Results 61 to 70 of about 21,203 (185)
Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars
AxiomsThe Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu +3 more
doaj +1 more source
Journal of Policy Analysis and Management, Volume 44, Issue 3, Page 997-1059, Summer 2025.Abstract Non‐take‐up of social benefits is a significant policy issue caused by factors such as lack of awareness, compliance costs, and stigma. While public information campaigns, default options, and in‐person assistance are increasingly used, their effectiveness remains poorly understood.
Pierre‐Marc Daigneault +4 more
wiley +1 more source
Repdigits as Products of Consecutive Pell or Pell–Lucas Numbers
Iranian Journal of Mathematical Sciences and InformaticsSummary: A positive integer is called a repdigit if it has only one distinct digit in its decimal expansion. In this paper, we find all repdigits that are products of consecutive Pell or Pell-Lucas numbers. This paper continues previous work which dealt with finding occurrences of repdigits in the Pell and Pell-Lucas sequences.
Bravo, Eric F., Bravo, Jhon J.
openaire +2 more sources
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
Lucas sequences, Pell's equations, and automorphisms of K3 surfaces [PDF]
We have the correspondences between Lucas sequences, Pell's equations, and the automorphisms of K3 surfaces with Picard number 2. Using these correspondences, we determine the intersections of some Lucas sequences.
Lee, Kwangwoo
core +1 more source
On the m-extension of the Fibonacci and Lucas p-numbers [PDF]
, 2009 In this article, we define the m-extension of the Fibonacci and Lucas p-numbers (p >= 0 is integer and m >= 0 is real number) from which, specifying p and in, classic Fibonacci and Lucas numbers (p = 1, m = 1), Pell and Pell-Lucas numbers (p = 1, m
Stakhov, Alexey +2 more
core +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
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
Pell matrix sequences and their properties [PDF]
, 2014 Bu çalışmada, öncelikle {pn (s, t)}n (s, t) -Pell ve { ( , )} n n q s t (s, t) -Pell Lucas sayı dizileri tanımlanmış ve bu dizilerin temel özellikleri incelenmiştir. Ayrıca, bu sayı dizileri için çeşitli özdeşlikler elde edilmiştir.
Güleç, Hasan Hüseyin
core
$k$-Pell-Lucas numbers as Product of Two Repdigits
, 2022 15 ...
Tripathy, Bibhu Prasad +1 more
openaire +2 more sources