On generating functions of the Jacobi polynomial
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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In this note we have obtained some novel result on mixed trilateral relations involving extended Jacobi polynomials by group theoretic method which inturn yields the corresponding results involving Hermite, Laguerre and Jacobi polynomials.
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The Jacobi polynomial has been advocated by many authors as a useful tool to evolve non-singlet structure functions to higher Q2. In this work, it is found that the convergence of the polynomial sum is not absolute, as there is always a small fluctuation present. Moreover, the convergence breaks down completely for large N . [PACS : 12.38.-t, 12.38.Bx, 12.90.+b, 13.90.+i ] The structure functio...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1955
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1955.5.923