Results 51 to 60 of about 128 (124)

Novel Identities and Representations for Euler Polynomials of the Second Kind

Axioms
We investigate the Euler polynomials of the second kind (EPs2) and develop a collection of structural identities for this modified Euler family. The analysis begins with an explicit expansion and a compact inverse relation, followed by connections with ...
Waleed Mohamed Abd-Elhameed, Naher Mohammed A. Alsafri, Mohammed Atef Abdallah, Amr Kamel Amin   +3 more
doaj   +1 more source

A Combinatorial Proof of a Result on Generalized Lucas Polynomials

Demonstratio Mathematica, 2016
We give a combinatorial proof of an elementary property of generalized Lucas polynomials, inspired by [1]. These polynomials in s and t are defined by the recurrence relation 〈n〉 = s〈n-1〉+t〈n-2〉 for n ≥ 2.
Laugier Alexandre, Saikia Manjil P.
doaj   +1 more source

New Formulas of Bernoulli Polynomials of the Second Kind Using Several Approaches

Mathematics
This article presents several new analytical results for a modified class of Bernoulli polynomials, namely, the Bernoulli polynomials of the second kind (BPs2).
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Naher Mohammed A. Alsafri, Amr Kamel Amin   +3 more
doaj   +1 more source

A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments

Advances in Mathematical Physics, 2014
A pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments.
Ayşe Betül Koç, Musa Çakmak, Aydın Kurnaz   +2 more
doaj   +1 more source

PRIMITIVE MATRICES AND GENERATORS OF PSEUDO RANDOM SEQUENCES OF GALOIS

Ìнформаційні технології в освіті, 2014
In theory and practice of information cryptographic protection one of the key problems is the forming a binary pseudo-random sequences (PRS) with a maximum length with acceptable statistical characteristics.
A. Beletsky, E. Beletsky
doaj  

Numerical Solution for Gas Dynamics Equation Involving Caputo-Time Fractional Derivative Using a Family of Shifted Chebyshev Polynomials

Fractal and Fractional
This study develops an effective numerical method for addressing the time-fractional gas dynamics equation formulated with the Caputo time-fractional derivative.
Waleed Mohamed Abd-Elhameed, Ahmed H. Al-Mehmadi, Naher Mohammed A. Alsafri, Omar Mazen Alqubori, Amr Kamel Amin, Ahmed Gamal Atta   +5 more
doaj   +1 more source

Generalized Pauli Fibonacci Polynomial Quaternions

Axioms
Since Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies.
Bahadır Yılmaz, Nazmiye Gönül Bilgin, Yüksel Soykan   +2 more
doaj   +1 more source

Combined Pseudo-Random Sequence Generator for Cybersecurity. [PDF]

Sensors (Basel), 2022
Maksymovych V, Shabatura M, Harasymchuk O, Shevchuk R, Sawicki P, Zajac T.   +5 more
europepmc   +1 more source

Exploring Bi-Univalent Classes via q-Derivatives and Bivariate Fibonacci Polynomials

Mathematics
The q-calculus framework has emerged as a powerful tool in geometric function theory, enabling refined analysis of analytic and bi-univalent functions.
Aruna Mogarala Guruvaya, Basem Aref Frasin, Ibtisam Aldawish, Sondekola Rudra Swamy   +3 more
doaj   +1 more source

Elliptic Solutions of Dynamical Lucas Sequences. [PDF]

Entropy (Basel), 2021
Schlosser MJ, Yoo M.
europepmc   +1 more source