Results 101 to 110 of about 2,343 (153)

The symmetric Meixner–Pollaczek polynomials with real parameter

open access: yesJournal of Mathematical Analysis and Applications, 2005
The symmetric Meixner-Pollaczek polynomials \(p_n^\lambda(x)\) can be determinated by the generating function \[ {{\exp (x\arctan t)}\over {(1+t^2)^\lambda}}=\sum_{n=0}^\infty p_n^\lambda(x) t^n,\quad \lambda\in\mathcal R. \] It is well known that these polynomials are orthogonal with the weight \[ \omega_\lambda(x)= { 1\over {2\pi}} \biggl| \Gamma ...
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Bounds for extreme zeros of Meixner–Pollaczek polynomials

open access: yesJournal of Approximation Theory
In this paper we consider connection formulae for orthogonal polynomials in the context of Christoffel transformations for the case where a weight function, not necessarily even, is multiplied by an even function $c_{2k}(x),k\in N_0$, to determine new lower bounds for the largest zero and upper bounds for the smallest zero of a Meixner-Pollaczek ...
A.S. Jooste, K. Jordaan
openaire   +2 more sources

Exceptional Meixner and Laguerre orthogonal polynomials

open access: yesJournal of Approximation Theory, 2014
arXiv admin note: substantial text overlap with arXiv:1309 ...
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THE POWER COLLECTION METHOD FOR CONNECTION RELATIONS: MEIXNER POLYNOMIALS. [PDF]

open access: yesJ Class Anal, 2017
Baeder MA   +3 more
europepmc   +1 more source

Approximative Properties of Special Series in Meixner Polynomials

open access: yesВладикавказский математический журнал, 2018
Построены новые специальные ряды по модифицированным полиномам Мейкснера $M_{n,N}^\alpha(x)=M_n^\alpha(Nx)$. Эти полиномы при $\alpha>-1$ образуют ортогональную с весом $\rho(Nx)$ систему на равномерной сетке $\Omega_{\delta}=\{0, \delta, 2\delta, \ldots\}$, где $\delta=1/N$, $N>0$.
openaire   +1 more source

EDDIDAT: a graphical user interface for the analysis of energy-dispersive diffraction data. [PDF]

open access: yesJ Appl Crystallogr, 2020
Apel D   +5 more
europepmc   +1 more source

On the w−Multiple Meixner Polynomials

open access: yes, 2021
In this thesis, a new family of discrete MOPs, namely ω-multiple Meixner polynomials, where ω is a positive real number is introduced. For ω-MOPs, orthogonality conditions w.r.t r (with r > 1) different Pascal distributions (Negative Binomial distributions) are used.
openaire   +1 more source

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