Semi-classical linear functionals of class three: the symmetric case |
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| Authors: | F Marcellán M Sghaier M Zaatra |
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| Institution: | 1. Departamento de Matemáticas , Universidad Carlos III de Madrid , Avenida de la Universidad 30, 28911 , Leganés , Spain pacomarc@ing.uc3m.es;3. Institut Supérieur d'Informatique de Medenine , Medenine , 4119 , Tunisia;4. Institut Supérieur de Gestion de Gabès , Avenue Habib Jilani, Gabès , 6002 , Tunisia |
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| Abstract: | In this paper, we obtain all the symmetric semi-classical linear functionals of class three taking into account the irreducible expression of the corresponding Pearson equation. We focus our attention on their integral representations. Thus, some linear functionals very well known in the literature, associated with perturbations of semi-classical linear functionals of class one at most, appear as well as new linear functionals which have not been studied. |
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| Keywords: | orthogonal polynomials semi-classical linear functionals integral representations |
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