Dr. Emin za

(Professor of Analysis)

Phone: +90 0 312 2977879, Office: 242

E-Mail: ozcag1@hacettepe.edu.tr

Curriculum Vitae

Research Interests:
Generalized Functions, Convolitions and Multiplication of Generalized Functions, Special Functions(Gamma Function, Beta Function etc..), Compositions of Generalized Functions.
Publications

Research Papers:

  1. B. Fisher, I. Ege and E. za, "On the Neutrix composition of the distributions x-s lnm |x| and xr ", Applicable Analysis, Vol. 89, No. 3 (2010), 365-375.
  2. T. Kraiweeradechachai, S. Orankitjaroen, B. Fisher and E. za, "Further Results on the Neutrix Composition of the Delta Function", East_West J. Math. Vol.11, No. 2 (2009), 151-164.
  3. B. Fisher, Inci Ege and E. Ozcag, "On the composition of the distrubitions x-1 lnm |x| and xr ", Hacettepe J. Math. and Stat. 37(2008) , 1-8.
  4. E. Ozcag, Inci Ege, H. Gurcay and B. Jolevska-Tuneska, "On Partial Derivatives of the Incomplete Beta Function", Appl. Math. Lett. 21(2008) 675-681.
  5. E. Ozcag, Inci Ege and H. Gurcay, "An Extension of Incomplete Beta Function for Negative Integers", J. Math. Anal. Appl. , 338(2008), 984-992.
  6. B. Fisher, T. Kraiweeradechachai and E. za, "Some Results on the composition and Neutrix Composition of the Delta Function", Proceedings of IV congress of mathematicians of Republic of Macedonia, pages 321-330, (19-22 October 2008), Struga, Macedonia.
  7. B. Fisher, T. Kraiweeradechachai and E. Ozcag, "Results on the Neutrix Composition of the Delta Function", Hacettepe J. Math. and Stat. 36(2) (2007) , 147-156.
  8. E. Ozcag, H. Gurcay, I. Ege and B. Jovelska-Tuneska, "On the non-commutative neutrix product of Distributions", Abstract and Applied Analysis , Article Number: 81907, published in 2007.
  9. E. Ozcag and Umit Gulen, "On the non-commutative neutrix product of Dirac-delta distribution with an infinitely differentiable function" , Integral Trans.Spec. Funct. 18(5)(2007), 337-350.
  10. E. Ozcag, Inci Ege and H. Gurcay, "On powers of the Heaviside Function for Negative Integers, J. Math. Anal. Appl. , 326(2007), 101-107.
  11. B. Jolevska-Tuneska and E. Ozcag, "On Differential Equations with Nonstandard Coefficients ", Applicable Anal. Discrete Math. 1(2007), 276-283.
  12. B. Jolevska-Tuneska and E. Ozcag, " On the composition of Distributions xs ln jxj and jxj ", Int. J. Math. Math. Sci. ID 60129, 2007.
  13. E. Ozcag, Inci Ege, H. Gurcay and B. Jolevska-Tuneska, " Some Remarks on Incomplete Gamma Function ", Editor in : K. Tas, Mathematical Methods in Engineering, p. 97-108, Springer, 2007.
  14. B. Fisher, Inci Ege, E. Ozcag, "On the non-commutative neutrix product of the distributions δ(r)(x) and x-slnm|x| ", Sarajevo J. Math., 2(15)(2006),no.2. 211-221.
  15. Fisher, B., Ozcag, E. and Gulen, U. "A theorem on the commutative neutrix product of distributions." Sarajevo J. Math., 1(14)(2005),no.2. 235-242.
  16. B. Fisher, M. Telci and E. Ozcag, Results on the error function and the neutrix convolution , Rad. Mat., 12(2003), 81-90.
  17. B. Fisher, B. Jolevska-Tuneska, E. Ozcag, Further results on the composition of distributions , Integ. Trans. Spe. Funct., 13(2002), 109-116.
  18. B. Fisher, M. Telci and E. Ozcag, A neutrix convolution of functions , Stud. Cercet. Stiinct. Ser. Mat. Univ. Bacuau, 11(2002), 65-75.
  19. E. Ozcag, B. Fisher and H. Gurcay, Some results on the non-commutative neutrix product of distributions , Integ. Trans. Spe. Funct., 11(2001), 49-60.
  20. E. Ozcag, Defining the k-th powers of the Dirac-delta distribution for negative integers , Appl. Math. Lett., 14(2001), 419-423.
  21. E. Ozcag, U. Gulen and B. Fisher, On the distribution k + ; Integ. Trans. Spe. Funct., 9(2000), 57-64.
  22. B. Fisher, E. Ozcag and U. Gulen, The exponential integral and the commutative convolution product , J. Anal. 7(1999), 7-20.
  23. Emin Ozcag, A note on the non-commutative neutrix product of distributions , Proc. Indian Acad. Sci. Math. Sci., 109(1999), 87-94.
  24. Emin Ozcag, The non-commutative neutrix product of distributions F ( x + ; r ) ln x + and ( s ) ( x ) , Indian Pure Appl. Math., 30(1999), 175-181.
  25. Emin Ozcag, On the neutrix convolution product of x r ln x and x s + , Proc. Indian Acad. Sci. Math. Sci., 108(1998), 41-49.
  26. Emin Ozcag and H. Kansu, A result of neutrix convolution of distributions, Indian Pure Appl. Math., 28(1998), 1399-1141.
  27. B. Fisher, E. Savas, S. Pehlivan and Emin Ozcag, Results on the noncommutative neutrix product of distributions , Math. Balkanica, 8(1994), 75-83. (This paper is unfortunately rewieved twice)
  28. Emin Ozcag and B. Fisher, Some results on the commutative neutrix convolution product of distributions , Ann. Univ. Mariae Curie-Skolodowsa Sect. A 47(1993), 104-115.
  29. E. Ozcag, B. Fisher and S. Pehlivan, The commutative neutrix product of distributions x r and ( s ) ( x ) , Complex Analysis and Generalized Functions, (Varna-1991), 241-246, Publ. House Bulgar. Acad. Sci. Sofia, 1993.
  30. B. Fisher, H. Kou and E. Ozcag, The composition of distributions , Complex Analysis and Generalized Functions, (Varna-1991), 63-72, Publ. House Bulgar. Acad. Sci. Sofia, 1993.
  31. B. Fisher and E. Ozcag, A result on distributions and the change of variable , Publ. Math. Debrecen, 43(1993), 265-272.
  32. B. Fisher and E. Ozcag, Result on the non-commutative neutrix convolution product of distributions , Math. Montisnigri, 1(1993), 27-39.
  33. B. Fisher and E. Ozcag, Results on the commutative neutrix convolution product of distributions , Arch. Math. (Brno) 29(1993), 105-117.
  34. E. Ozcag, The neutrix convolution product x r ln x x + , Doga Mat. 17(1993), 195-215.
  35. B. Fisher, E. Ozcag and L. C. Kuan, A commutative neutrix convolution of distributions and the exchange formula Arch: Math. (Brno), 28(1992), 187-197.
  36. B. Fisher and E. Ozcag, A result on the commutative neutrix convolution product of distributions , Doga Mat., 16(1992), 33-45.
  37. E. Ozcag and B. Fisher, On partial derivatives of the Beta function , Rostock. Kolloq. Math., 45(1991), 43-56.
  38. E. Ozcag and B. Fisher, Some results on the product of of distributions and the change of variable , Comment. Math. Univ. Carolin., 32(1991), 677-685.
  39. B. Fisher and E. Ozcag, the neutrix convolution product x r x + , Publ. Inst. Math. (Beograd), 49(19919, 141-154.
  40. E. Ozcag and B. Fisher, On defining the distribution x r + ln x + , Rostock. Math. Kolloq., 42(1990), 25-30.
  41. E. Ozcag and B. Fisher, Results on the neutrix convolution product of distributions , Rad. Mat., 6(1990), 323-339.
Conferences and Meetings
  • 2010 Mathematical Conference dedicated to Prof.Dr.Gorgi Cupona, September 10-13, Ohrid, Macedonia.
  • 2010 Analysis, Topology and Applications, June 20-25, Vrnjacka Banja, Serbia.
  • 2009 International Congress on Mathematics, MICOM 2009, Mathematical Society of South-Eastern Europe MASSEE, September 16-20, Ohrid, Republic of Macedonia.
  • 2009 International Conference on Generalized Functions, GF2009, August 31-September 4, Vienna, Austria.
  • 2008 IV. Congress of the Mathematicians of Republic of Macedonia, 19-22 October, Struga, Macedonia.
  • 2008 Workshop on Mathematical Methods in Applied Sciences, Uluda University, Bursa.
  • 2008 The Workshop of Turkish Scientific Journals at ISI Citation Index, Ankara.
  • 2007 International Conference on Generalized Functions, Bedlowa-Poznan, Poland.
  • 2006 International Symposium on Mathematical Methods in Engineering, Ankara, Turkey.
  • 2004 III. International Conference on Topology , September 1-4, St. Cyril and Methodius University, Skopje, Macedonia.
  • 2003 On the neutrix convolution product of distributions , Seminar, Trakya University.
  • 2003 Generalized Functions spaces , Seminar, Gazi University.
  • 1996 Composition of Distributions , Seminar, Akdeniz University.
  • 1991 International Conference on Generalized Functions, Varna, Bulgaria.
Courses Given

Undergraduate Courses:

Analysis I - IV, Calculus I, Calculus II, Advanced Calculus I, Advanced Calculus II, Linear Algebra I, Linear Algebra II, Functional Analysis.

Graduate Courses:

Mathematical Method of Physics I, Mathematical Method of Physics II, The Theory of Generalized Functions I, The Theory of Generalized Functions II, The Applications of Neutrix Calculus in Distribution Theory, Special Functions, Functional Analysis I.

Thesis Supervised
  • 2009 Inci Ege. Ph.D. Thesis. An applications of Neutrix Calculus to Special Functions in Conjunction with Beta and Gamma Functions.
  • 2009 Asl Kesinbaolu. M.Sc. Thesis. Equilibrium Points in n-Person Games.
  • 2005 Umit Gulen. Ph.D. Thesis. Applications of Neutrix Calculus to Generalized Functions.
  • 2003 Inci Ege. M.Sc. Thesis. The Neutrix Product of Generalized Functions.
  • 1998 Umit Gulen. M.Sc. Thesis. The Composition of Distributions.
  • 1995 Hacer Kansu. M.Sc. Thesis. The Convolution Product of Distributions.
Projects
  • Neutrix Products and Convolutions of Distributions and Applications Macedonia - Turkey(Tubitak) Joint project, Project No. TBAG-U/133(105T057).
  • Computer-Aided Education in a Multi-User Environment. Hacettepe University, Project No. 94-04-007-001.
Hacettepe University Department of Mathematics
06800 Beytepe Ankara TURKEY