Another connection between orthogonal polynomials and L-orthogonal polynomials
نویسندگان
چکیده
منابع مشابه
Symmetric Orthogonal Polynomials and the Associated Orthogonal L-polynomials
We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as an application, we derive information regarding the orthogonal polynomials associated with the weight function (1 + kx2)(l x2)~1/2, k>0.
متن کاملConnection of Semi-integer Trigonometric Orthogonal Polynomials with Szegö Polynomials
In this paper we investigate connection between semi-integer orthogonal polynomials and Szegő’s class of polynomials, orthogonal on the unit circle. We find a representation of the semi-integer orthogonal polynomials in terms of Szegő’s polynomials orthogonal on the unit circle for certain class of weight functions.
متن کاملOrthogonal Polynomials in Connection with Quantum Groups
This is a survey of interpretations of q hypergeometric orthogonal polynomials on quantum groups The rst half of the paper gives general background on Hopf algebras and quantum groups The emphasis in the rest of the paper is on the SU quantum group An interpretation of little q Jacobi polynomials as matrix elements of its irreducible representations is presented In the last two sections new res...
متن کاملConnection coefficients for Laguerre–Sobolev orthogonal polynomials
Laguerre–Sobolev polynomials are orthogonal with respect to an inner product of the form 〈p,q〉S = ∫∞ 0 p(x)q(x)x αe−x dx + λ∫∞ 0 p′(x)q′(x)dμ(x), where α > −1, λ 0, and p,q ∈ P, the linear space of polynomials with real coefficients. If dμ(x) = xαe−x dx, the corresponding sequence of monic orthogonal polynomials {Q n (x)} has been studied by Marcellán et al. (J. Comput. Appl. Math. 71 (1996) 24...
متن کاملConnection Coefficients of Orthogonal Polynomials with Applications to Classical Orthogonal Polynomials
New criteria for nonnegativity of connection coefficients between to systems of orthogonal polynomials are given. The results apply to classical orthogonal polynomials.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.07.012