Назад на Катедра за математику и методику наставе математике

Проф. др Александар Петојевић

Редовни професор

Катедра за математику и методику наставе математике

Е-пошта

apetoje@uns.ac.rs

Телефон

025-412-030 локал 170

Канцеларија / Консултације

Консултације:
четвртак од 12 до 14 часова

ORCID: https://orcid.org/0000-0003-1491-165X

Mathematical Specialization

  • Integer sequences
  • Special functions in Number Theory

Selected Publications

  1. A. Petojević, S. Orlić and J. L. Palacios, Triangular Root: A Solution to Three Conjectures and a Bridge Between c-Cyclic Graphs and Ramanujan τ Numbers, Mathematics 14 (18), 3364 (2026). https://doi.org/10.3390/math14183364
  2. A.Petojević, S. Pellis and S. Orlić, Borel regularization and Mellin transform of factorial and left factorial series, Integral Transforms Spec. Funct. (2026). https://doi.org/10.1080/10652469.2026.2720256
  3. J. L. Palacios and A. Petojević, An edge operation that increases the hitting time index of trees, Mathematics, 14 (14), 2525, (2026).
  4. H. M. Srivastava and A. Petojević, Explicit formulas for some product series in the white noise theory and Lévy noise analysis, Georgian Math. J. (2026) https://doi.org/10.1515/gmj-2026-3029.
  5. S. Orlić, J. L. Palacios and A. Petojević, Hitting time index for broom graphs, AppliedMath 6 (2026), 93.
  6. A. Petojević, J. L. Palacios and S. Orlić, A new formula for the hitting time index of broom graphs, Mathematics 14 (12) 2174 (2026).
  7. M. Alegri, A. Petojević and S. Orlić, Author Correction to: Identities involving sum of divisors, compositions and integer partitions hiding in the q-binomial theorem, São Paulo J. Math. Sci. 20 (2026), Article 13.
  8. H.M. Srivastava, A. Petojević and S. Orlić, A new identity for the derivative of the q-digamma function and its applications, Bull. Sci. Math. 210 (2026), Article ID 103826.
  9. S. Tamura, J. L. Palacios and A. Petojević, Edge Addition and the Hitting Time Index of Trees, Utilitas Mathematica (2026).
  10. S. Orlić, S. Tamura, J. L. Palacios and A. Petojević, Hitting time index of trees: corrected bounds and sharpness via double brooms, J. Combin. Math. Combin. Comput. (2026).
  11. A.Petojević, T.Kim, J.Prajapati and J.López-Bonilla, On a certain type of lower Hessenberg-Toeplitz matrices and Ramanujan’s tau function, Advanced Studies in Contemporary Mathematics, 35 (2025), No. 4, 345-353.
  12. H.M. Srivastava, A. Petojević and S. Orlić, A new recurrence formula for the generalized Ramanujan τ-function and its special cases, J. Nonlinear Convex Anal. 26 (2025), 3091–3096.
  13. A. Petojević, H.M.Srivastava and S.Orlić, A Class of the Generalized Ramanujan Tau Numbers and Their Associated Partition Functions, Axioms, 14, (2025), Article 451.
  14. A.Petojević, H.M.Srivastava and M.Gorjanac Ranitović, Some new results associated with Ramanujan’s numbers τ(n), Miskolc Math. Notes, 26, (2025), No.1, 485-491.
  15. A.Petojević, M.Gorjanac Ranitović, D.Rastovac and Milinko Mandić, The golden ratio, factorials, and the Lambert W function, J. Integer Seq., 27 (2024), Article 24.5.1.
  16. A.Petojević, H.M.Srivastava and D.Rastovac, A new representation formula for the Bernoulli numbers, Russ. J. Math. Phys., Vol. 31, No. 2, (2024), 336–339.
  17. S.Orlić, M.Marić and A.Petojević, Implementing the flipped classroom model in mathematics class teaching, South African Journal of Education, 43 (4), (2023), Article 2223.
  18. A.Petojević, S.Gordić, M.Mandić and M.Gorjanac Ranitović, New equivalents of Kurepa’s hypothesis for left factorial, Axioms, 12 (8), (2023), Article 785.
  19. M.Maričić, S.Cvjetićanin, Anđić, M.Marić & A.Petojević, Using instructive simulations to teach young students simple science concepts: Evidence from electricity content, Journal of Research on Technology in Education, (2023), 1-20.
  20. B.D. Miljković, A.V. Petojević, M.R. Žižović, On-line Student Emotion Monitoring as a Model of Increasing Distance Learning Systems Efficiency, The New Educational Review, Vol. 47. No. 1, (2017), 225- 240.
  21. B.D.Miljković, M.R. Žižović, A. Petojević, N. Damljanović, New weighted sum model, Filomat 31:10, (2017), 2991 – 2998.
  22. D.Djurčić, M.Žižović, A.Petojević, Note on selection principles of Kočinac, Filomat 26:6, (2012), 1291 – 1295.
  23. A.Petojević, H.M. Srivastava, Computation of Euler’s Type Sums of the Products of Bernoulli Numbers, Appl. Math. Lett., 22 (2009), 796-801.
  24. A.Petojević, H.M. Srivastava, Computation of the Mordell-Tornheim Zeta Values, Proc. Amer. Math. Soc. 136 (2008), 2719-2728.
  25. A.Petojević, New Sums of Products of Bernoulli numbers, Integral Transform. Spec. Funct., 19 (2) (2008), 105- 114.
  26. A.Petojević, A note about the Pochhammer Symbol, Math. Morav., 12 (1) (2008), 37- 42.
  27. A.Petojević, The { Ki(z) }i=1∞ functions, Rocky Mountain J. Math., 36 (5) (2006), 1635- 1650.
  28. A.Petojević, New Recurrent Formulae of P(n) and τ(n) functions, Math. Morav., 7 (2003).
  29. A.Petojević, The function vMm(s;a,z) and some well-known sequences, Journal of Integer Sequences, 5 (2002), 1- 16.
  30. G.V.Milovanović, A.Petojević, Generalized factorial function, numbers and polynomials and related problems, Math. Balkanica, New Series, 16 (1-4) (2002), 113- 130.
  31. A.Petojević, M. Žižović, Trees and the Kurepa hypothesis for left factorial, FILOMAT, 13 (1999), 31- 40.
  32. A. Petojević, On Kurepa’s hypothesis for left factorial, FILOMAT, 12 (1998), 29- 37.