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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/05.08.03.0017.01









  


  










Input Form





LaguerreL[8, \[Lambda], z] == (1/40320) (z^8 - 8 z^7 (8 + \[Lambda]) + 28 z^6 (56 + 15 \[Lambda] + \[Lambda]^2) - 56 z^5 (336 + 146 \[Lambda] + 21 \[Lambda]^2 + \[Lambda]^3) + 70 z^4 (1680 + 1066 \[Lambda] + 251 \[Lambda]^2 + 26 \[Lambda]^3 + \[Lambda]^4) - 56 z^3 (6720 + 5944 \[Lambda] + 2070 \[Lambda]^2 + 355 \[Lambda]^3 + 30 \[Lambda]^4 + \[Lambda]^5) + 28 z^2 (20160 + 24552 \[Lambda] + 12154 \[Lambda]^2 + 3135 \[Lambda]^3 + 445 \[Lambda]^4 + 33 \[Lambda]^5 + \[Lambda]^6) - 8 z (40320 + 69264 \[Lambda] + 48860 \[Lambda]^2 + 18424 \[Lambda]^3 + 4025 \[Lambda]^4 + 511 \[Lambda]^5 + 35 \[Lambda]^6 + \[Lambda]^7) + 40320 + 109584 \[Lambda] + 118124 \[Lambda]^2 + 67284 \[Lambda]^3 + 22449 \[Lambda]^4 + 4536 \[Lambda]^5 + 546 \[Lambda]^6 + 36 \[Lambda]^7 + \[Lambda]^8)










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





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