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variants of this functions
LaguerreL




Mathematica Notation

Traditional Notation









Hypergeometric Functions > LaguerreL[nu,lambda,z] > Operations > Orthogonality, completeness, and Fourier expansions





http://functions.wolfram.com/07.03.25.0005.01









  


  








Input Form





Integrate[(Sqrt[m!/Gamma[\[Lambda] + m + 1]] t^(\[Lambda]/2) Exp[-(t/2)] LaguerreL[m, \[Lambda], t]) (Sqrt[n!/Gamma[\[Lambda] + n + 1]] t^(\[Lambda]/2) Exp[-(t/2)] LaguerreL[n, \[Lambda], t]), {t, 0, Infinity}] == KroneckerDelta[n, m] /; Re[\[Lambda]] > -1








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