Results 41 to 50 of about 128 (124)

VECTOR APPROACH TO A NEW GENERALIZATION OF FIBONACCI POLYNOMIAL

Journal of New Theory, 2017
Abstaract−In this paper we introduce a new generalization of Fibonacci polynomial and vectors of length d are defined for these Polynomials.
Ashok Dnyandeo Godase, Machindra Baban Dhakne   +1 more
doaj  

Coefficient bounds for the functions and inverse functions in the newly constructed subclass of bi-univalent functions [PDF]

Mathematica Bohemica
We introduce a novel subclass of bi-univalent functions with respect to symmetric points using generalized bivariate Fibonacci polynomials. Then we determine certain bounds for the initial coefficients of Maclaurin expansion of the functions belonging to
Gülizar Aşır, İbrahim Aktaş
doaj   +1 more source

Uncovering Exact Solutions in Rational Difference Systems via Algebraic Transformations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a novel mathematical framework for studying a three‐dimensional system of nonlinear difference equations, aimed at describing the discrete‐time interactions among three interdependent variables. The proposed approach provides a systematic analytical treatment of the model and reveals its underlying dynamical structure.
Ahmed Ghezal, Najmeddine Attia, Smritijit Sen   +2 more
wiley   +1 more source

Laplace Adomian Decomposition Method to the Bagley–Torvik Fractional Differential Equation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents an analytical solution framework for the Bagley–Torvik equation, a canonical fractional differential model central to the study of viscoelastic damping. We employ the Laplace Adomian Decomposition Method (LADM) within the framework of the Caputo fractional derivative to derive accurate approximate solutions for three distinct ...
Pratibha Manohar, Lata Chanchlani, Vikram Kumar, D. L. Suthar, Smritijit Sen   +4 more
wiley   +1 more source

Split Quaternionic Representations of Horadam Sequences and Their Binet, Generating Function, and Cassini‐Type Identities

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes a novel algebraic connection between Horadam numbers and the split quaternion algebra. To this end, two fundamental constructs are introduced: the Fibonacci Sq,r‐split quaternions and the Horadam sq,r‐split quaternions, which generalize Horadam numbers within the framework of split quaternions.
İskender Öztürk, Hasan Çakır, Smritijit Sen   +2 more
wiley   +1 more source

Characteristic polynomials of some min and max matrices

Mathematics Open
In this paper, we investigate Min matrices [Formula: see text] and Max matrices [Formula: see text] whose entries are [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] and [Formula: see text]. By utilizing combinatorial
Wei Xie
doaj   +1 more source

A Hybrid Matrix–Based Encoding Scheme With Error Detection via Third‐Order Recurrences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a novel encoding–decoding algorithm based on third‐order linear recurrence sequences and their associated matrix representations. In particular, third‐order Jacobsthal and third‐order Jacobsthal–Lucas matrix sequences are combined with Padovan and Perrin matrix sequences to construct a hybrid block–based coding scheme.
Sukran Uygun, Smritijit Sen
wiley   +1 more source

Tiling Models for Palindromic and n‐Colored Compositions With 1 s and 3 s

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we explore compositions of positive integers into parts consisting of 1 and 3 s, highlighting their close connection to the Narayana numbers. We also examine palindromic compositions of this type and introduce arithmetic functions that reflect their structural properties.
Orhan Dişkaya, Bahar Kuloğlu, Hayrullah Özimamoğlu, Ahmet Kaya, Hamza Menken, Smritijit Sen   +5 more
wiley   +1 more source

Coefficient Bounds and Fekete–Szegö Inequalities for a New Family of Bi‐Univalent Functions Associated With Horadam Polynomial

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions.
Musthafa Ibrahim, Jihad Younis, Ali N. A. Koam, Mohammad Uzair Shah, Smritijit Sen   +4 more
wiley   +1 more source

A MATRIX REPRESENTATION OF A GENERALIZED FIBONACCI POLYNOMIAL

Journal of New Theory, 2017
The Fibonacci polynomial Fn(x) defined recurrently by Fn+1(x) = xFn(x)+Fn−1(x), with F0(x) = 0, F1(0) = 1, for n ≥ 1 is the topic of wide interest for many years. In this article, generalized Fibonacci polynomials Fbn+1(x) and Lbn+1(x) are introduced and
A. D. Godase, M. B. Dhakne
doaj