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Semi-Classical Linear Functionals and Integral Representation
Journal article   Peer reviewed

Semi-Classical Linear Functionals and Integral Representation

M. J. Atia
Integral transforms and special functions, Vol.14(1), pp.59-67
02/2003
DOI: https://doi.org/10.1080/10652460304542

Abstract

Associated Linear Functionals Of Order p Integer Differential Equation Integral Representation Orthogonal Polynomials Second Degree Linear Functionals Semi-classical Linear Functionals
In this paper, we give an example which proves that the list of integral representation given in [2, page 262, (4.9)-(4.11)] is not complete. Moreover, we use this example to prove that a linear functional and its first order associated can have the same distributional equation. Finally we give the two different explicit differential equations for these linear functionals.

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