Results 91 to 100 of about 18,676 (205)

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

Journal of Inequalities and Applications
This 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, Shahid Ahmad Wani, Mohammad Ayman-Mursaleen, Ketan Kotecha, Prakash Jadhav   +4 more
doaj   +1 more source

Evaluating Multi‐Agent and Wavelet‐Transform Uncertainties in Lunar Seismic Ambient Noise Exploration

Earth and Space Science, Volume 13, Issue 2, February 2026.
Abstract Passive seismic ambient noise interferometry (ANI) has shown potential for lunar seismic exploration, offering the capability to detect near‐surface subsurface structures critical for future lunar mission, such as near‐surface ice deposits and lava tubes, without the need for active seismic sources.
Kai Nierula, Sabrina Keil, Dmitriy Shutin, Ban‐Sok Shin, Heiner Igel   +4 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

Thermal noise lowers the accuracy of rotationally invariant harmonics of diffusion MRI data and their robustness to experimental variations

Magnetic Resonance in Medicine, Volume 95, Issue 1, Page 204-219, January 2026.
Abstract Purpose Rotational invariants (RIs) are at the root of many dMRI applications. Among others, they are presented as a sensible way of reducing the dimensionality of biophysical models. While thermal noise impact on diffusion metrics has been well studied, little is known on its effect on spherical harmonics‐based RI (RISH) features and derived ...
Guillem París, Tomasz Pieciak, Derek K. Jones, Santiago Aja‐Fernández, Antonio Tristán‐Vega, Jelle Veraart   +5 more
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

A method for fractional Volterra integro-differential equations by Laguerre polynomials

Advances in Difference Equations, 2018
The main purpose of this study is to present an approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential equations. This method transforms the integro-differential equation to a system of linear algebraic
Dilek Varol Bayram, Ayşegül Daşcıoğlu   +1 more
doaj   +1 more source

The q-Laguerre matrix polynomials [PDF]

SpringerPlus, 2016
The Laguerre polynomials have been extended to Laguerre matrix polynomials by means of studying certain second-order matrix differential equation. In this paper, certain second-order matrix q-difference equation is investigated and solved. Its solution gives a generalized of the q-Laguerre polynomials in matrix variable.
openaire   +2 more sources

Performance Analysis of the LDPC‐Coded Hybrid LQAM‐MPPM for UWOC Systems

IET Optoelectronics, Volume 20, Issue 1, January/December 2026.
The effectiveness of LDPC codes in improving the performance of hybrid modulations is discussed, with coded 128‐QAM‐(12, 2) MPPM offering ~6.5 and 5.8 dB code gains at a BER of in strong and moderate turbulence, respectively. These results demonstrate the promise of hybrid modulation with LDPC as a robust and efficient modulation scheme for UWOC ...
Hongyan Jiang, Wanyi Hu, Xin Liao, Ning He, Wasiu Popoola, Ahmad Fairuz Omar, Sujan Rajbhandari   +6 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

Relations for zeros of special polynomials associated to the Painleve equations

, 2006
A method for finding relations for the roots of polynomials is presented. Our approach allows us to get a number of relations for the zeros of the classical polynomials and for the roots of special polynomials associated with rational solutions of the ...
Ablowitz, Ahmed, Amdeberhan, Bassom, Calogero, Clarkson, Clarkson, Clarkson, Clarkson, Clarkson, Conte, Cosgrove, Demina, Demina, Hone, Iwasaki, Jrad, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Kudryashov, Maria V. Demina, Mugan, Nikolai A. Kudryashov, Okamoto, Pickering, Stieltjes, Stieltjes, Szego, Umemura, Veselov, Vorob'ev, Yablonskii   +36 more
core   +1 more source