Results 91 to 100 of about 15,160 (203)
Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
wiley +1 more source
Bi‐Starlike Function of Complex Order Involving Rabotnov Function Associated With Telephone Numbers
Journal of Mathematics, Volume 2025, Issue 1, 2025.Telephone numbers defined through the recurrence relation Qn=Qn−1+n−1Qn−2 for n ≥ 2, with initial values of Q0=Q1=1. The study of such numbers has led to the establishment of various classes of analytic functions associated with them. In this paper, we establish two new subclasses of bi‐convex and bi‐starlike functions of complex order in the open unit
Sa’ud Al-Sa’di +3 more
wiley +1 more source
MathematicsIn this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud +2 more
doaj +1 more source
A Short Note on the Pell-Lucas-Eisenstein Series
, 2022 In this work, we define a new type of Eisenstein-like series by using Pell-Lucas numbers and call them the Pell-Lucas-Eisenstein Series. Firstly, we show that the Pell-Lucas-Eisenstein series are convergent on their domain.
Uysal, Mine, Inam, Ilker, Ozkan, Engin
core +1 more source
On the Existence of Solutions of Diophantine Equations Related to Subbalancing Numbers
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce a new sequence of subbalancing numbers by considering balancing numbers as the values of D in the Diophantine equations provided by subbalancing numbers. For this, first we prove that when the values of the positive integer D are chosen as balancing numbers, there exist integer solutions of the Diophantine equations that ...
Selin Sarı +2 more
wiley +1 more source
Miskolc Mathematical NotesIn the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
doaj +1 more source
Norms Of Hankel-Hessenberg and Toeplitz-Hessenberg Matrices Involving Pell and Pell-Lucas Numbers
, 2016 We derive some sum formulas for the squares of Pell and Pell-Lucas numbers. We construct Hankel-Hessenberg andToeplitz-Hessenberg matrices whose entries in the first column are HHP = aij , ij i j a Pï€ = ; Q HH =   ij a , ij i j a Qï€ =and ...
GÖKBAS, Hasan
core +1 more source
A New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1. We obtained the characteristic function, generating function, and Binet’s formula for this sequence and propose a ...
Hasan Gökbaş, Mohammad W. Alomari
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14457-14475, December 2024.The aim of this study is to present the evolution of COVID‐19 pandemic in Turkey. For this, the SIR (Susceptible, Infected, Removed) model with the fractional order derivative is employed. By applying the collocation method via the Pell–Lucas polynomials (PLPs) to this model, the approximate solutions of model with fractional order derivative are ...
Gamze Yıldırım, Şuayip Yüzbaşı
wiley +1 more source
$k$-Pell-Lucas numbers as Product of Two Repdigits
, 2022 15 ...
Tripathy, Bibhu Prasad +1 more
openaire +2 more sources