Results 81 to 90 of about 18,676 (205)
Abstract and Applied Analysis, 2014 The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy +3 more
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مجلة العلوم البحتة والتطبيقية, 2020 The connection between different classes of special functions is a very important aspect in establishing new properties of the related classical functions that is they can inherit the properties of each other. Here we show how the Hermite polynomials are
Haniyah Saed Ben Hamdin
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Monotonicity of zeros of Laguerre polynomials
Journal of Computational and Applied Mathematics, 2009 Monotonicity, with respect to a parameter, of certain functions involving the zeros \(x_{nk}(\alpha)\) of the Laguerre polynomial \(L_n^{(\alpha)}(x)\) is studied. It is assumed that the zeros are arranged in decreasing order and it is proved that for any \( n \geq 2\) and \(k=1,\dots,n\), the quantities \[ \frac{x_{nk}(\alpha)-(2n+\alpha-1)}{\sqrt{2(n+
Dimitar K. Dimitrov 0001 +1 more
openaire +2 more sources
Quantum Dust Cores of Black Holes and Their Quasi‐Normal Modes
Fortschritte der Physik, Volume 74, Issue 4, April 2026.We investigate the quasi‐normal mode spectrum of a gravitationally collapsed ball of dust, considering both a linear and a refined parabolic effective mass function for the quantum core. Furthermore, we account for the quantum leakage of dust particles outside the horizon.
T. Bambagiotti +4 more
wiley +1 more source
Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials
Abstract and Applied Analysis, 2012 Let Pn={p(x)∈ℝ[x]∣deg p(x)≤n} be an inner product space with the inner product 〈p(x),q(x)〉=∫0∞xαe-xp(x)q(x)dx, where p(x),q(x)∈Pn and α∈ℝ with α>-1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis
Taekyun Kim, Dae San Kim
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On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
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DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
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Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures [PDF]
, 2017 Asymptotic approximations to the zeros of Hermite and Laguerre polynomials are given, together with methods for obtaining the coefficients in the expansions.
Gil, A., Segura, J., Temme, N. M.
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Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials
, 2016 We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of ...
Neuschel, Thorsten, Van Assche, Walter
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Advanced Optical Materials, Volume 14, Issue 5, 2 February 2026.A simple and efficient method for determining the stability of optical vortices via Fourier transform using a conventional spherical lens is presented. The theoretical and experimental results demonstrate a practical approach to directly and unambiguously measure the magnitude and sign of the topological charge of a beam without altering an ...
Elena Melnikova +5 more
wiley +1 more source