 z^5 + 297467904 z^6 + 1048576 z^7) Cos[2 Sqrt[z]] + 4 (65413656000 + 156992774400 z + 7814751436800 z^2 + 24508806936075 z^3 + 8553823747920 z^4 + 798263262720 z^5 + 25639231488 z^6 + 298254336 z^7 + 1048576 z^8) Sin[2 Sqrt[z]]))/ (245593700352000 z^(5/2))










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