LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS

Lytvynov E; Rodionova I

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LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS

机译：正交多项式的自由混合类的降落和增长算子

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摘要

We compare some properties of the lowering and raising operators for the classical and free classes of Meixner polynomials on the real line.

机译：我们在实线上比较了Meixner多项式的经典类和自由类的降低和升高算子的一些性质。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2009年第3期|共13页
作者
Lytvynov E; Rodionova I;
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正文语种 eng
中图分类物理学;
关键词
Free Meixner class of orthogonal polynomials; Meixner class of orthogonal polynomials;

机译：Free Meixner类的正交多项式;Meixner类的正交多项式;

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专利

1. LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS [J] . Lytvynov E, Rodionova I Infinite dimensional analysis, quantum probability, and related topics . 2009,第3期

机译：正交多项式的自由混合类的降落和增长算子
2. Raising and lowering operators and their factorization for generalized orthogonal polynomials of hypergeometric type on homogeneous and non-homogeneous lattices [J] . Lorente M. Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2003,第1期

机译：齐次和非齐次格上超几何型广义正交多项式的升降算符及其因式分解。
3. Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator [J] . Aloui B., Marcellán F., Sfaxi R. Integral transforms and special functions . 2013,第7a9期

机译：关于归纳Laguerre算子的降算子的经典正交多项式
4. More on algebraic properties of the discrete Fourier transform raising and lowering operators [C] . Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Juan Loreto-Hernandez International Conference of Numerical Analysis and Applied Mathematics . 2019

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5. Estimates of the maximal Cesàro operators of the weighted orthogonal polynomial expansions in several variables [D] . Ye, Wenrui. 2013

机译：若干变量中加权正交多项式扩展的最大CESORO算子的估计
6. Coclosure operators and chromatic polynomials. [O] . N Ray, W Schmitt 1990

机译：共闭运算符和色多项式。
7. LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS [O] . Lytvynov, Eugene 2009

机译：降低和提高正交多项式的免费mEIXNER类的运算符
8. Lowering and Raising Operators for the Orthogonal Group in a Canonical Group Chain with the Aid of Their Graphs [R] . Pang, S. C., Hecht, K. T. 1966

机译：用图的辅助降低和提升正则群链中正交群的算子

LOWERING AND RAISING OPERATORS FOR THE FREE MEIXNER CLASS OF ORTHOGONAL POLYNOMIALS

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