Publications & Works

Publication Network

Published journal articles indexed by SCI, SSCI, and AHCI

Explicit formula for positive integer powers of k-tridiagonal Toeplitz matrices

Jia J., Wang J., He Q., Yan Y., YILMAZ F.
Journal of Applied Mathematics and Computing, vol.69, no.1, pp.811-822, 2023 (SCI-Expanded) identifier

On Harmonic Complex Balancing Numbers

YILMAZ F., Ertaş A., Jia J.
Mathematics, vol.11, no.1, 2023 (SCI-Expanded) Creative Commons License identifier

Mathematics and Its Applications in Science and Engineering

Queiruga-Dios A., Santos Sánchez M. J., Yilmaz F., Dias Rasteiro D. M. L., Martín-Vaquero J., Gayoso Martínez V.
Mathematics, vol.10, no.19, 2022 (SCI-Expanded) Creative Commons License identifier

De moivre’s and euler formulas for matrices of hybrid numbers

Akbıyık M., Akbıyık S. Y., Karaca E., YILMAZ F.
Axioms, vol.10, no.3, 2021 (SCI-Expanded) Creative Commons License identifier identifier

A combined approach to Perrin and Padovan hybrid sequences

Jafari Petroudi S. H., Pirouz M., Karaca E., YILMAZ F.
Heliyon, vol.7, no.8, 2021 (SCI-Expanded) Creative Commons License identifier identifier identifier

One type of symmetric matrix with harmonic pell entries, its inversion, permanents and some norms

Akbiyik S. Y., Akbiyik M., YILMAZ F.
Mathematics, vol.9, no.5, pp.1-15, 2021 (SCI-Expanded) Creative Commons License identifier identifier

A unified approach: Split quaternions with quaternion coefficients and quaternions with dual coefficients

Karaca E., YILMAZ F., ÇALIŞKAN M.
Mathematics, vol.8, no.12, pp.1-15, 2020 (SCI-Expanded) Creative Commons License identifier identifier

Some results on one type of graph family with some special number sequences

Kirklar E., Maden A. D., YILMAZ F.
AKCE International Journal of Graphs and Combinatorics, vol.17, no.3, pp.749-754, 2020 (SCI-Expanded) identifier identifier

On linear algebra of balance-binomial graphs

Kar K., YILMAZ F.
DISCRETE APPLIED MATHEMATICS, vol.243, pp.290-296, 2018 (SCI-Expanded) identifier identifier

Some comments on k-tridiagonal matrices: Determinant, spectra, and inversion

da Fonseca C. M., YILMAZ F.
APPLIED MATHEMATICS AND COMPUTATION, vol.270, pp.644-647, 2015 (SCI-Expanded) identifier identifier

A note on a fast breakdown-free algorithm for computing the determinants and the permanents of k-tridiagonal matrices

Sogabe T., YILMAZ F.
APPLIED MATHEMATICS AND COMPUTATION, vol.249, pp.98-102, 2014 (SCI-Expanded) identifier identifier

The eigenvalues of a family of persymmetric anti-tridiagonal 2-Hankel matrices

AKBULAK M., da Fonseca C. M., YILMAZ F.
APPLIED MATHEMATICS AND COMPUTATION, vol.225, pp.352-357, 2013 (SCI-Expanded) identifier identifier

The Adjacency Matrix of One Type of Directed Graph and the Jacobsthal Numbers and Their Determinantal Representation

YILMAZ F., BOZKURT D.
JOURNAL OF APPLIED MATHEMATICS, vol.2012, 2012 (SCI-Expanded) Creative Commons License identifier identifier

Some Properties of Padovan Sequence by Matrix Methods

YILMAZ F., BOZKURT D.
ARS COMBINATORIA, vol.104, pp.149-160, 2012 (SCI-Expanded) identifier identifier

Hessenberg matrices and the Pell and Perrin numbers

YILMAZ F., BOZKURT D.
JOURNAL OF NUMBER THEORY, vol.131, no.8, pp.1390-1396, 2011 (SCI-Expanded) identifier identifier

A FORMULA FOR COMPUTING INTEGER POWERS FOR ONE TYPE OF TRIDIAGONAL MATRIX

Kiyak H., Gurses I., YILMAZ F., Bozkurt D.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.39, no.3, pp.351-363, 2010 (SCI-Expanded) identifier identifier

Articles Published in Other Journals

On the Generalized Gaussian Fibonacci Numbers and Horadam Hybrid Numbers: A Unified Approach

YILMAZ F., ÖZKAN M.
Axioms, vol.11, no.6, 2022 (Scopus) Creative Commons License identifier

The bi-periodic Horadam sequence and some perturbed tridiagonal 2-Toeplitz matrices: A unified approach

Anđelić M., da Fonseca C. M., YILMAZ F.
Heliyon, vol.8, no.2, 2022 (ESCI) Creative Commons License identifier identifier

SOME SPECIAL MATRICES WITH HARMONIC NUMBERS

JAFARİ PETROUDİ S. H., PİROUZ M., AKBIYIK M., YILMAZ F.
Konuralp Journal of Mathematics, 2021 (Peer-Reviewed Journal)

On bipartite graphs and the Fibonacci numbers

YILMAZ F.
Notes on Number Theory and Discrete Mathematics, 2019 (ESCI)

A General Formula for Determinants and Inverses ofr-circulant Matrices with Third Order Recurrences

KIRKLAR E., YILMAZ F.
Mathematical Sciences and Applications E-Notes, 2019 (Peer-Reviewed Journal)

On The Pfaffians and Determinants of Some Skew-Centrosymmetric Matrices

YILMAZ F., SOGABE T., KIRKLAR E.
Journal of Integer Sequences, vol.20, no.17.4.6, pp.1-9, 2017 (Scopus) identifier

Lower k Hessenberg Matrices and k Fibonacci Fibonacci p and Pell p i Numbers

CARLOS MARTINS DA F., SOGABE T., YILMAZ F.
Gen. Math. Notes, vol.31, pp.10-17, 2015 (Peer-Reviewed Journal)

On the determinants of some kinds of circulant type matrices with generalized number sequences

KIRKLAR E., YILMAZ F.
Special Matrices, vol.3, pp.235-243, 2015 (ESCI) identifier

On tensor product decomposition of k tridiagonal Toeplitz matrices

OHASHI A., TSUYOSHI SASAKI U., TOMOHIRO S., YILMAZ F.
International Journal of Pure and Applied Mathematics, vol.103, no.3, pp.537-545, 2015 (Scopus) identifier

A Note On k Tridiagonal k Toeplitz Matrices

KIRKLAR E., YILMAZ F.
Alabama Journal of Mathematics, vol.39, 2015 (Peer-Reviewed Journal)

The determinants of circulant and skew circulant matrices with Tribonacci numbers

BOZKURT D., FONSECA C. M. D., YILMAZ F.
MathematicalScience and Applications E-Notes, vol.2, no.2, pp.67-75, 2014 (Peer-Reviewed Journal)

A note on symmetric k tridiagonal matrix family and the Fibonacci numbers

YILMAZ F., SOGABE T.
International Journal of Pure and Applied Mathematics, vol.96, no.2, pp.289-298, 2014 (Scopus) Creative Commons License identifier

On the Pell sequence and Hessenberg matrices

YILMAZ F., BOZKURT D.
Selcuk Journal of Applied Mathematics, pp.27-32, 2012 (Peer-Reviewed Journal)

Note on one type of matrix and Fibonacci numbers

YILMAZ F., KIYAK H., GÜRSES İ., AKBULAK M., BOZKURT D.
Far East Journal of Mathematics, vol.40, no.2, pp.267-275, 2010 (Peer-Reviewed Journal) identifier

The Generalized Order k Jacobsthal Numbers

YILMAZ F., BOZKURT D.
International Journal of Contemporary Mathematical Sciences, vol.4, no.34, pp.1685-1694, 2009 (Peer-Reviewed Journal)

Refereed Congress / Symposium Publications in Proceedings

Some Characterizations for Harmonic Complex Fibonacci Sequences

Karaca E., YILMAZ F.
2nd International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2021, Salamanca, Spain, 1 - 02 July 2021, vol.384, pp.159-165 identifier

ON ONE TYPE OF SYMMETRIC MATRICES WITH HARMONIC FIBONACCI ENTRIES

AKBIYIK M., YAMAÇ AKBIYIK S., YILMAZ F.
International Online Conference on Differential Equations, Control and Optimization DECOP’21, Turkey, 27 October 2021

De-Moivre’s and Euler Formulas for Matrices of Hybrid Numbers

AKBIYIK M., YAMAÇ AKBIYIK S., KARACA E., YILMAZ F.
II. International Conference on Mathematics and its Applications in Science and Engineering (ICMASE-2021), Spain, 01 July 2021

SOME CHARACTERIZATIONS FOR SPLITQUATERNIONS

KARACA E., YILMAZ F., ÇALIŞKAN M.
International Conference on Mathematics and its Applications in Science and Engineering, 9 - 10 July 2020

TRAINING OPEN COURSES TO ASSESS MATHEMATICALCOMPETENCIES

YILMAZ F., Vaquero J. M., Dios A. Q.
International Conference on Mathematics and Its Applications in Science and Engineering, 9 - 10 July 2020

SOME APPLICATIONS OF EIGENVALUE AND EIGENVECTORS INENGINEERING

YILMAZ F., Mazilu I. M.
International Conference on Mathematics and its Applications in Science and Engineering, 9 - 10 July 2020

Solving real life problems using matrices and determinants

YILMAZ F., Mierlus Mazilu I., Rasteiro D.
19th Conference on Applied Mathematics, APLIMAT 2020, Bratislava, Slovakia, 4 - 06 February 2020, pp.1131-1139 identifier

Some practical applications of matrices and determinants in real life

Mierlus Mazilu I., YILMAZ F.
19th Conference on Applied Mathematics, APLIMAT 2020, Bratislava, Slovakia, 4 - 06 February 2020, pp.814-823 identifier

Some applications of linear algebra to sociology, chemistry and networks

HEVEŞ V., YILMAZ F.
International Conference on Mathematics:An Istanbul Meeting for World Mathematicians, 3 - 05 July 2019

Balancing Sayıları ve Blok Matrisler

HEVEŞ V., YILMAZ F.
14. Ankara Matematik G¨unleri (AMG 2019), Turkey, 28 - 29 June 2019

On Skew-Centrosymmetric Matrices

ÖZKAN M., YILMAZ F.
International Conference on Mathematics and Mathematics Education, Ordu, Turkey, 27 - 29 June 2018

Basic mathematics assessment in engineeringdegrees: case study

YILMAZ F., Vaquero J. M., Caceres M. J., Rodriguez G., Dios A. Q.
EDUCON2018 – IEEE Global Engineering Education Conference, 17 - 20 April 2018

On r-Circulant Matrices

KIRKLAR E., YILMAZ F.
International Conference on Mathematics and Mathematics Education(ICMME-2017), 11 - 13 May 2017

On one type of ladder graphs and the Pell numbers

KIRKLAR E., YILMAZ F.
International Conference on Mathematics and Mathematics Education(ICMME-2017), Harran University, Şanlıurfa, 11 - 13 May 2017

On adjacency matrices for one type of graph and their properties

KIRKLAR E., YILMAZ F.
1st International INES Academic Researches Congress (INES 2016), 3 - 05 November 2016

Some comments on skew symmetric matrices Pfaffian determinant and eigenvalue

KIRKLAR E., YILMAZ F.
1st International INES Academic Researches Congress (INES 2016), 3 - 05 November 2016

On linear algebra of adjacency matrices for one type of graph

PINAR E., YILMAZ F.
International Conference on Applied Mathematics and Analysis (ICAMA2016), 11 - 13 July 2016

On k Hessenberg Toeplitz matrices

KIRKLAR E., YILMAZ F.
International Conference on Applied Mathematics and Analysis, 11 - 13 July 2016

On some properties of Balance binomial graphs

KAR K., YILMAZ F.
International Conference on Applied Mathematics and Analysis, 11 - 13 July 2016

On circulant type matrices with generalized number sequences

KIRKLAR E., YILMAZ F.
Antalya Algebra Days-XVII, 20 - 24 May 2015

k Tridiagonal k Toeplitz matrisler ve Bazı Özellikleri

KIRKLAR E., YILMAZ F.
MATDER 13. Matematik Sempozyumu, Turkey, 15 - 17 May 2014

On symmetric k tridiagonal matrix family and the Fibonacci numbers

YILMAZ F., SOGABE T.
Conference on Mathematics and Its applications-2014, 14 - 17 November 2014

The Balancing and Lucas Balancing numbers and k tridiagonal matrices

KIRKLAR E., YILMAZ F.
Karatekin Mathematics Days 2014- International Mathematics Symposium, 11 - 13 June 2014

k Tridiaagonal k Toeplitz matrisler ve Bazı Özellikleri

KIRKLAR E., YILMAZ F.
MATDER 13. Matematik Sempozyumu, Karabük, Turkey, 14 - 17 May 2014

Bidiagonal Matrices and The Fibonacci and Lucas Numbers

YILMAZ F., BOZKURT D.
Conference on Matrix Analysis and its Applications, Herceg-Novi, Montenegro, 16 - 20 September 2013

Hessenberg matrices and their some applications

AKTAŞ İ., YILMAZ F., KÖSE H.
4th INTERNATIONAL CONFERENCE ON MATRIX ANALYSIS AND APPLICATIONS, Konya, Turkey, 2 - 05 July 2013

On determinantal representation of the generalized Fibonacci numbers their sums and Hessenberg matrices

YILMAZ F., BOZKURT D.
International Conference on Applied Analysis and Algebra, 20 - 24 June 2012

Determinants and inverses of circulant matrices with Pell and Pell Lucas numbers

YILMAZ F., BOZKURT D.
SIAM Conference on Applied Linear Algebra, 18 - 22 June 2012

One type of matrix family and the Fibonacci numbers

YILMAZ F., BOZKURT D.
International Conference of Jangjeon Mathematical Society- ICJMS’2011, 20 - 23 July 2011

Pell sayı dizisi üzerine

YILMAZ F., BOZKURT D.
Ereğli Tebliğ Günleri, Konya-2011, Turkey, 28 - 29 April 2011

On Adjacency Matrix of One Type of Graph and Pell Numbers

YILMAZ F., BOZKURT D.
World Congress on Engineering (WCE 2011), London, Canada, 6 - 08 July 2011, pp.202-204 identifier identifier

Powers of Persymmetric for one type of Anti Tridiagonal Matrices of Even Order

AKBULAK M., YILMAZ F., BOZKURT D.
The 3rd International Workshop of Matrix Analysis and Applications, July 9-13, Hangzhou, China, 2009, 9 - 13 July 2009

Complex Factorization of the Fibonacci Numbers by Anti Tridiagonal Matrix Method

AKBULAK M., YILMAZ F., BOZKURT D.
The 3rd International Workshop of Matrix Analysis and Applications, July 9-13, Hangzhou, China, 2009, 9 - 13 July 2009