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Subordination by orthogonal martingales in $L^{p}$ and zeros of Laguerre polynomials
orthogonal martingales $L^{p}$ zeros of Laguerre polynomials
2011/1/18
In this paper we address the question of finding the best Lp-norm constant for martingale transforms with one-sided orthogonality. Let O = (,B, P)be a probability space with filtration B generated by ...
Direct spreading measures of Laguerre polynomials
Orthogonal polynomials Laguerre polynomials spreading lengths
2010/11/26
The direct spreading measures of the Laguerre polynomials L( )n (x), which quantify the distribution of its Rakhmanov probability density n, (x) = 1 d2 n x e−x h L( ) n (x)
i2 along the positi...
Direct spreading measures of Laguerre polynomials
Orthogonal polynomials Laguerre polynomials spreading lengths
2010/10/27
The direct spreading measures of the Laguerre polynomials L( )n (x), which quantify the distribution of its Rakhmanov probability density n, (x) = 1 d2 n x e−x h L( )n (x)
i2 along the positiv...
Another set of infinitely many exceptional (X_{\ell}) Laguerre polynomials
shape invariance orthogonal polynomials
2010/4/8
We present a new set of infinitely many shape invariant potentials and the corresponding exceptional (X_{\ell}) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely...
Generalized Laguerre polynomials collocation method for solving Lane-Emden equation
Lane-Emden equation Generalized Laguerre polynomials
2010/9/14
In this paper we propose, a collocation method for solving nonlinear singular Lane-Emden equation which is a nonlinear ordinary differential equation on semi-infnite interval. This approach is based o...
Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues
Laguerre polynomials Zeros q-Laguerre polynomials Inequalities
2008/7/1
Inequalities for the Smallest Zeros of Laguerre Polynomials and their $q$-analogues.