Lekesiz, Esra Güldoğan

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Profile URL
https://hdl.handle.net/20.500.14411/7948
Name Variants
E.G.Lekesiz
L.,Esra Güldoğan
Esra Güldoğan, Lekesiz
Esra Guldogan, Lekesiz
Lekesiz,E.G.
Lekesiz, Esra Güldoğan
Lekesiz, Esra Guldogan
L., Esra Guldogan
E., Lekesiz
E.,Lekesiz
L.,Esra Guldogan
Guldogan Lekesiz, Esra
Guldogan, Esra
Job Title
Araştırma Görevlisi
Email Address
esra.guldogan@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

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Scholarly Output

4

Articles

4

Views / Downloads

6/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

13

Scopus Citation Count

12

Patents

0

Projects

0

WoS Citations per Publication

3.25

Scopus Citations per Publication

3.00

Open Access Source

3

Supervised Theses

0

JournalCount
Bulletin of the Iranian Mathematical Society1
Journal of Difference Equations and Applications1
Journal of Inequalities and Applications1
Symmetry1
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Now showing 1 - 4 of 4
  • Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Some Limit Relationships Between Some Two-Variable Finite and Infinite Sequences of Orthogonal Polynomials
    (Taylor & Francis Ltd, 2021) Guldogan Lekesiz, Esra; Aktas, Rabia
    The aim of paper is to give some limit relationships between finite and infinite sequences of orthogonal polynomials in two variables and to obtain the well-known relations of some infinite sets of two-variable orthogonal polynomials by taking limit of the properties verified by finite classes of two-variable orthogonal polynomials. Furthermore, the fourth-order partial differential equations satisfied by the polynomials, which are the products of finite orthogonal polynomials, are presented and by taking limit of the derived fourth-order equations, partial differential equations for some infinite sequences of two-variable orthogonal polynomials are found.
  • Thumbnail Image
    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On a Symmetric Generalization of Bivariate Sturm-Liouville Problems
    (Springer Singapore Pte Ltd, 2022) Tefo, Yves Guemo; Aktas, Rabia; Area, Ivan; Lekesiz, Esra Guldogan; Güldoğan Lekesiz, Esra
    A new class of partial differential equations having symmetric orthogonal solutions is presented. The general equation is presented and orthogonality is obtained using the Sturm-Liouville approach. Conditions on the polynomial coefficients to have admissible partial differential equations are given. The general case is analyzed in detail, providing orthogonality weight function, three-term recurrence relations for the monic orthogonal polynomial solutions, as well as explicit form of these monic orthogonal polynomial solutions, which are solutions of an admissible and potentially self-adjoint linear second-order partial differential equation of hypergeometric type.
  • Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Fourier Transforms of Some Finite Bivariate Orthogonal Polynomials
    (Mdpi, 2021) Guldogan Lekesiz, Esra; Aktas, Rabia; Masjed-Jamei, Mohammad
    In this paper, we first obtain the Fourier transforms of some finite bivariate orthogonal polynomials and then by using the Parseval identity, we introduce some new families of bivariate orthogonal functions.
  • Thumbnail Image
    Article
    Citation - WoS: 4
    Citation - Scopus: 5
    A New Family of Orthogonal Polynomials in Three Variables
    (Springer, 2020) Aktas, Rabia; Area, Ivan; Guldogan, Esra
    In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials. Sparse recurrence relations are derived by using ladder relations for shifted univariate Jacobi polynomials and bivariate polynomials on the triangle. Via these sparse recurrence relations, second order partial differential equations are presented. Some connection relations are obtained between these polynomials. Also, new results for the four-parameter three-variable polynomials on the simplex are given. Finally, some generating functions are derived.