Prof. ESRA DUMAN

Demonstratio Mathematica , vol.58, no.1, 2025 (SCI-Expanded, Scopus)

7. Advances in the generalized Cesàro polynomials

Duman O., Della Vecchia B., Erkus-Duman E.

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS , vol.116, no.4, pp.159-169, 2024 (ESCI)

8. Kantorovich Version of Vector-Valued Shepard Operators

Axioms , vol.13, no.3, pp.1-12, 2024 (SCI-Expanded)

9. Advances in the Continuous Dual Hahn Polynomials

Dumlupınar M., Erkus-Duman E.

JOURNAL OF MATHEMATICAL EXTENSION , vol.17, no.4, pp.1-18, 2023 (ESCI)

10. A new family of two-variable polynomials based on hermite polynomials

Erkus-Duman E., ÇİFTCİ H.

MATHEMATICA SLOVACA , vol.72, no.4, pp.885-898, 2022 (SCI-Expanded, Scopus)

11. Gottlieb Polynomials and Their q-Extensions

Erkus-Duman E., Choi J.

MATHEMATICS , vol.9, no.13, 2021 (SCI-Expanded, Scopus)

12. On Some Families of New Constructed Polynomials

Çiftci H., Erkuş-Duman E.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY , vol.43, pp.1111-1125, 2020 (SCI-Expanded, Scopus)

13. The Meixner Polynomials in Several Variables

International Journal of Applied Physics and Mathematics , vol.9, no.3, pp.144-151, 2019 (Peer-Reviewed Journal)

14. Generating Functions for k-Hypergeometric Functions

Korkmaz-Duzgun D., Erkus-Duman E.

International Journal of Applied Physics and Mathematics , vol.9, no.3, pp.119-126, 2019 (Peer-Reviewed Journal)

15. Extended Multivariable Fourth Type Horn Functions

GAZI UNIVERSITY JOURNAL OF SCIENCE , vol.32, no.1, pp.225-240, 2019 (ESCI, Scopus, TRDizin)

16. ON THE GOTTLIEB POLYNOMIALS IN SEVERAL VARIABLES

Erkuş-Duman E., Özmen N.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS , vol.34, pp.927-940, 2019 (ESCI)

17. Some Generating Functions For a Class of Hypergeometric Polynomials

Erkuş-Duman E., Çiftci H.

Gazi University Journal of Science , vol.31, no.4, pp.1179-1190, 2018 (ESCI, Scopus, TRDizin)

18. Fibonacci and Lucas Differential Equations

Application and applied mathematics , vol.13, no.2, pp.756-763, 2018 (ESCI)

19. Some Families of Generating Functions for the Generalized Cesaro Polynomials

Journal Of Computational Analysis And Applications , vol.25, no.4, pp.670-683, 2018 (Scopus)

20. AN EXTENSION OF A CLASS OF GENERATING FUNCTIONS FOR THE CESARO POLYNOMIALS OF THREE VARIABLES

ÖZMEN N., Erkus-Duman E.

JOURNAL OF SCIENCE AND ARTS , no.4, pp.925-936, 2018 (ESCI)

21. The Laguerre Type d-Orthogonal Polynomials

Journal of Science and Arts , vol.1, no.42, pp.95-106, 2018 (ESCI)

22. SOME NEW PROPERTIES OF UNIVARIATE AND MULTIVARIATE GOTTLIEB POLYNOMIALS

Tasdelen F., AKTAŞ R., Erkus-Duman E.

MISKOLC MATHEMATICAL NOTES , vol.19, no.2, pp.835-845, 2018 (SCI-Expanded, Scopus)

23. Harmonic functions associated with some polynomials in several variables

TURKISH JOURNAL OF MATHEMATICS , vol.42, no.4, pp.1803-1814, 2018 (SCI-Expanded, Scopus, TRDizin)

24. Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

Yalcin N. F., TAŞCI D., Erkus-Duman E.

MATHEMATICAL COMMUNICATIONS , vol.20, no.2, pp.241-251, 2015 (SCI-Expanded, Scopus)

25. GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS

Erkus-Duman E., TUĞLU N.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS , vol.18, no.5, pp.815-821, 2015 (SCI-Expanded, Scopus)

26. A generalization of the extended Jacobi polynomials in two variables

Aktaş R., Erkuş-Duman E.

Gazi University Journal of Science , vol.28, no.3, pp.503-521, 2015 (Scopus)

27. ON THE POISSON CHARLIER POLYNOMIALS

Serdica Mathematical Journal , vol.41, pp.457-470, 2015 (Peer-Reviewed Journal)

28. FAMILIES OF GENERATING FUNCTIONS FOR THE JACOBI AND RELATED MATRIX POLYNOMIALS

ALTIN A., ÇEKİM B., Erkus-Duman E.

ARS COMBINATORIA , vol.117, pp.257-273, 2014 (SCI-Expanded, Scopus)

29. Integral Representations for Bessel Matrix Functions

Çekim B., Erkuş-Duman E.

Gazi University Journal of Science , vol.27, no.1, pp.663-667, 2014 (Scopus)

30. New generating functions for the Konhauser matrix polynomials

Erkuş-Duman E., Çekim B.

Communications de la Faculté des Sciences de l'Université d'Ankara , vol.63, no.1, pp.35-41, 2014 (Peer-Reviewed Journal)

31. The Laguerre polynomials in several variables

AKTAŞ R., Erkus-Duman E.

MATHEMATICA SLOVACA , vol.63, no.3, pp.531-544, 2013 (SCI-Expanded, Scopus)

32. On a Family of Multivariate Modified Humbert Polynomials

AKTAŞ R., Erkus-Duman E.

SCIENTIFIC WORLD JOURNAL , 2013 (SCI-Expanded, Scopus)

33. Extended Jacobi Functions via Riemann-Liouville Fractional Derivative

ÇEKİM B., Erkus-Duman E.

ABSTRACT AND APPLIED ANALYSIS , 2013 (SCI-Expanded, Scopus)

34. STATISTICAL APPROXIMATION BY MEANS OF OPERATORS CONSTRUCTED BY q-LAGRANGE POLYNOMIALS

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS , vol.14, no.1, pp.67-77, 2012 (SCI-Expanded, Scopus)

35. STATISTICAL KOROVKIN-TYPE THEORY FOR MATRIX-VALUED FUNCTIONS

DUMAN O., Erkus-Duman E.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA , vol.48, no.4, pp.489-508, 2011 (SCI-Expanded, Scopus)

36. Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials

Erkus-Duman E., DUMAN O.

APPLIED MATHEMATICS AND COMPUTATION , vol.218, no.5, pp.1927-1933, 2011 (SCI-Expanded, Scopus)

37. Miscellaneous properties of some multivariable polynomials

Erkus-Duman E., ALTIN A., AKTAŞ R.

MATHEMATICAL AND COMPUTER MODELLING , vol.54, pp.1875-1885, 2011 (SCI-Expanded, Scopus)

38. MATRIX EXTENSIONS OF POLYNOMIALS IN SEVERAL VARIABLES

UTILITAS MATHEMATICA , vol.85, pp.161-180, 2011 (SCI-Expanded, Scopus)

39. STATISTICAL RATES IN APPROXIMATION BY POSITIVE LINEAR OPERATORS

DUMAN O., Ozarslan M. A., Erkus-Duman E.

MISKOLC MATHEMATICAL NOTES , vol.12, no.2, pp.159-166, 2011 (SCI-Expanded, Scopus)

40. Rates of Ideal Convergence for Approximation Operators

MEDITERRANEAN JOURNAL OF MATHEMATICS , vol.7, no.1, pp.111-121, 2010 (SCI-Expanded, Scopus)

41. On a multivariable extension for the extended Jacobi polynomials

Altin A., AKTAŞ R., Erkus-Duman E.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , vol.353, no.1, pp.121-133, 2009 (SCI-Expanded, Scopus)

42. Statistical Approximation for Stochastic Processes

Anastassiou G. A., DUMAN O., Erkus-Duman E.

STOCHASTIC ANALYSIS AND APPLICATIONS , vol.27, no.3, pp.460-474, 2009 (SCI-Expanded, Scopus)

43. Korovkin Type Error Estimates for Positive Linear Operators Involving Some Special Functions

Dogru O., Erkus-Duman E.

TURKISH JOURNAL OF MATHEMATICS , vol.33, no.1, pp.41-53, 2009 (SCI-Expanded, Scopus, TRDizin)

44. A q-extension of the Erkus-Srivastava polynomials in several variables

Erkus E., Srivastava H. M.

TAIWANESE JOURNAL OF MATHEMATICS , vol.12, no.2, pp.539-543, 2008 (SCI-Expanded, Scopus)

45. Integral-type generalizations of operators obtained from certain multivariate polynomials

Erkus-Duman E., DUMAN O.

CALCOLO , vol.45, no.1, pp.53-67, 2008 (SCI-Expanded, Scopus)

46. Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials

Erkus E., Duman O., Srivastava H. M.

APPLIED MATHEMATICS AND COMPUTATION , vol.182, no.1, pp.213-222, 2006 (SCI-Expanded, Scopus)

47. Statistical rates on the multivariate approximation theory

Duman O., Erkus E., Gupta V.

MATHEMATICAL AND COMPUTER MODELLING , vol.44, pp.763-770, 2006 (SCI-Expanded, Scopus)

48. The q-Lagrange polynomials in several variables

Altin A., Erkus E., Tasdelen F.

TAIWANESE JOURNAL OF MATHEMATICS , vol.10, no.5, pp.1131-1137, 2006 (SCI-Expanded, Scopus)

49. Approximation of continuous periodic functions via statistical convergence

Duman O., Erkus E.

COMPUTERS & MATHEMATICS WITH APPLICATIONS , vol.52, pp.967-974, 2006 (SCI-Expanded, Scopus)

50. Families of linear generating functions for polynomials in two variables

Altin A., Erkus E., Oezarslan M. A.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS , vol.17, no.5, pp.315-320, 2006 (SCI-Expanded, Scopus)

51. A unified presentation of some families of multivariable polynomials

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS , vol.17, no.4, pp.267-273, 2006 (SCI-Expanded, Scopus)

52. On a multivariable extension of the Lagrange-Hermite polynomials

Altin A., Erkus E.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS , vol.17, no.4, pp.239-244, 2006 (SCI-Expanded, Scopus)

53. A Korovkin type approximation theorem in statistical sense

Erkus E., Duman O.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA , vol.43, no.3, pp.285-294, 2006 (SCI-Expanded, Scopus)

54. On a hybrid family of summation integral type operators

Gupta V., Erkuş E.

Journal of Inequalities in Pure and Applied Mathematics , vol.7, no.1, pp.1-11, 2006 (Peer-Reviewed Journal)

55. A-statistical extension of the Korovkin type approximation theorem

Erkus E., Duman O.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES , vol.115, no.4, pp.499-508, 2005 (SCI-Expanded, Scopus)

56. A note on the Lagrange polynomials in several variables

Erkus E., Altin A.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS , vol.310, no.1, pp.338-341, 2005 (SCI-Expanded, Scopus)

57. The multivariate q Lagrange Hermite polynomials

Erkuş E.

International Journal of Computational and Numerical Analysis and Applications , vol.6, no.2, pp.143-151, 2004 (Peer-Reviewed Journal)

Papers Presented at Peer-Reviewed Scientific Conferences 25

1. A GENERALIZATION FOR THE HERMITE-BASED APPELL POLYNOMIALS

Soyarslan G., Erkus-Duman E.

6 th INTERNATIONAL CONFERENCE ON MULTIDISCIPLINARY SCIENTIFIC STUDIES, İstanbul, Turkey, 2 - 03 June 2023, pp.298-305, (Full Text)

2. SOME NEW RESULTS FOR THE WILSON POLYNOMIALS

Dumlupınar M., Erkus-Duman E.

ANKARA INTERNATIONAL CONGRESS ON SCIENTIFIC RESEARCH-VIII, Ankara, Turkey, 9 - 11 June 2023, pp.131-142, (Full Text)

3. A Generalization of Cesaro Polynomials in Several Variables and the Generalized Lauricella Functions

Erkus-Duman E., Özmen N.

7th International Conference on Recent Advanced in Pure and Applied Mathematics, Muğla, Turkey, 25 September 2020, pp.90, (Summary Text)

4. On Some Generalized Polynomials

Korkmaz Düzgün D., Erkus-Duman E.

7th International Conference on Recent Advanced in Pure and Applied Mathematics, Muğla, Turkey, 25 September 2020, pp.49, (Summary Text)

5. Generating Functions for The Extended MultivariableFourth Type Horn Functions

The 8th International Conference On Pure and Applied Mathematics, Brussels, Belgium, 22 - 25 July 2019, (Full Text)

6. Generating Functions for k-Hypergeometric Functions

ICPAM, Budapest, Hungary, 10 - 14 July 2018, (Full Text)

7. Gottlieb Polynomials in several Variables

Erkuş-Duman E., Düzgün D.

V. Kadın Matematikçiler Derneği Çalıştayı, Diyarbakır, Turkey, 5 - 07 May 2018, pp.12, (Summary Text)

8. On the generalized Sylvester polynomials

Erkuş-Duman E., Özmen N.

ISAAC 2017, Vaxjö, Sweden, 14 - 18 August 2017, pp.19, (Summary Text)

9. EXTENDED MULTIVARIABLE HYPERGEOMETRIC FUNCTIONS

ISAAC 2017, Vaxjö, Sweden, 14 - 18 August 2017, (Summary Text)

10. Extended Multivariable Fourth Type Horn Functions

Erkuş-Duman E., Düzgün D.

International Conference on Mathematics and Mathematics Education, Şanlıurfa, Turkey, 11 - 13 May 2017, (Summary Text)

11. On the Cesaro polynomials of three variables

International Conference on Mathematics and Engineering, İstanbul, Turkey, 10 - 12 May 2017, pp.378, (Summary Text)

12. Some New Properties of the Extended Generalized Hypergeometric Functions

ETAMM 2016, Perpignan, France, 30 May - 03 June 2016, (Summary Text)

13. On the Generalized Cesaro Polynomials

Erkuş-Duman E., Özmen N.

ETAMM 2016, Perpignan, France, 30 May - 03 June 2016, (Summary Text)

14. On the Poisson Charlier Polynomials

International Conference: Mathematics Days in Sofia, Sofija, Bulgaria, 7 - 10 July 2014, vol.41, pp.457-470, (Full Text)

15. Some Families of Generating Functions for Laguerre and Charlier Types d Orthogonal Polynomials

Güldoğan E., Erkuş-Duman E.

International Conference on Recenet Developments in Pure and Applied Mathematics - ICRAPAM 2014, Antalya, Turkey, 6 - 09 November 2014, (Full Text)

16. On the Generalized Bernoulli Euler and Genocchi Polynomials

International Conference on Recenet Developments in Pure and Applied Mathematics - ICRAPAM 2014, Antalya, Turkey, 6 - 09 November 2014, (Full Text)

17. Some Results For A Family of Multivariable Polynomials

11th International Conference of Numerical Analysis and Applied Mathematics, Rodos, Greece, 21 - 27 September 2013, vol.1558, pp.1124-1127, (Full Text)

18. Çok değişkenli Gottlieb polinomları

26.Ulusal Matematik Sempozyumu, Diyarbakır, Turkey, 4 - 07 September 2013, (Full Text)

19. On the g Jacobi matrix functions

Çekim B., Erkuş-Duman E.

Advances in Applied Mathematics and Approximation Theory, Ankara, Turkey, 17 - 20 May 2012, (Full Text)

20. Laguerre ve Konfluent Hipergeometrik Fonksiyonların Bir Matris Genellemesi

Çekim B., Erkuş-Duman E.

7. Ankara Matematik Günleri, Ankara, Turkey, 31 May - 01 June 2012, (Full Text)

21. Approximation by matrix valued linear positive operators

Duman O., Erkuş-Duman E.

Conference on Matrix Analysis and its Applications – MAT TRIAD, Lisbon, Portugal, 12 - 16 July 2011, (Full Text)

22. Integral representations for a class of polynomials in two variables

Mathematical Analysis, Differential Equations and Their Applications, Gazimagusa, Cyprus (Kktc), 12 - 15 September 2008, (Full Text)

23. Some Mixed Generating Relations for Some Families of Multivariable Polynomials

II. Ankara Matematik Günleri, Ankara, Turkey, 22 - 23 May 2008, (Full Text)

24. Pozitif lineer operatörler yardımıyla sürekli periyodik fonksiyonlara istatistiksel yaklaşım

Erkuş-Duman E., Duman O.

2nd Turkish World Mathematics Symposium, Sakarya, Turkey, 4 - 07 July 2007, (Full Text)

25. Çok Değişkenli Polinomların Çeşitli Ailelerinin Ortak Bir Gösterimi