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math.CA2016
Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
Óscar Ciaurri, Antonio J. Durán, Mario Pérez +1
We introduce Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials as generalizations of Bernoulli and Apostol-Euler polynomials, where the role of the derivative is now played by th…
math.CA2016★ 1 cited
Hardy-type inequalities for fractional powers of the Dunkl--Hermite operator
Ó. Ciaurri, L. Roncal, S. Thangavelu
We prove Hardy-type inequalities for a fractional Dunkl--Hermite operator which incidentally give Hardy inequalities for the fractional harmonic oscillator as well. The idea is to…