Results 71 to 80 of about 126,262 (211)

DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS

open access: yesPesquimat, 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
doaj   +1 more source

Financial Statement Information and Equity Value: The Role of Real Options Characteristics

open access: yesFinancial 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

A note on Shively’s Pseudo-Laguerre Polynomials [PDF]

open access: yes, 2019
In this research, we esteblish some properties for the Shively’s Pseudo-Laguerre polynomials. We derive various families of multilinear and multilateral generating functions for a family of Shively’s Pseudo-Laguerre ...
Özmen, Nejla
core   +1 more source

Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials

open access: yesAbstract 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
doaj   +1 more source

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

open access: yesMathematics, 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
doaj   +1 more source

Uniform approximation of eigenvalues in Laguerre and Hermite beta-ensembles by roots of orthogonal polynomials [PDF]

open access: yes
We derive strong uniform approximations for the eigenvalues in general Laguerre and Hermite beta-ensembles by showing that the maximal discrepancy between the suitably scaled eigenvalues and roots of orthogonal polynomials converges almost surely to zero
Dette, Holger, Imhof, Lorens A.
core  

Interaction of Structured Light With Nanostructured Matter

open access: yesNanophotonics, Volume 15, Issue 9, 13 May 2026.
Structured light–matter interactions at the nanoscale remain poorly understood. We reveal a symmetry‐matched mechanism governing orbital‐angular‐momentum‐dependent extinction in gold nanodisk oligomers. Tailored diffractive optical elements generate flower‐like beams whose rotational symmetry dictates absorption. Experiments and a semi‐analytical model
Noah Apostolico   +6 more
wiley   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

open access: yesNuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Dual series equations involving generalized Laguerre polynomials [PDF]

open access: yes, 2005
An exact solution is obtained for the dual series equations involving generalized Laguerre ...
J. Rokne   +6 more
core   +1 more source

Imaging of Biphoton States: Fundamentals and Applications

open access: yesAdvanced Functional Materials, Volume 36, Issue 40, 18 May 2026.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

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