Results 101 to 110 of about 4,323 (242)

A New Generalization of Legendre-Based Appell Polynomials with Two Parameters and Their Applications

Axioms
In the present work, we introduce and study a new two-parameter generalization of Legendre-based Appell polynomials, defined through an explicit representation that unifies classical Legendre structures with the Appell polynomial framework. Starting from
Ghaliah Alhamzi, Georgia Irina Oros, Mdi Begum Jeelani, Kalika Prasad, Shahid Ahmad Wani   +4 more
doaj   +1 more source

On the non-existence of some interpolatory polynomials

International Journal of Mathematics and Mathematical Sciences, 1986
Here we prove that if xk, k=1,2,…,n+2 are the zeros of (1−x2)Tn(x) where Tn(x) is the Tchebycheff polynomial of first kind of degree n, αj, βj, j=1,2,…,n+2 and γj, j=1,2,…,n+1 are any real numbers there does not exist a unique polynomial Q3n+3(x) of ...
C. H. Anderson, J. Prasad
doaj   +1 more source

Oceanic Mesoscale Eddy Fitting Using Legendre Polynomial Surface Fitting Model Based on Along-Track Sea Level Anomaly Data

Remote Sensing
Exploring the spatial distribution of sea surface height involves two primary methodologies: utilizing gridded reanalysis data post-secondary processing or conducting direct fitting along-track data.
Chunzheng Kong, Yibo Zhang, Jie Shi, Xianqing Lv   +3 more
doaj   +1 more source

On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations [PDF]

, 2010
Zaid Odibat
openalex   +1 more source

Sums of finite products of Legendre and Laguerre polynomials [PDF]

, 2018
Taekyun Kim, Dae San Kim, Dmitry V. Dolgy, Jin-Woo Park   +3 more
openalex   +1 more source

Two-Dimensional Legendre Polynomial Method for Internal Tide Signal Extraction

Remote Sensing
This study employs the two-dimensional Legendre polynomial fitting (2-D LPF) method to fit M2 tidal harmonic constants from satellite altimetry data within the region of 53°E–131°E, 34°S–6°N, extracting internal tide signals acting on the sea surface ...
Yunfei Zhang, Cheng Luo, Haibo Chen, Wei Cui, Xianqing Lv   +4 more
doaj   +1 more source

Predicting Longitudinal Traits Derived from High-Throughput Phenomics in Contrasting Environments Using Genomic Legendre Polynomials and B-Splines [PDF]

, 2019
Mehdi Momen, Malachy T. Campbell, Harkamal Walia, Gota Morota   +3 more
openalex   +1 more source

Analysis of Faceted Gratings Using C-Method and Polynomial Expansion

Photonics
The coordinate-transformation-based differential method developed by Chandezon et al. is recognized as one of the simplest and most versatile approaches for modeling surface-relief gratings.
Gérard Granet, Kofi Edee
doaj   +1 more source

The numerical treatment of fractal‐fractional 2D optimal control problems by Müntz–Legendre polynomials [PDF]

, 2023
Parisa Rahimkhani, Yadollah Ordokhani, S. Sedaghat   +2 more
openalex   +1 more source

Certain generating functions of Hermite - Bernoulli - Legendre polynomials

, 2018
Nabiullah U Khan, Talha Usman
openalex   +1 more source