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Lekesiz, Esra

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Profile URL
https://hdl.handle.net/20.500.12416/8748
Name Variants
Lekesiz, E. Guldogan
Lekesiz, Esra Guldogan
Job Title
Dr. Öğr. Üyesi
Email Address
 esraguldoganlekesiz@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Current Staff
Website
ORCID ID
0000-0001-7653-8745
Scopus Author ID
Turkish CoHE Profile ID
257317
Google Scholar ID
UQ2cTB0AAAAJ
WoS Researcher ID
AAJ-5215-2021
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Documents

15

Citations

34

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Scholarly Output

3

Articles

3

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11/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

0

Scopus Citation Count

2

WoS h-index

0

Scopus h-index

1

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0

WoS Citations per Publication

0.00

Scopus Citations per Publication

0.67

Open Access Source

1

Supervised Theses

0

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Journal of Computational and Applied Mathematics2
Symmetry-Basel1
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Now showing 1 - 3 of 3
  • Thumbnail Image
    Article
    Citation - Scopus: 1
    Finite Bivariate Biorthogonal I-Konhauser Polynomials
    (Elsevier, 2026) Lekesiz, Esra Guldogan; Cekim, Bayram; Ozarslan, Mehmet Ali
    In the present study, a finite set of biorthogonal polynomials in two variables, produced from Konhauser polynomials, is introduced. Some properties like Laplace transform, integral and operational representation, fractional calculus operators of this family are investigated. Also, we compute Fourier transform for this new set and discover a new family of finite biorthogonal functions with the help of Parseval's identity. Further, in order to have semigroup property, we modify this finite set by adding two new parameters and construct fractional calculus operators. Thus, integral equation and integral operator are obtained for the modified version.
  • Thumbnail Image
    Article
    Finite Orthogonal M Matrix Polynomials
    (MDPI, 2025) Lekesiz, Esra Guldogan
    In this study, we aim to construct a finite set of orthogonal matrix polynomials for the first time, along with their finite orthogonality, matrix differential equation, Rodrigues' formula, several recurrence relations including three-term relation, forward and backward shift operators, generating functions, integral representation and their relation with Jacobi matrix polynomials. Thus, the concept of "finite", which is used to impose parametric constraints for orthogonal polynomials, is transferred to the theory of matrix polynomials for the first time in the literature. Moreover, this family reduces to the finite orthogonal M polynomials in the scalar case when the degree is 1, thereby providing a matrix generalization of finite orthogonal M polynomials in one variable.
  • Thumbnail Image
    Article
    Citation - Scopus: 1
    Finite Bivariate Biorthogonal N - Konhauser Polynomials
    (Taylor & Francis Ltd, 2025) Lekesiz, E. Guldogan; Cekim, B.; Ozarslan, M. A.
    A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials $ N_{n}<^>{\left (p\right ) }\left (w\right ) $ Nn(p)(w) and Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser polynomials. Also, we obtain several applications of finite bivariate biorthogonal N - Konhauser polynomials.