Results 161 to 170 of about 18,610 (207)

A Generalization of Laguerre Polynomials

SIAM Journal on Mathematical Analysis, 1993
The authors investigate orthogonal polynomials for the inner product \[ \langle p,q\rangle= \int_ 0^ \infty {x^ \alpha e^{-x}\over \Gamma(\alpha+1)} p(x)q(x) dx+Mp(0)q(0) + Np'(0) q'(0), \] thereby generalizing the Laguerre polynomials \((M=N=0)\) and Koornwinder's Laguerre-type polynomials \((N=0)\).
Koekoek, R., Meijer, H. G.
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Laguerre-type BVP and generalized Laguerre polynomials

Integral Transforms and Special Functions, 2006
The Laguerre-type BVP is the counterpart of the canonical BVP of parabolic, hyperbolic and elliptic types in the half-plane obtained by substituting the derivative operator D x with the Laguerre derivative D L : = D x x D x , (or its generalizations).
MAROSCIA G, RICCI, Paolo Emilio
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Laguerre Polynomials

2022
Bipin Singh Koranga   +2 more
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Laguerre polynomials and derangements

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
Consider a sequence of n = n1 + … + nk objects of k distinct types such that there are ni objects of type i, i = 1, …, k. A derangement of this sequence is a permutation such that no object is in a position which was occupied by an object of the same type.
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