Results 51 to 60 of about 2,196 (186)

q-Calculus as operational algebra; pp. 73–97 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354–374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
doaj   +1 more source

Beyond Randomization: Design and Analysis of Discrete Choice Experiments in the Presence of Profile Order Effects Within Choice Sets

Applied Stochastic Models in Business and Industry, Volume 41, Issue 5, September/October 2025.
ABSTRACT Discrete Choice Experiments (DCEs) investigate the attributes that affect individual choices among different options and are widely applied across numerous fields. Past DCEs provide clear evidence that the presentation order of the profiles within a choice set can impact the respondents' choices.
Yicheng Mao, Roselinde Kessels, Robert Mee   +2 more
wiley   +1 more source

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

Digital Predistorter Implementation for Wideband Power Amplifiers in New Generation Wireless Systems Based on a Low‐Complexity Volterra Series Model

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Volume 38, Issue 5, September/October 2025.
ABSTRACT In this article, we provide a novel, expanded, and adapted pruning approach for the Simplified Volterra Series (SVS) model that makes it applicable to a wider range of Power Amplifiers (PAs). The proposed Modified SVS (MSVS) model is then applied in a Digital Predistortion (DPD) architecture to linearize a 25 W Gallium Nitride (GaN) RF PA.
Haithem Rezgui, Ghalid Abib, Fatma Rouissi, Adel Ghazel   +3 more
wiley   +1 more source

Construction of Bernstein‐Based Words and Their Patterns

Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12819-12836, September 2025.
ABSTRACT In this paper, with inspiration of the definition of Bernstein basis functions and their recurrence relation, we give construction of a new word family that we refer Bernstein‐based words. By classifying these special words as the first and second kinds, we investigate their some fundamental properties involving periodicity and symmetricity ...
Irem Kucukoglu, Yilmaz Simsek
wiley   +1 more source

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

Nuclear 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

Uncertainty Quantification for Nonlinear Vibration of Supercritical Drive Shaft With a Dry Friction Damper

International Journal of Mechanical System Dynamics, Volume 5, Issue 3, Page 463-480, September 2025.
ABSTRACT The supercritical drive shaft is becoming increasingly popular in helicopter transmission system. Dry friction dampers are specially employed to ensure the supercritical shafts crossing the critical speed safely. Due to design tolerances, manufacturing errors and time‐varying factors, the parameters of the damper are inherently uncertain ...
Liyao Song, Meijun Liao, Weifang Chen, Rupeng Zhu, Dan Wang   +4 more
wiley   +1 more source

A note on pseudo Jacobi polynomials

Ain Shams Engineering Journal, 2013
The present paper is a study of pseudo-Jacobi polynomials which have been defined on the pattern of Shively’s pseudo-Laguerre polynomials. The paper contains generating functions, Rodrigues formula, recurrence relations and expansion of pseudo-Jacobi ...
Mumtaz Ahmad Khan, Abdul Hakim Khan, Sayed Mohammad Abbas   +2 more
doaj   +1 more source

Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware

Advanced Quantum Technologies, Volume 8, Issue 9, September 2025.
Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine, Nora Bauer, George Siopsis, Enrique P. Blair   +3 more
wiley   +1 more source

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

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
doaj   +1 more source