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A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials $N_{n}^{(p)}(w)$ and the Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser
Externí odkaz:
http://arxiv.org/abs/2410.18056
In this paper, we construct the pair of finite bivariate biorthogonal M-Konhauser polynomials, reduced to the finite orthogonal polynomials $M_{n}^{(p,q)}(t)$, by choosing appropriate parameters in order to obtain a relation between the Jacobi Konhau
Externí odkaz:
http://arxiv.org/abs/2409.03355
In this paper, a finite set of biorthogonal polynomials in two variables is produced using Konhauser polynomials. Some properties containing operational and integral representation, Laplace transform, fractional calculus operators of this family are
Externí odkaz:
http://arxiv.org/abs/2408.07811
Recently, \"Ozarslan and Elidemir (2023) introduced a methodology for constructing two-variable biorthogonal polynomial families with the help of one-variable biorthogonal and orthogonal polynomial families. The primary objective of the paper is to i
Externí odkaz:
http://arxiv.org/abs/2405.15043
Autor:
ÖZARSLAN SAYDAR, Özlem1 ozlem.saydar@gmail.com
Publikováno v:
Optimum: Journal of Economics & Management Sciences / Ekonomi ve Yönetim Bilimleri Dergisi. 2024, Vol. 11 Issue 1, p56-78. 23p.
Autor:
Altan, Dilan1,2 (AUTHOR) alicanozarslan@gmail.com, Özarslan, Ali Can1,2 (AUTHOR) cemozel@yildiz.edu.tr, Özel, Cem1,2 (AUTHOR) yuce.sevil@gmail.com, Tuzlakoğlu, Kadriye3 (AUTHOR) ktuzlakoglu@yalova.edu.tr, Sahin, Yesim Muge4,5 (AUTHOR) ymugesahin@arel.edu.tr, Yücel, Sevil1,2 (AUTHOR)
Publikováno v:
Polymers (20734360). Jul2024, Vol. 16 Issue 14, p2066. 18p.
Autor:
ÖZARSLAN, Metin1 metino@hacettepe.edu.tr
Publikováno v:
Türük: International Language Literature & Folklore Researches Journal / Uluslararası Dil Edebiyat Halkbilimi Araştırmaları Dergisi. eyl2023, Vol. 11 Issue 34, p1-11. 11p.
Publikováno v:
Journal of Taibah University for Science, Vol 18, Iss 1 (2024)
In this paper, we introduce general sequence of twice-iterated [Formula: see text]-(degenerate) Gould–Hopper Appell polynomials (TI-DGHAP) via discrete [Formula: see text]-Gould–Hopper Appell convolution. We obtain some of their characteristic pr
Externí odkaz:
https://doaj.org/article/a6be8c061d2b4fa08c7609cbf218991e
Autor:
Özarslan, Evren, Yolcu, Cem, Ordinola, Alfredo, Boito, Deneb, Haije, Tom Dela, Jensen, Mathias Højgaard, Herberthson, Magnus
Probing the transport of fluids within confined domains is important in many areas including material science, catalysis, food science, and cell biology. The diffusion propagator fully characterizes the diffusion process, which is highly sensitive to
Externí odkaz:
http://arxiv.org/abs/2301.00116