Results 61 to 70 of about 1,059,315 (385)
Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
doaj +1 more source
International Journal of Energy Research, Volume 46, Issue 15, Page 22516-22529, December 2022., 2022 This study presents a control oriented, stochastic filtering approach for online, continuous estimation of the exchange current density in low temperature proton exchange membrane fuel cells. The fuel cell is framed as a Markov model where the exchange current density is posed as the stochastic hidden state and a particle filter algorithm is developed ...
José Agustín Aguilar +2 more
wiley +1 more source
On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
The Scientific World Journal, 2013 The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
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Singular Values of Products of Ginibre Random Matrices, Multiple Orthogonal Polynomials and Hard Edge Scaling Limits [PDF]
, 2013 Akemann, Ipsen and Kieburg recently showed that the squared singular values of products of M rectangular random matrices with independent complex Gaussian entries are distributed according to a determinantal point process with a correlation kernel that ...
A. Kuijlaars, Lun Zhang
semanticscholar +1 more source
Advances in Mechanical Engineering, 2015 Boundary characteristic orthogonal polynomials proposed by the author in 1985 have been used in the Rayleigh Ritz method extensively in order to obtain natural frequencies of vibrating plates with different boundary conditions.
Rama B Bhat
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RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS
Проблемы анализа, 2020 We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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Bernstein collocation method for neutral type functional differential equation
Mathematical Biosciences and Engineering, 2021 Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
doaj +1 more source
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials [PDF]
Mathematics of Computation, 2012 Barycentric interpolation is arguably the method of choice for numerical polynomial interpolation. In this paper we show that barycentric weights for the roots or extrema of classical families of orthogonal polynomials are expressible explicitly in terms
Haiyong Wang +2 more
semanticscholar +1 more source
Mehler-Heine asymptotics for multiple orthogonal polynomials
, 2016 Mehler-Heine asymptotics describe the behavior of orthogonal polynomials near the edges of the interval where the orthogonality measure is supported. For Jacobi polynomials and Laguerre polynomials this asymptotic behavior near the hard edge involves ...
Van Assche, Walter
core +1 more source
Some Orthogonal Polynomials Arising from Coherent States [PDF]
, 2011 We explore in this paper some orthogonal polynomials which are naturally associated to certain families of coherent states, often referred to as nonlinear coherent states in the quantum optics literature.
Akhiezer N I +19 more
core +1 more source