Work Experience

Education & Training

  • Ph.D. 2016

    Applied Mathematic and Computer Science

    Eastern Mediterranean University

  • Master2006

    Harmonic Analysis

    Urmiyeh State University

  • Bachelor2004

    Pure Mathematic

    Shiraz State University

Honors, Awards and Grants

Research Projects

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Unification of q–exponential function and related q-numbers and polynomials.

Conference Paper In AIP Conference Proceedings . AIP Publishing., Volume Vol. 1997, No. 1, , Issue analysis, 2018, Pages p. 020035

Abstract

The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the generating function. We unify all forms of q–exponential functions by one more parameter. We study some conditions on this parameter to related this to some classical results for q-Bernoulli numbers and polynomials.


Özet

Bu yazının asıl amacı, üretme fonksiyonuna dayalı olarak bir genelleştirilmiş Bernoulli polinomları ve Euler polinomları sınıfını tanıtmak ve araştırmaktır. Tüm q – üstel fonksiyonların biçimlerini bir parametre daha birleştiriyoruz. Bunu, q-Bernoulli sayıları ve polinomları için bazı klasik sonuçlarla ilişkilendirmek için bu parametrede bazı koşulları inceliyoruz.

Approximation Properties of-Bernoulli Polynomials. In Abstract and Applied Analysis

Original Article Hindawi., Volume (Vol. 2017), Issue analysis, 2017, Pages Article ID 9828065, 6 pages

Abstract

We study the -analogue of Euler-Maclaurin formula and by introducing a new -operator we drive to this form. Moreover, approximation properties of -Bernoulli polynomials are discussed. We estimate the suitable functions as a combination of truncated series of -Bernoulli polynomials and the error is calculated. This paper can be helpful in two different branches: first we solve the differential equations by estimating functions and second we may apply these techniques for operator theory.


Özet

Euler-Maclaurin formülünün -analogunu inceliyoruz ve bu forma süren yeni-uygulayıcıyı tanıtarak. Ayrıca, -Bernoulli polinomlarının yaklaşım özellikleri tartışılmıştır. Uygun fonksiyonları kesilmiş -Bernoulli polinomları dizisinin bir kombinasyonu olarak tahmin ediyoruz ve hata hesaplanıyor. Bu makale iki farklı dalda yardımcı olabilir: önce diferansiyel denklemleri fonksiyonları tahmin ederek çözeriz, sonra da bu teknikleri operatör teorisi için kullanabiliriz.

Currrent Teaching

  • 2019 YAZ

    DIFFERENTIAL GEOMETRY I

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  • 2019 YAZ

    MATHEMATICS FOR ENGINEERS

    .

  • 2019 YAZ

    PROBABILITY AND STATISTICS I

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Teaching History

  • 2017 BAHAR

    ADVANCE BIOSTATISTICS

    1.Identify and test assumptions for statistical tests. 2. Select, conduct and report appropriate statistics to test hypotheses with a) One independent variable and three or more levels (aka groups): ONE-WAY ANOVA, KRUSKAL-WALLIS ANOVA b) One independent variable and three or more levels with confounding variable (aka covariate): ANCOVA c) One group measured repeatedly with and without covariate: REPEATED MEASURES ANOVA & ANCOVA, FRIEDMAN ANOVA d) Two or more independent variables with 2 or more groups with and without covariate: TWO-WAY ANOVA, TWO-WAY ANCOVA aka FACTORIAL ANOVA e) Two or more independent variables with 1 group measured repeatedly with and without covariate: TWO-WAY REPEATED MEASURES ANOVA & ANCOVA f) Two or more independent variables and mixed methods with and without covariate: MIXED DESIGN ANOVA g) One or more independent variables and the prediction of one or more dependent variables: REGRESSION, MULTIPLE REGRESSION, and Logistic Regression h) Multiple Independent and Dependent Variables: MANOVA & RM MANOVA 3. Create tables to report findings. 4. Compare the utility of multivariate statistical methods in transcultural health research. 5. Interpret reported statistical findings.

  • 2017 GÜZ

    ADVANCE BIOSTATISTICS

    1.Identify and test assumptions for statistical tests. 2. Select, conduct and report appropriate statistics to test hypotheses with a) One independent variable and three or more levels (aka groups): ONE-WAY ANOVA, KRUSKAL-WALLIS ANOVA b) One independent variable and three or more levels with confounding variable (aka covariate): ANCOVA c) One group measured repeatedly with and without covariate: REPEATED MEASURES ANOVA & ANCOVA, FRIEDMAN ANOVA d) Two or more independent variables with 2 or more groups with and without covariate: TWO-WAY ANOVA, TWO-WAY ANCOVA aka FACTORIAL ANOVA e) Two or more independent variables with 1 group measured repeatedly with and without covariate: TWO-WAY REPEATED MEASURES ANOVA & ANCOVA f) Two or more independent variables and mixed methods with and without covariate: MIXED DESIGN ANOVA g) One or more independent variables and the prediction of one or more dependent variables: REGRESSION, MULTIPLE REGRESSION, and Logistic Regression h) Multiple Independent and Dependent Variables: MANOVA & RM MANOVA 3. Create tables to report findings. 4. Compare the utility of multivariate statistical methods in transcultural health research. 5. Interpret reported statistical findings.

  • 2017 GÜZ

    ANALYSIS I

    -

  • 2016 GÜZ

    ALGEBRA I

  • 2016 BAHAR

    ALGEBRA II

    teaching by explaining main concepts and theorem

  • 2016 GÜZ

    DIFFERENTIAL GEOMETRY I

  • 2016 BAHAR

    DIFFERENTIAL GEOMETY II

    ...

  • 2017 YAZ

    BASIC MATHEMATICS FOR PHARMACIST

    ...

  • 2017 BAHAR

    ADVANCE BIOSTATISTICS

    .

  • 2017 GÜZ

    ADVANCE BIOSTATISTICS

    .

  • 2018 BAHAR

    STATISTIC AND ITS APPLICATIONS IN SOCIAL SCIENCES

    -

  • 2019 BAHAR

    COMPLEX ANALYSIS I

    Belirtilen kavramlar hakkında yorum yapmak.

  • 2016 GÜZ

    THEORY OF COMPLEX FUNCTIONS I

  • 2017 YAZ

    MATHEMATICS I

    -

  • 2018 GÜZ

    MATHEMATICS II

    -

  • 2019 GÜZ

    MATHS II (SOCIAL)

    -

  • 2018 AKADEMİK YILI

    MATHEMATICS AND GEOMETRY For Designers I

    ...

  • 2016 BAHAR

    MATHEMATICS AND GEOMETRY For Designers I

    ...

  • 2017 BAHAR

    MATHEMATICS AND GEOMETRY For Designers I

    ...

  • 2017 GÜZ

    MATHEMATICS AND GEOMETRY For Designers I

    ...

  • 2018 GÜZ

    MATHEMATICS AND GEOMETRY For Designers I

    ...

  • 2019 GÜZ

    MATHEMATICS AND GEOMETRY For Designers I

    ...

  • 2016 BAHAR

    MATHEMATICS AND GEOMETRY For Designers II

    -

  • 2017 BAHAR

    MATHEMATICS AND GEOMETRY For Designers II

    -

  • 2017 GÜZ

    MATHEMATICS AND GEOMETRY For Designers II

    -

  • 2017 BAHAR

    PROBABILITY AND STATISTICS I

    -

  • 2018 BAHAR

    PROBABILITY AND STATISTICS I

    -

  • 2019 BAHAR

    PROBABILITY AND STATISTICS I

    -

  • 2016 GÜZ

    PROBABILITY AND STATISTICS I

    -

  • 2017 GÜZ

    PROBABILITY AND STATISTICS I

    -

  • 2018 GÜZ

    PROBABILITY AND STATISTICS I

    -

  • 2019 GÜZ

    PROBABILITY AND STATISTICS I

    -

  • 2018 YAZ

    PROBABILITY AND STATISTICS I

    -

  • 2018 BAHAR

    NUMBER THEORY

    ...

  • 2019 GÜZ

    NUMBER THEORY

    ...

  • 2016 YAZ

    NUMERICAL ANALYSIS

    -

  • 2016 YAZ

    NUMERICAL ANALYSIS I

    -

  • 2018 GÜZ

    TOTPOLOGY I

    ...

  • 2019 BAHAR

    TOPOLOGY II

    -

  • 2019 BAHAR

    MATHEMATICS FOR TOURISM AND HOTEL MANAGEMENT STUDENTS

    -

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