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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/07.22.03.8424.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {7/2, 23/4}, z] == ((2 Sqrt[z] (43693083337700671875 - 47937554290505880000 z + 575250651486070560000 z^2 + 915573261841433395200 z^3 + 3695333765796642816000 z^4 - 1581137250479190835200 z^5 + 161954029379864494080 z^6 - 5962905916129935360 z^7 + 89670529069350912 z^8 - 547831668539392 z^9 + 1099511627776 z^10) BesselI[-(1/4), Sqrt[z]]^2 - (131079250013102015625 + 55927146672256860000 z + 1365493970699258400000 z^2 + 1774647480633598771200 z^3 + 2922027276142382284800 z^4 - 1488970378717220044800 z^5 + 158371630188582666240 z^6 - 5907769230517862400 z^7 + 89329981112451072 z^8 - 547144473772032 z^9 + 1099511627776 z^10) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-131079250013102015625 + 223708586689027440000 z + 1025395473372971500800 z^2 + 1433759301697779302400 z^3 + 3353837055921812275200 z^4 - 1542822786091922227200 z^5 + 160497342488311234560 z^6 - 5940700256604782592 z^7 + 89534000648945664 z^8 - 547556790632448 z^9 + 1099511627776 z^10) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(4668622288214556672000 Sqrt[2] z^(17/4))










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