Results 71 to 80 of about 32,202 (209)
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
doaj +1 more source
A quantum exactly solvable non-linear oscillator related with the isotonic oscillator
, 2007 A nonpolynomial one-dimensional quantum potential representing an oscillator, that can be considered as placed in the middle between the harmonic oscillator and the isotonic oscillator (harmonic oscillator with a centripetal barrier), is studied.
A M Perelomov +12 more
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Seamless Short‐ to Mid‐Term Probabilistic Wind Power Forecasting
Wind Energy, Volume 29, Issue 2, February 2026.ABSTRACT This paper brings a new understanding to the relative importance of different uncertainty sources across forecast horizons up to 7 days ahead. It presents a method for probabilistic wind power forecasting that quantifies uncertainty from weather forecasts and weather‐to‐power conversion separately.
Gabriel Dantas, Jethro Browell
wiley +1 more source
A New Generating Function for Hermite Polynomials
International Journal of Mathematics and Mathematical SciencesThis paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
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Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
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Numerical Analysis of a Benjamin–Bona–Mahony Type Equation in a Noncylindrical Domain
Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 818-834, 30 January 2026.ABSTRACT Numerical analysis and simulation for the approximate solution of a Benjamin–Bona–Mahony type equation defined in a noncylindrical domain are presented in this article. The approximate problem is defined using the linearized Crank–Nicolson Galerkin method, which results in a linear algebraic system at each time step while maintaining quadratic
Vania Cristina Machado +2 more
wiley +1 more source
Atmospheric Specifications for Infrasound Studies: 2. The Added Value of a High‐Top Model, UA‐ICON
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 1, 16 January 2026.Abstract Infrasound monitoring activities that deal with long‐range acoustic propagation, as within the Comprehensive Nuclear‐Test‐Ban Treaty's (CTBT), need accurate and operational modeling of the atmosphere up to the lower thermosphere. Yet, operational meteorological products issued by weather services are topped at around 80 km altitude with a ...
S. Kristoffersen +7 more
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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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, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
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Advanced Optical Materials, Volume 14, Issue 1, 9 January 2026.Continuous‐wave lasing from a small number of perovskite quantum dots is achieved by coupling their photoluminescence to open‐access curved dielectric cavities. This geometry confines their emission into a single optical mode, sharply narrowing linewidths in both spontaneous and lasing regimes.
Sunny Tiwari +7 more
wiley +1 more source