Results 71 to 80 of about 148,379 (206)
A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley +1 more source
Equioscillatory property of the Laguerre polynomials
Journal of Approximation Theory, 2010 \(L^{(\alpha)}_k\) is the orthonormal Laguerre polynomial of degree \(k\) and \(d_m\), \(d_M\) are some approximations for the extreme zeros. The authors show that the function \[ ((x- d_m)(x- d_M))^{1/4} x^{\alpha/2} e^{-{x\over 2}}L^{(\alpha)}_k(x) \] is almost equi-oscilating with the amplitude \(\sqrt{{2\over\pi}}\) provided \(k\) and \(\alpha ...
Ilia Krasikov, Alexander Zarkh
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Treeline Provides a Unified Strategy for Optimising Phylogenetic Trees Under Alternative Criteria
Molecular Ecology Resources, Volume 26, Issue 5, July 2026.ABSTRACT The choice of optimality criterion is a key consideration in phylogenetic studies. Recent work challenges the notion that more computationally demanding optimisation objectives result in better phylogenetic trees. This finding underscores the importance of comparing trees across optimisation objectives in addition to different models of ...
Erik S. Wright
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Journal of Inequalities and ApplicationsThis study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan +4 more
doaj +1 more source
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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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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Evolution and Conceptual Insights into the Geometric Phase of Light: A Comprehensive Review
Advanced Photonics Research, Volume 7, Issue 6, June 2026.This review presents a unified account of the geometric phase of light, linking its fundamental principles to diverse manifestations in polarization, spatial, and vector modes. By connecting theoretical frameworks with key experimental realizations, it reveals a coherent physical picture that deepens understanding and stimulates new directions in ...
A. Srinivasa Rao
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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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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Financial Statement Information and Equity Value: The Role of Real Options Characteristics
Financial Management, Volume 55, Issue 2, Page 301-328, Summer 2026.ABSTRACT This paper examines whether firm‐specific real options characteristics are equity value‐relevant beyond valuation estimates anchored in financial statements. Using extensive historical data for the United Kingdom, we assess and compare the forecast accuracy and explanatory power for stock prices of equity valuation models based on residual ...
Mingyu (Chandler) Chen +2 more
wiley +1 more source