Works about LUCAS numbers

Results: 388

Problems.

Published in:

School Science & Mathematics, 2013, v. 113, n. 6, p. 317, doi. 10.1111/ssm.12032

By:

Eisenberg, Ted

Publication type:

Article

On the representation of Fibonacci and Lucas numbers as the sum of three squares.

Published in:

Mathematical Notes, 2012, v. 91, n. 5/6, p. 663, doi. 10.1134/S0001434612050070

By:

Latushkin, Ya.;
Ushakov, V.

Publication type:

Article

The Generalized Binomial Transform of the Bivariate Fibonacci and Lucas p-Polynomials.

Published in:

Mathematical Sciences & Applications E-Notes: An International Electronic Journal of Mathematics, 2025, v. 13, n. 2, p. 65, doi. 10.36753/mathenot.1607457

By:

Alp, Yasemin

Publication type:

Article

REPDIGITS AS DIFFERENCE OF TWO FIBONACCI OR LUCAS NUMBERS.

Published in:

Matematychni Studii, 2021, v. 56, n. 2, p. 124, doi. 10.30970/ms.56.2.124-132

By:

BHOI, K.;
RAY, P. K.

Publication type:

Article

GENERAL INFINITE SERIES EVALUATIONS INVOLVING FIBONACCI NUMBERS AND THE RIEMANN ZETA FUNCTION.

Published in:

Matematychni Studii, 2021, v. 55, n. 2, p. 115, doi. 10.30970/ms.55.2.115-123

By:

FRONTCZAK, R.;
GOY, T.

Publication type:

Article

GENERALIZATION OF CASSINI FORMULAS FOR BALANCING AND LUCAS-BALANCING NUMBERS.

Published in:

Matematychni Studii, 2014, v. 42, n. 1, p. 9, doi. 10.30970/ms.42.1.9-14

By:

RAY, P. K.;
PARIDA, K.

Publication type:

Article

ON HORADAM-LUCAS SEQUENCE.

Published in:

Journal of the Indonesian Mathematical Society, 2023, v. 29, n. 1, p. 116, doi. 10.22342/jims.29.1.1280.116-124

By:

DAŞDEMIR, AHMET

Publication type:

Article

ON TRIANGULAR PELL AND PELL-LUCAS NUMBERS.

Published in:

Bulletin of International Mathematical Virtual Institute, 2022, v. 12, n. 3, p. 429, doi. 10.7251/BIMVI2203429I

By:

İpeka, Ahmet

Publication type:

Article

A study of Fibonacci & Lucas Vectors.

Published in:

Journal of Ultra Scientist of Physical Sciences - Section A (Mathematics), 2019, v. 31, n. 9, p. 79

By:

SARASWATI, AMITAVA

Publication type:

Article

On the generalized Fibonacci like sequences and matrices.

Published in:

Annales Mathematicae et Informaticae, 2023, v. 59, p. 102, doi. 10.33039/ami.2023.05.001

By:

Prasad, Kalika;
Mahato, Hrishikesh

Publication type:

Article

The upper bound estimation on the spectral norm of r-circulant matrices with the Fibonacci and Lucas numbers.

Published in:

Journal of Inequalities & Applications, 2015, v. 2015, n. 1, p. 1, doi. 10.1186/s13660-015-0596-5

By:

He, Chengyuan;
Ma, Jiangming;
Zhang, Kunpeng;
Wang, Zhenghua

Publication type:

Article

The upper bound estimation on the spectral norm of r-circulant matrices with the Fibonacci and Lucas numbers.

Published in:

Journal of Inequalities & Applications, 2015, v. 2015, p. 1, doi. 10.1186/s13660-015-0596-5

By:

Chengyuan He;
Jiangming Ma;
Kunpeng Zhang;
Zhenghua Wang

Publication type:

Article

A Note on Stability of a Linear Functional Equation of Second Order Connected with the Fibonacci Numbers and Lucas Sequences.

Published in:

Journal of Inequalities & Applications, 2010, v. 2010, p. 1, doi. 10.1155/2010/793947

By:

Brzdęk, Janusz;
Soon-Mo Jung

Publication type:

Article

Functional Equation f(x) = pf (x - 1) - qf (x - 2) and Its Hyers-Ulam Stability.

Published in:

Journal of Inequalities & Applications, 2009, v. 2009, p. 1, doi. 10.1155/2009/181678

By:

Soon-Mo Jung

Publication type:

Article

On the Periods of Biperiodic Fibonacci and Biperiodic Lucas Numbers.

Published in:

Discrete Dynamics in Nature & Society, 2016, p. 1, doi. 10.1155/2016/7341729

By:

Tascı, Dursun;
Ozkan Kızılırmak, Gul

Publication type:

Article

Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 24, p. 4655, doi. 10.3390/math10244655

By:

Azak, Ayşe Zeynep

Publication type:

Article

Reciprocal Formulae among Pell and Lucas Polynomials.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 15, p. 2691, doi. 10.3390/math10152691

By:

Bai, Mei;
Chu, Wenchang;
Guo, Dongwei

Publication type:

Article

Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 15, p. 2667, doi. 10.3390/math10152667

By:

Guo, Dongwei;
Chu, Wenchang

Publication type:

Article

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals.

Published in:

Mathematics (2227-7390), 2022, v. 10, n. 13, p. 2342, doi. 10.3390/math10132342

By:

Abd-Elhameed, Waleed Mohamed;
Philippou, Andreas N.;
Zeyada, Nasr Anwer

Publication type:

Article

Some Families of Apéry-Like Fibonacci and Lucas Series.

Published in:

Mathematics (2227-7390), 2021, v. 9, n. 14, p. 1621, doi. 10.3390/math9141621

By:

Frontczak, Robert;
Srivastava, Hari Mohan;
Tomovski, Živorad

Publication type:

Article

An Alternating Sum of Fibonacci and Lucas Numbers of Order k.

Published in:

Mathematics (2227-7390), 2020, v. 8, n. 9, p. 1487, doi. 10.3390/math8091487

By:

Dafnis, Spiros D.;
Philippou, Andreas N.;
Livieris, Ioannis E.

Publication type:

Article

Lucas Numbers Which Are Concatenations of Two Repdigits.

Published in:

Mathematics (2227-7390), 2020, v. 8, n. 8, p. 1360, doi. 10.3390/math8081360

By:

Qu, Yunyun;
Zeng, Jiwen

Publication type:

Article

Interesting Explicit Expressions of Determinants and Inverse Matrices for Foeplitz and Loeplitz Matrices.

Published in:

Mathematics (2227-7390), 2019, v. 7, n. 10, p. 939, doi. 10.3390/math7100939

By:

Jiang, Zhaolin;
Wang, Weiping;
Zheng, Yanpeng;
Zuo, Baishuai;
Niu, Bei

Publication type:

Article

Symmetiic and generating functions of generalized (p,q)-numbers.

Published in:

Kuwait Journal of Science, 2021, v. 48, n. 4, p. 1, doi. 10.48129/kjs.v48i4.10074

By:

Saba, Nabiha;
Boussayoud, Ali;
Abderrezzak, Abdelhamid

Publication type:

Article

A Combinatorial Proof of a Result on Generalized Lucas Polynomials.

Published in:

Demonstratio Mathematica, 2016, v. 49, n. 3, p. 266, doi. 10.1515/dema-2016-0022

By:

Laugier, Alexandre;
Saikia, Manjil P.

Publication type:

Article

Mulatu Numbers That Are Concatenations of Two Lucas Numbers.

Published in:

Afyon Kocatepe University Journal of Science & Engineering / Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 2023, v. 23, n. 4, p. 914, doi. 10.35414/akufemubid.1240679

By:

ERDUVAN, Fatih

Publication type:

Article

Perfect Pell and Pell–Lucas numbers.

Published in:

Studia Scientiarum Mathematicarum Hungarica, 2019, v. 56, n. 4, p. 381, doi. 10.1556/012.2019.56.4.1440

By:

Bravo, Jhon J.;
Luca, Florian

Publication type:

Article

On the Quadra Lucas-Jacobsthal Numbers.

Published in:

Karaelmas Science & Engineering Journal / Karaelmas Fen ve Mühendislik Dergisi, 2017, v. 7, n. 2, p. 619

By:

Kızılateş, Can

Publication type:

Article

The Fibonacci resonance and other new golden ratio discoveries.

Published in:

2016

By:

Zetie, Ken

Publication type:

Book Review

Graph-theoretic models for the Fibonacci family.

Published in:

Mathematical Gazette, 2014, v. 98, n. 542, p. 256, doi. 10.1017/s0025557200001297

By:

KOSHY, T.

Publication type:

Article

97.39 Fibonometry.

Published in:

Mathematical Gazette, 2013, v. 97, n. 540, p. 494, doi. 10.1017/s0025557200000243

By:

CONWAY, JOHN;
RYBA, ALEX

Publication type:

Article

Divisibility properties for Fibonacci and related numbers.

Published in:

Mathematical Gazette, 2013, v. 97, n. 540, p. 461, doi. 10.1017/s0025557200000218

By:

SADEK, JAWAD;
EULER, RUSSELL

Publication type:

Article

From golden-ratio equalities to Fibonacci and Lucas identities.

Published in:

Mathematical Gazette, 2013, v. 97, n. 539, p. 234, doi. 10.1017/s0025557200005829

By:

GRIFFITHS, MARTIN

Publication type:

Article

THE GOLDEN RATIO IN PROBABLISTIC AND ARTIFICIAL INTELLIGENCE.

Published in:

Technical Gazette / Tehnički Vjesnik, 2011, v. 18, n. 4, p. 641

By:

Tanackov, Ilija;
Tepić, Jovan;
Kostelac, Milan

Publication type:

Article

Some Identities Involving Chebyshev Polynomial of Third Kind, Lucas Numbers and Fourth Kind, Fibonacci Numbers.

Published in:

IAENG International Journal of Applied Mathematics, 2023, v. 53, n. 4, p. 1222

By:

Verma, Anu;
Pandey, Pankaj;
Verma, Vipin

Publication type:

Article

On The Norms Of Circulant Matrices With The Complex Fibonacci And Lucas Numbers.

Published in:

Gazi University Journal of Science, 2016, v. 29, n. 2, p. 487

By:

SOLAK, Süleyman;
BAHŞI, Mustafa

Publication type:

Article

The Extra Fibonacci Series and the Empire State Building.

Published in:

Mathematical Intelligencer, 2016, v. 38, n. 1, p. 41, doi. 10.1007/s00283-015-9582-5

By:

Conway, John;
Ryba, Alex

Publication type:

Article

Solutions of the Pell Equation x2-(a2b2c2 + 2ab)y2 = N when N ∊ ±1,±4.

Published in:

Journal of Ramanujan Society of Mathematics & Mathematical Sciences, 2014, v. 3, n. 2, p. 79

By:

Sadhasivam, V.;
Kalaimani, T.;
Ambika, S.

Publication type:

Article

A note on Fibonacci and Lucas number of domination in path.

Published in:

Electronic Journal of Graph Theory & Applications, 2018, v. 6, n. 2, p. 317, doi. 10.5614/ejgta.2018.6.2.11

By:

Casinillo, Leomarich F.

Publication type:

Article

INTEGRAL REPRESENTATIONS OF THE PELL AND PELL-LUCAS NUMBERS.

Published in:

Journal of International Mathematical Virtual Institute, 2024, v. 14, n. 1, p. 109, doi. 10.7251/JIMVI2401109I

By:

İpek, Ahmet

Publication type:

Article

ON SOME PROPERTIES OF PARTICULAR TETRANACCI SEQUENCES.

Published in:

Journal of International Mathematical Virtual Institute, 2020, p. 361, doi. 10.7251/JIMVI2002361P

By:

Petroudi, Seyyed Hossein Jafari;
Pirouz, Maryam;
Ozturk, Arzu

Publication type:

Article

NOTES ON THE N-TH POWER OF GENERALIZED (S, T)-PELL AND (S, T)-PELL LUCAS MATRIX SEQUENCES.

Published in:

Transylvanian Journal of Mathematics & Mechanics, 2022, v. 14, n. 1, p. 95

By:

UYGUN, SUKRAN

Publication type:

Article

ON THE FIBONACCI NUMBERS AND THEIR SUMS WHICH ARE CLOSE TO A POWER OF 3.

Published in:

Gulf Journal of Mathematics, 2025, v. 19, n. 2, p. 47, doi. 10.56947/gjom.v19i2.2758

By:

GAHA, ANOUAR;
MEZROUI, SOUFIANE

Publication type:

Article

COMPLEX JACOBSTHAL NUMBERS IN TWO DIMENSION.

Published in:

Sarajevo Journal of Mathematics, 2024, v. 20, n. 2, p. 219, doi. 10.5644/SJM.20.02.04

By:

UYGUN, SUKRAN

Publication type:

Article

AREAS OF POLYGONS WITH COORDINATES OF VERTICES FROM HORADAM AND LUCAS NUMBERS.

Published in:

Sarajevo Journal of Mathematics, 2017, v. 13, n. 2, p. 179, doi. 10.5644/SJM.13.2.05

By:

ČERIN, ZVONKO

Publication type:

Article

THE PELL EQUATION x² - (k² - 2)y² = 1 AND THE CORRESPONDING INTEGER SEQUENCE.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2017, v. 46, p. 303, doi. 10.71352/ac.46.303

By:

Akın, Arzu;
Tekcan, Ahmet

Publication type:

Article

THE INTEGER SEQUENCE an AND ITS RELATIONSHIP WITH PELL, PELL-LUCAS AND BALANCING NUMBERS.

Published in:

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica, 2017, v. 46, p. 275, doi. 10.71352/ac.46.275

By:

Akın, Arzu;
Tekcan, Ahmet

Publication type:

Article

ON THE PSEUDO-FIBONACCI AND PSEUDO-LUCAS QUATERNIONS.

Published in:

Electronic Journal of Mathematical Analysis & Applications, 2024, v. 12, n. 1, p. 1, doi. 10.21608/ejmaa.2023.241678.1082

By:

DIŞKAYA, ORHAN;
MENKEN, H.

Publication type:

Article

On k-generalized Lucas sequence with its triangle.

Published in:

Turkish Journal of Mathematics, 2023, v. 47, n. 4, p. 1129, doi. 10.55730/1300-0098.3416

By:

AÇIKEL, Abdullah;
AMROUCHE, Said;
BELBACHIR, Hacène;
IRMAK, Nurettin

Publication type:

Article

k-generalized Pell numbers which are repdigits in base b.

Published in:

Turkish Journal of Mathematics, 2022, v. 46, n. 8, p. 3083, doi. 10.55730/1300-0098.3321

By:

ŞİAR, Zafer;
KESKİN, Refik

Publication type:

Article