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pro vyhledávání: '"Özarslan A"'
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
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
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 DOĞAN, Başak1 bozarslan@gelisim.edu.tr
Publikováno v:
Journal of Social Sciences Eskisehir Osmangazi University / Eskisehir Osmangazi Üniversitesi Sosyal Bilimler Dergisi. tem2024, Vol. 25 Issue 2, p342-358. 17p.
Autor:
Özarslan, Evren, Herberthson, Magnus
In a recent work, a method for the magnetic resonance (MR) measurement of the true diffusion propagator was introduced, which was subsequently implemented and validated for free diffusion on a benchtop MR scanner. Here, we provide a brief theoretical
Externí odkaz:
http://arxiv.org/abs/2112.15584
Publikováno v:
Front. Phys. 10:830274, 2022
Diffusion Magnetic Resonance Imaging (dMRI) is an imaging technique with exquisite sensitivity to the microstructural properties of heterogeneous media. The conventionally adopted acquisition schemes involving single pulsed field gradients encode the
Externí odkaz:
http://arxiv.org/abs/2112.03817