%0 Journal Article
%T A Class of Non-Symmetric Semi-Classical Linear Forms
%A Zaatra Mohamed
%J -
%D 2014
%R http://dx.doi.org/10.3968/4630 http://dx.doi.org/10.3968/pdf_10
%X We show that if v is a regular semi-classical form (linear functional), then the form u defined by (x ˋ 而 2 )考u = ˋ竹v and 考(x ˋ 而 )u = 0 where 考u is the even part of u, is also regular and semi-classical form for every complex 竹 except for a discrete set of numbers depending on v. We give explicitly the recurrence coefficients and the structure relation coefficients of the orthogonal polynomials sequence associated with u and the class of the form u knowing that of v. We conclude with illustrative examples.
%K Orthogonal polynomials
%K Semi-classical linear forms
%K Integral rep-resentation
%K Structure relation.
%U http://cscanada.net/index.php/pam/article/view/4630