Some generating functions for the Jacobi polynomials
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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A main motivation for this paper is the search for the sufficient condition of the primality of an integer n in order that the congruence 1n−1 + 2n−1 + 3n−1 + · · · + (n− 1)n−1 ≡ −1 (mod n) holds. Some properties of Jacobi polynomials were investigated using certain Kummer results. Certain properties of Bernoulli polynomials as well as the Staudt–Clausen theorem for prime factors were also used...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1992
ISSN: 0898-1221
DOI: 10.1016/0898-1221(92)90054-l