85 citations · 282 across the 23 of their papers we have counts for
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Summing Sneddon-Bessel series explicitly
Antonio J. Durán, Mario Pérez, Juan L. Varona
We sum in a close form the Sneddon-Bessel series \[ \sum_{m=1}^\infty \frac{J_α(x j_{m,ν})J_β(y j_{m,ν})} {j_{m,ν}^{2n+α+β-2ν+2} J_{ν+1}(j_{m,ν})^2}, \] where , , …
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…
Harmonic Analysis associated with a discrete Laplacian
Ó. Ciaurri, T. A. Gillespie, L. Roncal +2
It is well-known that the fundamental solution of with for every fixed , is given…
Singular measures and convolution operators
J. M. Aldaz, Juan L. Varona
We show that in the study of certain convolution operators, functions can be replaced by measures without changing the size of the constants appearing in weak type (1,1) inequaliti…
Weighted norm inequalities for polynomial expansions associated to some measures with mass points
José J. Guadalupe, Mario Pérez, Francisco J. Ruiz +1
Fourier series in orthogonal polynomials with respect to a measure on are studied when is a linear combination of a generalized Jacobi weight and finitely many Dir…