Ana Peña

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Let {Pn} n≥0 be a sequence of monic orthogonal polynomials with respect to a quasi–definite linear functional u and {Qn} n≥0 a sequence of polynomials defined by Qn(x) = Pn(x) + sn Pn−1(x) + tn Pn−2(x), n ≥ 1, with tn = 0 for n ≥ 2. We obtain a new characterization of the orthogonality of the sequence {Qn} n≥0 with respect to a linear functional v, in terms(More)
Angiotensin II (Ang-II) regulates a variety of cellular functions including cortisol secretion. In the present report, we demonstrate that Ang-II activates phospholipase D (PLD) in zona fasciculata (ZF) cells of bovine adrenal glands, and that this effect is associated to the stimulation of cortisol secretion by this hormone. PLD activation was dependent(More)
We consider a generalization of the classical Hermite polynomials by the addition of terms involving derivatives in the inner product. This type of generalization has been studied in the literature from the point of view of the algebraic properties. Thus, our aim is to study the asymptotics of this sequence of nonstandard orthogonal polynomials. In fact, we(More)
Let µ 0 and µ 1 be measures supported on an unbounded interval and S n,λn the extremal varying Sobolev polynomial which minimizes P, P λn = P 2 dµ 0 + λ n P ′2 dµ 1 , λ n > 0 in the class of all monic polynomials of degree n. The goal of this paper is twofold. On one hand, we discuss how to balance both terms of this inner product, that is, how to choose a(More)
This paper deals with Mehler–Heine type asymptotic formulas for the so-called discrete Sobolev orthogonal polynomials whose continuous part is given by Laguerre and generalized Hermite measures. We use a new approach which allows to solve the problem when the discrete part contains an arbitrary (finite) number of mass points.
Let { ℙ n } n ≥ 0 $\{\mathbb{P}_{n}\}_{n\ge 0}$ and { ℚ n } n ≥ 0 $\{\mathbb{Q}_{n}\}_{n\ge 0}$ be two monic polynomial systems in several variables satisfying the linear structure relation ℚ n = ℙ n + M n ℙ n − 1 , n ≤ 1 , $\mathbb{Q}_{n} = \mathbb{P}_{n} + M_{n} \mathbb{P}_{n-1}, \quad n\ge 1,$ where M n are constant matrices of proper size and ℚ 0 = ℙ 0(More)
Let S n,λn be the extremal varying Sobolev polynomials which minimize P, P λn = P 2 dµ 0 + λ n P ′2 dµ 1 , λ n > 0 in the class of all monic polynomials of degree n, where the measures µ 0 and µ 1 are supported on an unbounded interval. The goal of this paper is twofold. First, we discuss how to balance both terms of this inner product, that is, how to(More)
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