Results 61 to 70 of about 128 (124)

On Convolved Fibonacci Polynomials

open access: yesMathematics
This work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these polynomials. An expression for the repeated integrals of the CFPs in terms of
Waleed Mohamed Abd-Elhameed   +2 more
doaj   +1 more source

Comprehensive Subfamilies of Bi-Univalent Functions Involving a Certain Operator Subordinate to Generalized Bivariate Fibonacci Polynomials

open access: yesMathematics
This paper introduces novel subfamilies of analytic and bi-univalent functions in Ω=ς∈C:|ς|
Ibtisam Aldawish   +3 more
doaj   +1 more source

Extended Wang sum and associated products. [PDF]

open access: yesPLoS One, 2022
Reynolds R, Stauffer A.
europepmc   +1 more source

Two Families of Bi-Univalent Functions Associating the (p, q)-Derivative with Generalized Bivariate Fibonacci Polynomials

open access: yesMathematics
Making use of generalized bivariate Fibonacci polynomials, we propose two families of regular functions of the type ϕ(ζ)=ζ+∑j=2∞djζj, which are bi-univalent in the disc {ζ∈C:|ζ|
Sondekola Rudra Swamy   +3 more
doaj   +1 more source

A Collocation Approach for the Nonlinear Fifth-Order KdV Equations Using Certain Shifted Horadam Polynomials

open access: yesMathematics
This paper proposes a numerical algorithm for the nonlinear fifth-order Korteweg–de Vries equations. This class of equations is known for its significance in modeling various complex wave phenomena in physics and engineering.
Waleed Mohamed Abd-Elhameed   +2 more
doaj   +1 more source

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

open access: yesSpecial Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

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