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Dilcher, K. (2023) DLMF: §24.4 Basic Properties Properties Chapter 24 Bernoulli and Euler Polynomials, DLMF: Chapter 24 Bernoulli and Euler Polynomials (nist.gov), Dalhousie University, Halifax.

has been cited by the following article:

• TITLE: Obtaining Simply Explicit Form and New Properties of Euler Polynomials by Differential Calculus

  AUTHORS: Do Tan Si

  KEYWORDS: Obtaining Appell Type Euler Numbers and Polynomials, Relations Euler-Bernoulli Polynomials, Sums over km, Series on k-m, Euler Series of Functions

  JOURNAL NAME: Applied Mathematics, Vol.14 No.7, July 27, 2023

  ABSTRACT: Utilization of the shift operator to represent Euler polynomials as polynomials of Appell type leads directly to its algebraic properties, its relations with powers sums; may be all its relations with Bernoulli polynomials, Bernoulli numbers; its recurrence formulae and a very simple formula for calculating simultaneously Euler numbers and Euler polynomials. The expansions of Euler polynomials into Fourier series are also obtained; the formulae for obtaining all πm as series on k-m and for expanding functions into series of Euler polynomials.