Bernoulli Polynomials Old and New: Generalizations and Asymptotics
نویسنده
چکیده
We consider two aspects of generalized Bernoulli polynomials B n (z). One aspect is connected with deening functions instead of polynomials by making the degree n of the polynomial a complex variable. In the second problem we are concerned with the asymptotic behaviour of B n (z) when the degree n tends to innnity.
منابع مشابه
Large Degree Asymptotics of Generalized Bernoulli and Euler Polynomials
Asymptotic expansions are given for large values of n of the generalized Bernoulli polynomials B n (z) and Euler polynomials E n (z). In a previous paper López and Temme (1999) these polynomials have been considered for large values of μ, with n fixed. In the literature no complete description of the large n asymptotics of the considered polynomials is available. We give the general expansions,...
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