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variants of this functions
LaguerreL






Mathematica Notation

Traditional Notation









Polynomials > LaguerreL[n,lambda,z] > Specific values > Specialized values > For fixed lambda, z





http://functions.wolfram.com/05.08.03.0018.01









  


  










Input Form





LaguerreL[9, \[Lambda], z] == (1/362880) (-z^9 + 9 z^8 (9 + \[Lambda]) - 36 z^7 (72 + 17 \[Lambda] + \[Lambda]^2) + 84 z^6 (504 + 191 \[Lambda] + 24 \[Lambda]^2 + \[Lambda]^3) - 126 z^5 (3024 + 1650 \[Lambda] + 335 \[Lambda]^2 + 30 \[Lambda]^3 + \[Lambda]^4) + 126 z^4 (15120 + 11274 \[Lambda] + 3325 \[Lambda]^2 + 485 \[Lambda]^3 + 35 \[Lambda]^4 + \[Lambda]^5) - 84 z^3 (60480 + 60216 \[Lambda] + 24574 \[Lambda]^2 + 5265 \[Lambda]^3 + 625 \[Lambda]^4 + 39 \[Lambda]^5 + \[Lambda]^6) + 36 z^2 (181440 + 241128 \[Lambda] + 133938 \[Lambda]^2 + 40369 \[Lambda]^3 + 7140 \[Lambda]^4 + 742 \[Lambda]^5 + 42 \[Lambda]^6 + \[Lambda]^7) - 9 z (362880 + 663696 \[Lambda] + 509004 \[Lambda]^2 + 214676 \[Lambda]^3 + 54649 \[Lambda]^4 + 8624 \[Lambda]^5 + 826 \[Lambda]^6 + 44 \[Lambda]^7 + \[Lambda]^8) + 362880 + 1026576 \[Lambda] + 1172700 \[Lambda]^2 + 723680 \[Lambda]^3 + 269325 \[Lambda]^4 + 63273 \[Lambda]^5 + 9450 \[Lambda]^6 + 870 \[Lambda]^7 + 45 \[Lambda]^8 + \[Lambda]^9)










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)





2001-10-29





© 1998-2014 Wolfram Research, Inc.