Results 31 to 40 of about 364 (83)
Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]
, 2013 MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in
Hachani, M. A.
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On $L^2$ -functions with bounded spectrum
, 2012 We consider the class $PW(\mathbb R^n)$ of functions in $L^2(\mathbb R^n)$, whose Fourier transform has bounded support. We obtain a description of continuous maps $\varphi : \mathbb R^m\rightarrow\mathbb R^n$ such that $f\circ\varphi\in PW(\mathbb R^m)$
A. I. Markushevich +5 more
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Open MathematicsIn this article, we extend inequalities concerning the polar derivative of a polynomial to integral mean for the class of polynomials with s-fold zero at the origin and the remaining zeros inside some closed disk of radius kk for k≥1k\ge 1 and k≤1k\le 1,
Singha Nirmal Kumar, Chanam Barchand
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Asymptotic expansions relating to the distribution of the length of longest increasing subsequences
Forum of Mathematics, SigmaWe study the distribution of the length of longest increasing subsequences in random permutations of n integers as n grows large and establish an asymptotic expansion in powers of $n^{-1/3}$ .
Folkmar Bornemann
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Entire functions with Julia sets of positive measure
, 2009 Let f be a transcendental entire function for which the set of critical and asymptotic values is bounded. The Denjoy-Carleman-Ahlfors theorem implies that if the set of all z for which |f(z)|>R has N components for some R>0, then the order of f is at ...
A. Speiser +28 more
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Refinements of inequalities on extremal problems of polynomials
Open MathematicsLet H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni +2 more
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Zeros of Bessel function derivatives
, 2016 We prove that for $\nu>n-1$ all zeros of the $n$th derivative of Bessel function of the first kind $J_{\nu}$ are real and simple. Moreover, we show that the positive zeros of the $n$th and $(n+1)$th derivative of Bessel function of the first kind $J_{\nu}
Baricz, Árpád +2 more
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On the Hausdorff dimension of the Julia set of a regularly growing entire function
, 2009 We show that if the growth of a transcendental entire function f is sufficiently regular, then the Julia set and the escaping set of f have Hausdorff dimension 2.Comment: 21 ...
Barański +4 more
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Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions [PDF]
, 2012 MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and
Paneva-Konovska, Jordanka
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On the final limit of a transition matrix
, 2019 For a finite intensity matrix $B$ the final limit of its transition matrix $\exp(t B)$ exists. This is a well-known fact in the realm of continous-time Markov processes where it is proven by probability theoretic means.
Kahl, Helmut
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