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Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case

Description : Motivated by the G.H. Hardy's 1939 results [G.H. Hardy, Notes on special systems of orthogonal functions II: On functions orthogonal with respect to their own zeros, J. London Math. Soc. 14 (1939) 37-44] on functions orthogonal with respect to their real zeros [lambda]n, , we will consider, under th...
Language(s) : English
Subject(s) : Zeros of special functions , Orthogonality , Jacobi weights , Mellin transform on distributions , Entire functions , Bessel functions , Hyperbessel functions
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Publication Date(s) : 2008-01-01