The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Let $$\left\{ {\hat P_n \left( {z,d\alpha } \right)} \right\}$$ be a system of orthonormal polynomials on the unit circle U with respect to a measure α and let $$\left\{ {\hat P_n \left( {z,d\beta } \right)} \right\}$$ be a system of orthonormal polynomials on U with respect to β (β=α+εδ(t), where t≠U, ε>0, and δ(t) the unit measure supported at z=t). If (en (α))−1/2 and (en (β))−1/2 are their...
In this paper we study the behaviour of the quotient en(α)/en(β), where (en(α))−1/2 and (en(β))−1/2 are the leading coefficients of the orthonormal polynomials $$\hat P_n \left( {z,d\alpha } \right)$$ and $$\hat P_n \left( {z,d\beta } \right)$$ on the unit circle U with respect to the measures α and β=α + ɛδ(t) (t∈U, ɛ>0, δ(t) the unit measure supported at z=t). By proving that it is possible...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.