Search Results - "Varona, Juan L."

Graphic and numerical comparison between iterative methods by Varona, Juan L.

“…Varoona studies the convergence of two iterative methods. His reasons for the study are to show the beauty of the graphics that can be generated with the aid…”
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A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform by CIAURRI, Oscar, VARONA, Juan L

“…A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform on the real line is proved. To this end we state, in terms of Bessel functions,…”
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Old and New Identities for Bernoulli Polynomials via Fourier Series by Navas, Luis M., Varona, Juan L., Ruiz, Francisco J.

“…The Bernoulli polynomials Bk restricted to [0,1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the…”
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How to compute multivariate Bessel expansions by Durán, Antonio J., Pérez, Mario, Varona, Juan L.

“…We develop a constructive method for computing explicitly multivariate Bessel expansions of the type ∑ m ≥ 1 α m ∏ i = 1 k J μ i ( ζ m x i ) ( ζ m x i ) μ i ,…”
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Superattracting Extraneous Fixed Points and n-cycles for Chebyshev’s Method on Cubic Polynomials by Gutiérrez, José M., Varona, Juan L.

“…In this work we provide analytic and graphic arguments to explain the behaviour of Chebyshev’s method applied to cubic polynomials in the complex plane. In…”
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On the properties of zeros of Bessel series in the real line by Durán, Antonio J., Pérez, Mario, Varona, Juan L.

“…For a given sequence of real numbers , we define the function where , denotes the Bessel function of order μ, and are the positive zeros of  . In this paper,…”
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Bernoulli–Dunkl and Euler–Dunkl polynomials and their generalizations by Ciaurri, Óscar, Ceniceros, Judit Mínguez, Varona, Juan L.

“…Bernoulli–Dunkl and Euler–Dunkl polynomials are generalizations of the classical Bernoulli and Euler polynomials, using the Dunkl operator instead of the…”
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Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials by NAVAS, LUIS M., RUIZ, FRANCISCO J., VARONA, JUAN L.

“…These results are transferred to the Apostol-Euler polynomials via a simple relation linking them to the Apostol-Bernoulli polynomials.]]>…”
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A Simple Computation of ζ (2k) by Óscar Ciaurri, Luis M. Navas, Francisco J. Ruiz, Juan L. Varona

“…We present a new simple proof of Euler’s formulas for ζ(2k), where k = 1, 2, 3,…. The computation is done using only the defining properties of the Bernoulli…”
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The multiplier of the interval [−1, 1] for the Dunkl transform of arbitrary order on the real line by Ciaurri, Óscar, Roncal, Luz, Varona, Juan L.

“…We study the boundedness of the multiplier of the interval for the Dunkl transform of order on weighted spaces, with . In particular, we get that it is bounded…”
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An uncertainty inequality for Fourier–Dunkl series by Ciaurri, Óscar, Varona, Juan L.

“…An uncertainty inequality for the Fourier–Dunkl series, introduced by the authors in [Ó. Ciaurri, J.L. Varona, A Whittaker–Shannon–Kotel’nikov sampling theorem…”
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A transform involving Chebyshev polynomials and its inversion formula by Ciaurri, Óscar, Navas, Luis M., Varona, Juan L.

“…We define a functional analytic transform involving the Chebyshev polynomials T n ( x ) , with an inversion formula in which the Möbius function μ ( n )…”
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A general method to find special functions that interpolate Appell polynomials, with examples by Asensi, Alejandro Gil, Varona, Juan L.

“…Given an Appell sequence {Pn(x)}n=0∞ defined by means of a generating functionA(t)ext=∑n=0∞Pn(x)tnn!, we discuss a general procedure for constructing a complex…”
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Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions by Gil Asensi, Alejandro, Varona, Juan L.

“…Dunkl theory on the real line involves some tools such as the Dunkl derivativeΛαf(x)=ddxf(x)+2α+12f(x)−f(−x)x or the Dunkl exponential Eα(z) that is defined in…”
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Three essays on Machin’s type formulas by Gasull, Armengol, Luca, Florian, Varona, Juan L.

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Singular Measures and Convolution Operators by Aldaz, J M, Varona, Juan L

“…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…”
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A connection between power series and Dirichlet series by Navas, Luis M., Ruiz, Francisco J., Varona, Juan L.

“…We prove that for any convergent Laurent series f(z)=∑n=−k∞anzn with k≥0, there is a meromorphic function F(s) on C whose only possible poles are among the…”
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Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions by Ciaurri, Óscar, Varona, Juan L.

“…We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak…”
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Pythagorean triangles with legs less than n by Benito, Manuel, Varona, Juan L.

“…We obtain asymptotic estimates for the number of Pythagorean triples ( a, b, c) such that a<n, b<n . These estimates (considering the triple ( a, b, c)…”
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An uiniform boundedness for Bochner-Riesz operators related to the Hankel transform by Ciaurri Óscar, Varona Juan L

“…Let be the modified Hankel transform defined for suitable functions and extended to some spaces. Given , let be the Bochner-Riesz operator for the Hankel…”
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