Balıkesir Üniversitesi — ana sayfa AKADEMİK BİLGİ SİSTEMİ

Doç.Dr. BİLAL DEMİR

NECATİBEY EĞİTİM FAKÜLTESİ, MATEMATİK VE FEN BİLİMLERİ EĞİTİMİ BÖLÜMÜ, MATEMATİK EĞİTİMİ ANABİLİM DALI

Balıkesir Üniversitesi

Araştırmacı Kimlikleri

Akademik Göstergeler

  • Web of Science: 17 yayın, 60 atıf, h-indeks 4
  • Scopus: 9 yayın, 31 atıf, h-indeks 3
  • YÖKSİS: 20 yayın, 6 atıf, h-indeks 1

Makaleler (20)

  1. GENERALIZED PELL SEQUENCES RELATED TO THE EXTENDED GENERALIZED HECKE GROUPS (H)over-bar(3,q) AND AN APPLICATION TO THE GROUP (H)over-bar(3,3)
    BİROL Furkan,KORUOĞLU ÖZDEN,ŞAHİN RECEP,DEMİR BİLAL · HONAM MATHEMATICAL JOURNAL · 2019 · Uluslararası · DOI: 10.5831/HMJ.2018.40.3.197
  2. Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups
    Kaymak Sarıca Şule,DEMİR BİLAL,KORUOĞLU ÖZDEN,ŞAHİN RECEP · Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica · 2018 · Uluslararası · Q4 · DOI: 10.2478/auom-2018-0010
  3. On normal subgroups of generalized Hecke groups
    DEMİR BİLAL,KORUOĞLU ÖZDEN,ŞAHİN RECEP · Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica · 2016 · Uluslararası · Q3 · DOI: 10.1515/auom-2016-0035
  4. Conjugacy classes of extended generalized Hecke groups
    DEMİR BİLAL,KORUOĞLU ÖZDEN,ŞAHİN RECEP · Revista de la Union Matematica Argentina · 2016 · Uluslararası · Q3
  5. Some Normal Subgroups of Extended Generalized Hecke Groups
    DEMİR BİLAL,KORUOĞLU ÖZDEN,ŞAHİN RECEP · Hacettepe Journal of Mathematics and Statistics · 2016 · Uluslararası · Q4 · DOI: 10.15672/HJMS.20164513108
  6. RELATIONSHIPS BETWEEN CUSP POINTS IN THE EXTENDED MODULAR GROUP AND FIBONACCI NUMBERS
    KORUOĞLU ÖZDEN,Kaymak Sarıca Şule,DEMİR BİLAL,Kaymak A Furkan · HONAM MATHEMATICAL JOURNAL · 2019 · Uluslararası · DOI: 10.5831/HMJ.2019.41.3.569
  7. Relationships between fixed points and eigenvectors in the group GL (2, ℝ)
    Demir B. · Fixed Point Theory and Applications · 2013 · Uluslararası · Q2 · DOI: 10.1186/1687-1812-2013-55
  8. On parabolic and elliptic elements of the modular group
    Demİr B. · Turkish Journal of Mathematics · 2022 · Uluslararası · Q2 · DOI: 10.55730/1300-0098.3299
  9. On the Solutions of the System of Difference Equations
    ŞİMŞEK DAĞISTAN, DEMİR BİLAL, ÇİNAR CENGİZ · Discrete Dynamics in Nature and Society · 2009 · Uluslararası · Q2 · DOI: 10.1155/2009/325296
  10. An efficient algorithm to generate dynamic substitution-boxes and its applications in image encryption
    Bilal M. · Alexandria Engineering Journal · 2025 · Uluslararası · Q1 · DOI: 10.1016/j.aej.2024.11.014
  11. FAREY GRAPH AND RATIONAL FIXED POINTS OF THE EXTENDED MODULAR GROUP
    KARATAŞ MUSTAFA, DEMİR BİLAL · COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS · 2022 · Uluslararası · DOI: 10.31801/cfsuasmas.1089480
  12. TETRANACCI GRAPHS
    EMİN AHMET,SARP ÜMİT,DEMİR BİLAL · Journal of Science and Arts · 2026 · Uluslararası · DOI: 10.46939/J.Sci.Arts-26.2-a08
  13. Continued fractions related to a group of linear fractional transformations
    Demir B. · Open Mathematics · 2023 · Uluslararası · Q2 · DOI: 10.1515/math-2023-0117
  14. ROOTS OF PELL POLYNOMIALS
    BİROL FURKAN, KORUOĞLU ÖZDEN, DEMİR BİLAL · Electronic Journal of Mathematical Analysis and Applications · 2022 · Uluslararası · DOI: 10.21608/EJMAA.2022.292059
  15. Genişletilmiş modüler grubun H ̅_3,3 alt grubu ve Fibonacci sayıları
    BİROL Furkan,KORUOĞLU ÖZDEN,DEMİR BİLAL · Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi · 2018 · Ulusal · DOI: 10.25092/baunfbed.485633
  16. ON THE TOPOLOGICAL INDICES OF A GENERALIZED GRAPH FAMILY USED IN NUMBER-THEORETIC GRAPH REALIZATIONS
    Demir B. · Gulf Journal of Mathematics · 2026 · Uluslararası · Q3 · DOI: 10.56947/gjom.v22i2.4197
  17. A Note on Transitive Action of the Extended Modular Group on Rational Numbers
    DEMİR BİLAL · Fundamentals of Contemporary Mathematical Sciences · 2022 · Uluslararası · DOI: 10.54974/fcmathsci.1082199
  18. Conjugacy classes of extended generalized hecke groups
    Demir B. · Revista De La Union Matematica Argentina · 2015 · Uluslararası · Q3
  19. Genişletilmiş öodüler grubun H ̅_3,3 alt grubu ve Fibonacci sayıları
    BİROL Furkan,KORUOĞLU ÖZDEN,DEMİR BİLAL · Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi · 2018 · Ulusal
  20. x_n+1=max{1/x_n,y_n/x_n}, y_n+1=max{1/y_n,x_n/y_n} Denklem Sisteminin Çözümleri
    ŞİMŞEK DAĞISTAN, DEMİR BİLAL, KURBANLI ABDULLAH SELÇUK · SELÇUK ÜNİVERSİTESİ AHMET KELEŞOĞLU EĞİTİM FAKÜLTESİ DERGİSİ · 2009 · Ulusal

Bildiriler (20)

  1. Data Obfuscation Using the Modular Group and Continued Fractions
    DEMİR BİLAL,KORUOĞLU ÖZDEN · 6th International Artificial Intelligence and Data Science Congress · 2026 · Tam metin bildiri
  2. Veri Görselleştirmede Optimizasyon: Poligonal Döngü Grafları İçin Düzen Algoritmalarında Hesaplama Karmaşıklığı Ve Görsel Kalite Analizi
    SARP ÜMİT,EMİN AHMET,DEMİR BİLAL · 2nd International Congress on Social Innovation and Data Analytics · 2025 · Tam metin bildiri
  3. Solving a Diophantine Equation Involving Pell and Mersenne Numbers
    EMİN AHMET,SARP ÜMİT,DEMİR BİLAL · 5th International Symposium of Scientific Research and Innovative Studies · 2025 · Tam metin bildiri
  4. On the Second Zagreb Index of Triangular Cycle Graphs
    SARP ÜMİT,DEMİR BİLAL,EMİN AHMET · 9th International Students Science Congress · 2025 · Tam metin bildiri
  5. TOPOLOGICAL INDICES OF A SPACER DENDRIMER GRAPH
    DEMİR BİLAL,EMİN AHMET,SARP ÜMİT · V. INTERNATIONAL BANDIRMA SCIENTIFIC STUDIES CONGRESS · 2025 · Tam metin bildiri
  6. A MACHINE LEARNING APPROACH FOR PREDICTING EDGE INTERSECTIONS IN POLYGONAL CYCLE GRAPHS
    SARP ÜMİT,EMİN AHMET,DEMİR BİLAL · V. INTERNATIONAL BANDIRMA SCIENTIFIC STUDIES CONGRESS · 2025 · Tam metin bildiri
  7. On the First Zagreb Index of Triangular Cycle Graphs
    DEMİR BİLAL,SARP ÜMİT,EMİN AHMET · 5th International Symposium of Scientific Research and Innovative Studies · 2025 · Tam metin bildiri
  8. MANIPULATING IMAGES WITH SL(2,Z): A GROUP-THEORETIC APPROACH
    DEMİR BİLAL,KORUOĞLU ÖZDEN · 5th International Artificial Intelligence and Data Science Congress (ICADA) · 2025 · Tam metin bildiri
  9. VISUALIZATION AND EDGE INTERSECTION ANALYSIS OF POLYGONAL CYCLE GRAPHS
    SARP ÜMİT,EMİN AHMET,DEMİR BİLAL · 5th International Artificial Intelligence and Data Science Congress (ICADA) · 2025 · Tam metin bildiri
  10. An Application of Conjugacy Classes of Torsion Elements in Extended GeneralizedHecke Groups
    DEMİR BİLAL,KORUOĞLU ÖZDEN · 3rd International Eurasian Conference on Mathematical Sciences and Applications · 2014 · Özet bildiri
  11. On \lambda Continued Fractions Associated With Hecke Groups
    DEMİR BİLAL, KORUOĞLU ÖZDEN · International Conference West of The East, East of The West · 2013 · Özet bildiri
  12. H_p,/infty{\lamda} Genişletilmiş Genel Hecke Gruplarının Komütatör alt Grupları
    DEMİR BİLAL, KORUOĞLU ÖZDEN · 13. Matematik Sempozyumu · 2014 · Özet bildiri
  13. INTEGER CONTINUED FRACTIONS AND THE MODULAR GROUP
    DEMİR BİLAL · International Symposium of Scientific Research and Innovative Studies · 2021 · Özet bildiri
  14. ROSEN CONTINUED FRACTIONS AND ELEMENTS OF EXTENDED HECKE GROUPS
    DEMİR BİLAL · 5th INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES · 2021 · Özet bildiri
  15. Conjugacy classes of extended generalized Hecke groups
    DEMİR BİLAL, KORUOĞLU ÖZDEN · Antalya Algebra Days XVI · 2014 · Özet bildiri
  16. Genel Hecke ve Genişletilmiş Genel Hecke Gruplarının Bazı Normal Alt Grupları
    Kaymak Sarıca Şule, DEMİR BİLAL, KORUOĞLU ÖZDEN, ŞAHİN RECEP · 9. Ankara Matematik Günleri · 2014 · Özet bildiri
  17. On Fixed Points of Extended Hecke Groups
    DEMİR BİLAL, KORUOĞLU ÖZDEN · International Congress in Honour of Professor Ravi P. Agarwal · 2014 · Özet bildiri
  18. The Relationships Between the Fixed Points and Eigenvectors in the group GL(2,R)
    DEMİR BİLAL, ÖZGÜR NİHAL, KORUOĞLU ÖZDEN · International Congress in Honour of Professor Hari M. Srivastava · 2012 · Özet bildiri
  19. Farey Sequence, Linear Diophantine Equations And Modular Group
    DEMİR BİLAL · 8TH INT. IFS AND CONTEMPORARY MATHEMATICS CONFERENCE · 2021 · Özet bildiri
  20. On Parabolic and Elliptic Elements of Modular Group
    DEMİR BİLAL · II. International Conference on Mathematics and its Applications in Science and Engineering · 2021 · Özet bildiri

Kitaplar ve Kitap Bölümleri (3)

  1. Theoretical And Applied Research In Natural Sciences And Mathematics
    Kamada-Kawai Algorithm: A Comprehensive Analysis from Global Graph Layout to Modern Challenges · SARP ÜMİT,DEMİR BİLAL · Duvar Publications · 2025 · ISBN 978-625-8734-08-9
  2. Modern Research and Investigations in Natural and Mathematical Sciences III
    A Graph-Theoretic Study Ofpolygonal Core Spacer Dendrimers (Chapter 1) · DEMİR BİLAL,SARP ÜMİT · Livre de Lyon Publishing · 2025 · ISBN 978-2-38236-916-6
  3. Advances in Scientific Research
    Hexagonal Cycle Graphs: A Graph-Theoretic Realization of Hexagonal Numbers · EMİN AHMET,DEMİR BİLAL,SARP ÜMİT · Duvar Publications · 2025 · ISBN 978-625-5885-84-5

Projeler (1)

  1. Genişletilmiş Genel Hecke Grupları
    Yükseköğretim Kurumları tarafından destekli bilimsel araştırma projesi · Tamamlandı · 2013 - 2015

Yönetilen Tezler (1)

  1. Genişletilmiş modüler grubun rasyonel sayıları sabitleyen elemanları üzerine
    MUSTAFA KARATAŞ · Yüksek Lisans · 2023 · Tamamlandı

Tezler (2)

  1. Genişletilmiş genel Hecke grupları
    2011 - 2015
  2. Probleme dayalı öğrenme modelinin nümerik analiz dersinde uygulanması
    2010 - 2011

Eğitim Bilgileri (3)

  1. Lisans - MATEMATİK ÖĞRETMENLİĞİ PR.
    SELÇUK ÜNİVERSİTESİ · 2004 - 2009
  2. Yüksek Lisans - MATEMATİK EĞİTİMİ (YL) (TEZLİ)
    BALIKESİR ÜNİVERSİTESİ · 2010 - 2011
  3. Doktora - MATEMATİK (DR)
    BALIKESİR ÜNİVERSİTESİ · 2011 - 2015