Doç. Dr. HACER ÖZDEN AYNA

Makaleler 35

1. Topological Analysis of medicines used for the treatment of HIV/AIDS Using Graph Theory, Linear Regression Models, and Data Science Approaches

Özden Ayna H., Yurttaş Güneş A., Cangül İ. N.

ICICS 2025 Proceedings, Taylor & Francis , cilt.2026, ss.1-11, 2026 (Düzenli olarak gerçekleştirilen hakemli kongrenin bildiri kitabı)

2. On connected unicyclic semiregular graphs: Approach to generating functions

Özden Ayna H., Yurttaş Güneş A., Cangül İ. N., Şimşek Y., Kım D.

Montes Taurus Journal of Pure and Applied Mathematics , cilt.8, sa.2, ss.27-38, 2026 (Scopus)

3. Delay-Induced Stability Transitions and Emergent Population Cycles in a Generalized Ecological Food Chain

Dipesh D., Kumar P., ÖZDEN AYNA H., CANGÜL İ. N.

Mathematics , cilt.14, sa.14, 2026 (SCI-Expanded, Scopus)

4. Effect of Vertex and Edge Deletion on Total Irregularity Index

Gunes A. Y., Ayna H. O., cangul i. n.

Journal of New Theory , sa.55, ss.1-13, 2026 (TRDizin)

5. Koopman Spectrum RL for Bifurcation Control: Data-Driven Policy Optimization in Spectral Subspaces

Dipesh D., Dhatterwal J. S., ÖZDEN AYNA H.

Mathematics , cilt.14, sa.11, 2026 (SCI-Expanded, Scopus)

6. A hybrid neutrosophic over soft plithogenic topological approach with artificial neural networks for multi-criteria decision making

Parthiban Y., Raghavendran P., Ayna H. O., Thiravidarani J.

Mathematics in Engineering, Science and Aerospace , cilt.17, sa.2, ss.753-779, 2026 (Scopus)

7. Vertex Switching of Some Graph Classes

YURTTAŞ GÜNEŞ A., Ayna H. O., CANGÜL İ. N., Agarwal P., Jain S., Batihaa I.

Boletim da Sociedade Paranaense de Matematica , cilt.44, sa.9, 2026 (ESCI, Scopus)

8. Delay-Induced Stability Transitions and Hopf Bifurcation in a Model of Cumulative Hot Pollutant Concentration

Dipesh D., Kumar P., ÖZDEN AYNA H., CANGÜL İ. N.

Symmetry , cilt.18, sa.3, 2026 (SCI-Expanded, Scopus)

9. Investigating the role of allelochemicals in plant population dynamics via the stability analyses, equilibrium point and Hopf-bifurcation: a delay-differential model

YURTTAŞ GÜNEŞ A., Dipesh D., ÖZDEN AYNA H.

Applied Mathematics in Science and Engineering , cilt.34, sa.1, 2026 (SCI-Expanded, Scopus)

10. Topological Analysis of NSAID Drugs Using Graph Theory and Linear Regression Models

Raghavendra M. R., Prakasha K. N., Dixit A. C., ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA , cilt.44, ss.20, 2026 (ESCI, Scopus)

11. Mathematical Analysis of Medicines Applied in Fungal Treatment Using Topological Graph Indices

Raghavendra M., Prakasha K., Dixit A. C., Ayna H. O., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

Boletim da Sociedade Paranaense de Matematica , cilt.44, sa.11, ss.1-7, 2026 (ESCI, Scopus)

12. Magnetic separation in graphs

ÖZDEN AYNA H., CANGÜL İ. N.

Mathematical and Computer Modelling of Dynamical Systems , cilt.32, sa.1, 2026 (SCI-Expanded, Scopus)

13. Topological architecture of derived graphs by means of novel Sombor index

Ayna H. O., CANGÜL İ. N.

Montes Taurus Journal of Pure and Applied Mathematics , cilt.8, sa.1, ss.140-148, 2026 (Scopus)

14. A novel algebraic technique for adjacency matrices of some derived graphs

ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., Delen S., Huilgol M. I., Ozmen B., CANGÜL İ. N.

Mathematical and Computer Modelling of Dynamical Systems , cilt.31, sa.1, 2025 (SCI-Expanded, Scopus)

15. Remarks on line graphs related to omega invariant

Özden Ayna H., Yurttaş Güneş A., Cangül İ. N.

Proceedings book of the 13th symposium on generating functions of special numbers and polynomials and their applications , cilt.13, ss.201-204, 2023 (Düzenli olarak gerçekleştirilen hakemli kongrenin bildiri kitabı)

16. The Effect of Vertex and Edge Deletion On The Independence Number of Graphs

Özen Erdoğan F., Cangül I. N., Özden Ayna H.

Far East Journal Of Applied Mathematics , cilt.112, ss.11-19, 2022 (Hakemli Dergi)

17. Independence number of graphs and line graphs of trees by means of omega invariant

ÖZDEN AYNA H., Zihni F. E., Erdogan F., CANGÜL İ. N., Srivastava G., Srivastava H. M.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS , cilt.114, sa.2, 2020 (SCI-Expanded, Scopus)

18. Üç yüzlü grafların doğru graflarının omega invaryantı

ÖZDEN AYNA H.

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.21, ss.657-665, 2019 (TRDizin)

19. New families of special numbers and polynomials arising from applications of p-adic q-integrals

Kim D., ÖZDEN AYNA H., ŞİMŞEK Y., YARDIMCI A.

ADVANCES IN DIFFERENCE EQUATIONS , 2017 (SCI-Expanded, Scopus)

20. Modification and unification of the Apostol-type numbers and polynomials and their applications

ÖZDEN AYNA H., ŞİMŞEK Y.

APPLIED MATHEMATICS AND COMPUTATION , cilt.235, ss.338-351, 2014 (SCI-Expanded, Scopus)

21. Modified Apostol Type Polynomials Arising From Umbral Calculus

Mansour T., ÖZDEN H., ŞİMŞEK Y.

ADVANCED STUDIES IN CONTEMPORARY MATHEMATICS , cilt.24, sa.2, ss.175-182, 2014 (Scopus)

22. Unified representation of the family of L-functions

ÖZDEN AYNA H., ŞİMŞEK Y.

JOURNAL OF INEQUALITIES AND APPLICATIONS , 2013 (SCI-Expanded, Scopus)

23. A unified presentation of certain meromorphic functions related to the families of the partial zeta type functions and the L-functions

Srivastava H. M., ÖZDEN AYNA H., CANGÜL İ. N., ŞİMŞEK Y.

APPLIED MATHEMATICS AND COMPUTATION , cilt.219, sa.8, ss.3903-3913, 2012 (SCI-Expanded, Scopus)

24. A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials

ÖZDEN AYNA H., ŞİMŞEK Y., Srivastava H. M.

COMPUTERS & MATHEMATICS WITH APPLICATIONS , cilt.60, sa.10, ss.2779-2787, 2010 (SCI-Expanded, Scopus)

25. On the behavior of two variable twisted p-adic Euler q-l-functions

ÖZDEN AYNA H., CANGÜL İ. N., ŞİMŞEK Y.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , cilt.71, sa.12, 2009 (SCI-Expanded, Scopus)

26. A new approach to q-Genocchi numbers and their interpolation functions

CANGÜL İ. N., ÖZDEN AYNA H., ŞİMŞEK Y.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS , cilt.71, sa.12, 2009 (SCI-Expanded, Scopus)

27. Hurwitz type multiple Genocchi zeta function

Özden Ayna H., Cangül İ. N., Şimşek Y.

Numerical Analysis and Applied Mathematics, Computational Methods in Science and Engineering, AIP Conference Proceedings , cilt.1148, ss.781-784, 2009 (Hakemli Dergi)

28. A new extension of q-Euler numbers and polynomials related to their interpolation functions

ÖZDEN AYNA H., ŞİMŞEK Y.

APPLIED MATHEMATICS LETTERS , cilt.21, sa.9, ss.934-939, 2008 (SCI-Expanded, Scopus)

29. Interpolation function of the (h, q)-extension of twisted Euler numbers

ÖZDEN AYNA H., Simsek Y.

COMPUTERS & MATHEMATICS WITH APPLICATIONS , cilt.56, sa.4, ss.898-908, 2008 (SCI-Expanded, Scopus)

30. Multivariate interpolation functions of higher-order q-euler numbers and their applications

ÖZDEN AYNA H., CANGÜL İ. N., ŞİMŞEK Y.

ABSTRACT AND APPLIED ANALYSIS , 2008 (SCI-Expanded, Scopus)

31. Remarks on sum of products of (h, q)-twisted Euler polynomials and numbers

ÖZDEN AYNA H., CANGÜL İ. N., ŞİMŞEK Y.

JOURNAL OF INEQUALITIES AND APPLICATIONS , 2008 (SCI-Expanded, Scopus)

32. Euler polynomials associated with p-adic q-Euler measure

Özden Ayna H., Şimşek Y., Cangül İ. N.

General Mathematics , cilt.15, sa.23, ss.24-37, 2007 (Hakemli Dergi)

33. A Note on p-adic q-Euler Measure

Özden Ayna H., Şimşek Y., Hoon Rim S., Cangül İ. N.

Adv. Studies in Contemporary Maths., , cilt.14, sa.2, ss.233-239, 2007 (Hakemli Dergi)

34. The Number of Rational Points on Elliptic Curves y^{2}= x^{3}+b^{2} over Finite Fields

GEZER B., ÖZDEN H., TEKCAN A., BİZİM O.

Int. Jour. of Comp. and Math. Sci. , cilt.1, sa.3, ss.178-184, 2007 (Hakemli Dergi)

35. On the Quadratic Irrationals Quadratic Ideals and Indefinite Quadratic Forms

TEKCAN A., ÖZDEN H.

Bulletin of the Irish Mathematical Society , cilt.58, ss.69-79, 2006 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 27

1. Various Topological Graph Indices in Sierpinski Triangle Networks

AKDOĞAN İ., ÖZDEN AYNA H., KÜÇÜKOĞLU İ., YURTTAŞ GÜNEŞ A., ŞEN A., CANGÜL İ. N.

International Conference on Computer Sciences (IHCONCS 2026), Zagreb, Hırvatistan, 17 - 18 Eylül 2026, (Tam Metin Bildiri)

2. Evaluating Machine Learning Classifiers for Market Prediction in the Traveling Purchaser Problem

Şen A., Küçükoğlu İ., Yurttaş Güneş A., Özden Ayna H., Cangül İ. N.

The 4th International Conference on Applied Mathematics in Engineering (ICAME’26), Balıkesir, Türkiye, 2 - 04 Eylül 2026, ss.125, (Özet Bildiri)

3. Subdivisions of Sierpinski Triangle Graphs and Their Topological Graph Indices

Cangül İ. N., Şen A., Yurttaş Güneş A., Küçükoğlu İ., Özden Ayna H., Avşar F. A.

The 4th International Conference on Applied Mathematics in Engineering (ICAME’26), Balıkesir, Türkiye, 2 - 04 Eylül 2026, ss.157, (Özet Bildiri)

4. A New Topological Index for Supplier Selection in Procurement Plans

KÜÇÜKOĞLU İ., ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

9th International Conference on Computational Mathematics and Engineering Sciences, Diyarbakır, Türkiye, 17 Mayıs 2025, (Özet Bildiri)

5. Power Graphs of Some Graph Classes

Özmen B., Balseven Y., Köse D., ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

2nd International E-Conference on Mathematical and Statistical Science: A Selcuk Meeting, Konya, Türkiye, 05 Haziran 2023, (Özet Bildiri)

6. Omega Invariant of Second and Third Power Graphs of Tadpole Graphs

Köse D., Özmen B., Balseven Y., ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

2nd International E-Conference on Mathematical and Statistical Science: A Selcuk Meeting, Konya, Türkiye, 05 Haziran 2023, (Özet Bildiri)

7. Some New Properties of Line Graphs and Their Omega Invariants

Balseven Y., Köse D., Özmen B., YURTTAŞ GÜNEŞ A., ÖZDEN AYNA H., CANGÜL İ. N.

2nd International E-Conference on Mathematical and Statistical Science: A Selcuk Meeting, Konya, Türkiye, 05 Haziran 2023, (Özet Bildiri)

8. Remarks on line graphs related to omega invariant

ÖZDEN AYNA H., URLU ÖZALAN N., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

13th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications, Antalya, Türkiye, 11 - 13 Mart 2023, (Tam Metin Bildiri)

9. The number of realizations of a degree sequence

CANGÜL İ. N., ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., URLU ÖZALAN N., ÇEVİK A. S.

13th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications, Antalya, Türkiye, 11 - 13 Mart 2023, (Tam Metin Bildiri)

10. Realizability Properties of Some Sets of Intigers

YURTTAŞ GÜNEŞ A., ÖZDEN AYNA H., CANGÜL İ. N.

International Conference of Multidisciplinary Research, Karnataka, Hindistan, 22 - 24 Kasım 2022, ss.35, (Özet Bildiri)

11. Degree Sequences and Omega Invariant

ÖZDEN AYNA H., YURTTAŞ GÜNEŞ A., CANGÜL İ. N.

International Conference of Multidisciplinary Research, Karnataka, Hindistan, 22 Kasım 2022, ss.34, (Özet Bildiri)

12. Remarks on Dirichlet type L functions

ÖZDEN H.

26th International Conference of the Jangjeon Mathematical Society, Hindistan, 1 - 04 Ağustos 2013, (Özet Bildiri)

13. Unification of partial zeta functions

Srivastava H., Özden Ayna H., Cangül İ. N., Şimşek Y.

International Congress in Honour of Professor H. M. Srivastava, Bursa, Türkiye, 23 - 26 Ağustos 2012, (Yayınlanmadı)

14. Remarks on Unification of Generating Functions for the Family of Some Special Numbers and Polynomials

ÖZDEN H.

25th International Conference of the Jangjeon Mathematical Society, Güney Kore, 25 - 28 Temmuz 2012, (Özet Bildiri)

15. On generating functions of special numbers and polynomials

ÖZDEN H.

The 24th International Congress of The Jangjeon Mathematical Society, ICJMS’2011, Konya, Türkiye, 20 - 23 Temmuz 2011, (Özet Bildiri)

16. Unification of Generating Function of the Bernoulli, Euler and Genocchi Numbers and Polynomials

ÖZDEN AYNA H.

International Conference on Numerical Analysis and Applied Mathematics, Rhodes, Yunanistan, 19 - 25 Eylül 2010, cilt.1281, ss.1125-1128, (Tam Metin Bildiri)

17. Hurwitz Type Multiple Genocchi Zeta Function

ÖZDEN AYNA H., CANGÜL İ. N., ŞİMŞEK Y.

International Conference on Computational Methods in Science and Engineering, Hersonissos, Yunanistan, 25 - 30 Eylül 2008, cilt.1148, ss.781-783, (Tam Metin Bildiri)

18. Remarks on Interpolation Functions of q-Bernoulli Numbers

Özden Ayna H., Cangül İ. N., Şimşek Y.

The 20th Int. Congress of Jangjeon Math. Soc., , Bursa, Türkiye, 21 Ağustos 2008, ss.1-12, (Tam Metin Bildiri)

19. A new approach to q-Genocchi numbers and their interpolation functions

Cangül İ. N., Özden Ayna H., Şimşek Y.

World Congress of Nonlinear Analysts (WCNA), Florida, Amerika Birleşik Devletleri, 1 - 10 Temmuz 2008, ss.1-14, (Tam Metin Bildiri)

20. On the behaviour of two variable twisted p-adic Euler q-l-functions

Özden Ayna H., Cangül İ. N., Şimşek Y.

World Congress of Nonlinear Analysts (WCNA), Florida, Amerika Birleşik Devletleri, 01 Temmuz 2008, ss.1-13, (Tam Metin Bildiri)

21. Recurrence formulae for some special numbers

Cangül İ. N., Özden Ayna H., Şimşek Y.

Workshop on Mathematical Methods in Applied Sciences, Bursa, Türkiye, 22 Mayıs 2008, ss.1-6, (Tam Metin Bildiri)

22. Euler polynomials associated with p-adic q-Euler measure

Özden Ayna H., Şimşek Y., Cangül İ. N.

International Symposium on Complex Analysis, Sibiu, Romanya, 25 Ağustos 2007, ss.1-11, (Tam Metin Bildiri)

23. Generating functions and recurrence formulae for Bernoulli and Euler numbers

Cangül İ. N., Özden Ayna H., Şimşek Y.

International Symposium on Geometric Function Theory and Applications, İstanbul Kültür University, İstanbul, Türkiye, 20 Ağustos 2007, ss.1-16, (Tam Metin Bildiri)

24. A note on twisted Euler numbers and polynomials associated with basic l-functions

Özden Ayna H., Şimşek Y., Cangül İ. N.

International Symposium on Geometric Function Theory and Applications, İstanbul Kültür University, İstanbul, Türkiye, 20 Ağustos 2007, ss.1-6, (Tam Metin Bildiri)