Results 111 to 120 of about 53,539 (221)

Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley   +1 more source

On the number of zeros of iterated operators on analytic Legendre expansions

International Journal of Mathematics and Mathematical Sciences, 2001
Let L=(1−z2)D2−2zD, D=d/dz and f(z)=∑n=0∞cnpn(z), with Pn being the nth Legendre polynomial and f analytic in an ellipse with foci ±1. Set Lk=L(Lk−1), k≥2. Then the number of zeros of Lkf(z) in this ellipse is O(klnk).
Carl Prather
doaj   +1 more source

Combinatorial interpretations of the Jacobi-Stirling numbers

, 2009
The Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers.
Gelineau, Yoann, Zeng, Jiang
core   +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

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

Two legendre polynomial identities [PDF]

, 1983
Rawlins, AD
core   +1 more source

Investigating the Properties and Dynamic Applications of Δ_h Legendre–Appell Polynomials

Mathematics
This research aims to introduce and examine a new type of polynomial called the Δh Legendre–Appell polynomials. We use the monomiality principle and operational rules to define the Δh Legendre–Appell polynomials and explore their properties.
Noor Alam, Shahid Ahmad Wani, Waseem Ahmad Khan, Hasan Nihal Zaidi   +3 more
doaj   +1 more source

Improved high-precision regional marine geomagnetic anomaly field model using Legendre polynomial expansion

AIP Advances
Regional geomagnetic field models can provide detailed insights into the geomagnetic field and are of substantial value for precise maritime navigation and the detection of marine targets. In light of the polynomial model’s numerous advantages, including
Bo Zhu, Houpu Li, Libo Zhu, Cheng Chen, Shuguang Wu   +4 more
doaj   +1 more source

LEGENDRE POLYNOMIALS [PDF]

Nature, 1947
openaire   +1 more source

Legendre Polynomial Fitting-Based Permutation Entropy Offers New Insights into the Influence of Fatigue on Surface Electromyography (sEMG) Signal Complexity. [PDF]

Entropy (Basel)
Jabloun M, Buttelli O, Ravier P.
europepmc   +1 more source