Search for dissertations about: "Meixner-Pollaczek polynomial"

Found 2 swedish dissertations containing the words Meixner-Pollaczek polynomial.

  2. 1. The Symmetric Meixner-Pollaczek polynomials

    Author : Tsehaye Araaya; Sten Kaijser; Svante Janson; Hjalmar Rosengren; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Meixner-Pollaczek polynomial; Orthogonal polynomial; Polynomial operator; Inner product; Umbral calculus; Sheffer polynomial; Convolution type polynomial; Connection and linearization problem; 33C45; 05A40; 33D45; Matematisk analys; Mathematical analysis; Analys; matematik; Mathematics;

    Abstract : The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by pn(λ)(x) instead of the standard notation pn(λ) (x/2, π/2), where λ > 0. READ MORE

  4. 2. Reordering in Noncommutative Algebras, Orthogonal Polynomials and Operators

    Author : John Musonda; Sergei Silvestrov; Sten Kaijser; Johan Richter; Viktor Abramov; Mälardalens högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : The main object studied in this thesis is the multi-parametric family of unital associative complex algebras generated by the element $Q$ and the finite or infinite set $\{S_j\}_{j\in J}$ of elements satisfying the commutation relations $S_jQ=\sigma_j(Q)S_j$, where $\sigma_j$ is a polynomial for all $j\in J$. A concrete representation is given by the operators $Q_x(f)(x)=xf(x)$ and $\alpha_{\sigma_j}(f)(x)=f(\sigma_j(x))$ acting on polynomials or other suitable functions. READ MORE