논문KCI 등재
Hybrid Numbers with Horadam Hybrid Number Coefficients
경북대학교 자연과학대학 수학과|2025.06|Kyungpook Mathematical Journal|제65권 제2호|pp. 183-193|DOI 10.5666/KMJ.2025.65.2.183
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce hybrid numbers with Horadam hybrid number coefficients. We give the Binet formula, generating function, exponential generating function for these hybrid numbers. Also, a type of Catalan identity is introduced for these hybrid numbers. Additionally, a matrix version is introduced to alternatively prove Cassini’s identity.
Abstract
In this paper, we introduce hybrid numbers with Horadam hybrid number coefficients. We give the Binet formula, generating function, exponential generating function for these hybrid numbers. Also, a type of Catalan identity is introduced for these hybrid numbers. Additionally, a matrix version is introduced to alternatively prove Cassini’s identity.
관련 논문AI추천
h(x)-b-Tribonaci and h(x)-b-Tri Lucas PolynomialsSuchita Arolkar, Yeshwant Shivrai Valaulikar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제4호SOME IDENTITIES OBTAINED BY USING THE CONCEPT OF EXPONENTIAL RIORDAN MATRICES정지환영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Some identities and generating function for the k-Jacobsthal-Lucas sequenceD. Jhala, G. P. S. Rathore, K. Sisodiya장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호A note on the modified $k$-Fibonacci-like sequence권영우대한수학회 · 대한수학회논문집2016 · 제31권 제1호Generalized k-Balancing and k-Lucas Balancing Numbers and Associated PolynomialsJagmohan Tanti, Kalika Prasad, Munesh Kumari경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제4호On Sums of Products of Horadam NumbersZvonko Cerin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호
이 간행물의 다른 논문 (11건)
Central Identities in Prime Rings with Anti-Automorphisms and Generalized DerivationsAbbas Hussain Shikeh, Mohammad Aslam Siddeequepp. 169-182The Complexity of Adaptably k-Colouring Edge-Coloured Hypergraphs시거스 마크 할버, 김효빈pp. 195-206Multiscale Analysis of Prandtl-Ishlinskii OperatorsAchille Landri Pokam Kakeupp. 207-228A Fischer-Type Determinantal Inequality for Certain Accretive- Dissipative MatricesHossein Larki, Hossein Qasemi, Marzieh Dehghani-Madisehpp. 229-235A Note on Lipschitz Estimates for Weighted Bergman Projections on Convex Domains of Infinite Type in C^2Ly Kim Happ. 237-256