搜索结果: 1-5 共查到“线性算子理论 q-polynomials”相关记录5条 . 查询时间(0.468 秒)
Some integrals and series involving the Gegenbauer polynomials and the Legendre functions on the cut (-1,1)
Special functions Legendre functions Gegenbauer polynomials Fourier expansions
2011/9/6
Abstract: We use the recent findings of Cohl [arXiv:1105.2735] and evaluate the principal and the residual values of the integral $\int_{-1}^{1}\mathrm{d}t\:(1-t^{2})^{\lambda-1/2}(x-t)^{-\kappa-1/2}C...
Standard $q$-Racah-Krall polynomials
Krall-type polynomials second order linear difference equation q-polynomials basic hypergeometric series
2011/9/5
Abstract: In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the \textit{standard} $q$-Racah polynomials are introduced. Several algebraic ...
On the orthogonality of q-classical polynomials of the Hahn class II
q-polynomials orthogonal polynomials on q-linear lattices q-Hahn class Classical Analysis and ODEs
2011/9/5
Abstract: In this article, the study of the orthogonality properties of $q$-polynomials of the Hahn class started in the initial article by R. \'Alvarez-Nodarse, R. Sevinik-Ad{\i}g\"uzel, and H. Ta\c{...
On the orthogonality of q-classical polynomials of the Hahn class
q-polynomials orthogonal polynomials on q-linear lattices q-Hahn class Classical Analysis and ODEs
2011/9/5
Abstract: The central idea behind this article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the $q$-hypergeometric difference equation on a $q$-linear lat...
Asymptotic zero distribution of a class of hypergeometric polynomials
Asymptotic zero distribution Hypergeometric polynomials Jacobi polynomials
2011/9/2
Abstract: We prove that the zeros of ${}_2F_1(-n,\frac{n+1}{2};\frac{n+3}{2};z)$ asymptotically approach the section of the lemniscate $\{z: |z(1-z)^2|=4/27; \textrm{Re}(z)>1/3\}$ as $n\rightarrow \in...