Generating functions of the Jacobi polynomials and related Hilbert spaces of analytic functions
نویسندگان
چکیده
منابع مشابه
Generating Functions of Jacobi Polynomials
Multiplicative renormalization method (MRM) for deriving generating functions of orthogonal polynomials is introduced by Asai–Kubo– Kuo. They and Namli gave complete lists of MRM-applicable measures for MRM-factors h(x) = ex and (1 − x)−κ. In this paper, MRM-factors h(x) for which the beta distribution B(p, q) over [0, 1] is MRM-applicable are determined. In other words, all generating function...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1998
ISSN: 0386-2194
DOI: 10.3792/pjaa.74.46