Results 41 to 50 of about 884 (133)

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Investigando os Números Híbridos de Jacobsthal através de uma abordagem epistemológica

Boletim GEPEM, 2021
Exibiremos nesta proposta de aula um estudo sobre os números híbridos de Jacobsthal, por meio de uma abordagem epistemológica, a partir do que já foi estudado sobre os números híbridos e da sequência de Jacobsthal.
Milena Carolina dos Santos Mangueira, Francisco Regis Vieira, Paula Maria Machado Cruz Catarino   +2 more
doaj   +1 more source

The Romantic Discovery of Radiolaria in the Ocean

Journal of Eukaryotic Microbiology, Volume 73, Issue 1, January/February 2026.
ABSTRACT Radiolaria are unicellular marine organisms (protists) that have been drifting in oceanic plankton for hundreds of millions of years. These mineral architects can build extraordinarily complex skeletons, which fascinated and puzzled naturalists observing water samples through rudimentary microscopes.
Johan Decelle
wiley   +1 more source

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
doaj   +1 more source

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
This paper introduces dual proximal groups (DPGs) that provide concise representation of complex Hosoya triangles (CHTs). An application is given in terms of the DPG representation of collections of Hosoya‐Hilbert circular triangles on modulated motion waveforms in sequences of video frames. MSC2020 Classification: 11B39,54E05,57S25.
Kübra Gül, James F. Peters, Ömür Deveci, Ivan Giorgio   +3 more
wiley   +1 more source

Higher-order balancing numbers: new sequences, recurrence relations, generating functions and identities

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, we study a novel extension of the classic balancing numbers, referred to as the higher-order balancing numbers and denoted by. This sequence is analogous to the higher-order Fibonacci numbers and follows the same recurrence relation as ...
K. Prasad, Indubala, M. Kumari
doaj   +1 more source

A Generalization of Gaussian Balancing and Gaussian Balancing‐Lucas Numbers With Applications

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we study a generalization of Gaussian balancing and Gaussian Lucas‐balancing numbers, we find their generating functions, Binet formulas, related matrix representation, and many other properties. Also, we provide some applications in cryptography.
T. Al-Asoully, A. Al-Kateeb, Abdul Rauf Khan   +2 more
wiley   +1 more source

Binet’s formula for operator-valued recursive sequences and the operator moment problem

Extracta Mathematicae
We derive a Binet-type formula for operator-valued sequences satisfying linear recurrence relations, extending the classical scalar case to the setting of bounded operators on Hilbert spaces.
A. Ech-charyfy, A. Ghanmi, K. Idrissi, A. Salhi   +3 more
doaj   +1 more source

Chaotic Archerfish Optimizer–Enhanced Double‐Attention Dense BiGRU for Video‐Based Facial Expression Recognition

International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.
Facial expression recognition (FER) is a growing and important area of pattern recognition research. In today’s application domains, such as the identification of human facial expression, deep learning techniques have gained popularity. The expressions on people’s faces reveal their motives and emotional actions.
R. Punithavathi, C. Kumar, R. Saravana Kumar, Abhinandan Routray, Richard Murray   +4 more
wiley   +1 more source

Model Reduction for Nonlinear Dynamical Systems With Parametrized Boundary and Initial Conditions Using Support Vector Machine on a Manifold

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This work introduces a model reduction approach for parametrized boundary and initial conditions using supervised learning techniques. The Grassmann distance is employed to measure differences between parameter values based on the angles of solution subspaces.
Norapon Sukuntee, Saifon Chaturantabut, Hulun Guo   +2 more
wiley   +1 more source