On arithmetic functions of balancing and Lucas-balancing numbers

被引：0

作者：

Dutta, Utkal Keshari ^{[1
]}

Ray, Prasanta Kumar ^{[1
]}

机构：

[1] Sambalpur Univ, Dept Math, Sambalpur 768019, Odisha, India

来源：

MATHEMATICAL COMMUNICATIONS | 2019年 / 24卷 / 01期

关键词：

Euler phi function; divisor function; balancing numbers; Lucas-balancing numbers;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For any integers n >= 1 and k >= 0, let phi(n) and sigma(k)(n) denote the Euler phi function and the sum of the k-th powers of the divisors of n, respectively. In this article, the solutions to some Diophantine equations about these functions of balancing and Lucas-balancing numbers are discussed.

引用

下载

页码：77 / 81

页数：5

共 50 条

[41] Diophantine equations concerning balancing and Lucas balancing numbers
Pallab Kanti Dey
Sudhansu Sekhar Rout
Archiv der Mathematik, 2017, 108 : 29 - 43
[42] Diophantine equations concerning balancing and Lucas balancing numbers
Dey, Pallab Kanti
Rout, Sudhansu Sekhar
ARCHIV DER MATHEMATIK, 2017, 108 (01) : 29 - 43
[43] Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials
Hussen, Abdulmtalb
Illafe, Mohamed
MATHEMATICS, 2023, 11 (24)
[44] Bounds on Coefficients for a Subclass of Bi-Univalent Functions with Lucas-Balancing Polynomials and Ruscheweyh Derivative Operator
Hussen, Abdulmtalb
Alamari, Moamar M.
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04): : 1237 - 1249
[45] ARITHMETIC FUNCTIONS OF FIBONACCI AND LUCAS NUMBERS
Jaidee, Montree
Pongsriiam, Prapanpong
FIBONACCI QUARTERLY, 2019, 57 (03): : 246 - 254
[46] On Pell, Pell-Lucas, and balancing numbers
Gül Karadeniz Gözeri
Journal of Inequalities and Applications, 2018
[47] On Pell, Pell-Lucas, and balancing numbers
Gozeri, Gul Karadeniz
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[48] Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials
Swamy, Sondekola Rudra
Breaz, Daniel
Venugopal, Kala
Kempegowda, Mamatha Paduvalapattana
Cotirla, Luminita-Ioana
Rapeanu, Eleonora
MATHEMATICS, 2024, 12 (09)
[49] Spinor algebra of k-balancing and k-Lucas-balancing numbers
Prasad, Kalika
Kumari, Munesh
Mohanty, Ritanjali
Mahato, Hrishikesh
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[50] Bounding coe ffi cients for certain subclasses of bi-univalent functions related to Lucas-Balancing polynomials
Hussen, Abdulmtalb
Madi, Mohammed S. A.
Abominjil, Abobaker M. M.
AIMS MATHEMATICS, 2024, 9 (07): : 18034 - 18047

← 1 2 3 4 5 →