Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Tian-Xiao He"'
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021)
This paper presents a new approach to determine the number of solutions of three-variable Frobenius-related problems and to find their solutions by using order reducing methods. Here, the order of a Frobenius-related problem means the number of varia
Externí odkaz:
https://doaj.org/article/c92981e6884a482b822c44c237dfc77f
Autor:
Tian-Xiao He, Peter J.-S. Shiue
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2009 (2009)
Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2. The applications of the method to the Fibonacci and Lucas numbers, Chebyshev polynomials, th
Externí odkaz:
https://doaj.org/article/82282bbc52c94f73890fdb376ba7060e
Autor:
Butzer, Paul1 butzer@rwth-aachen.de, Tian-Xiao He2 the@iwu.edu, Markett, Clemens1 clemens.markett@t-online.de
Publikováno v:
Applicable Analysis & Discrete Mathematics. Apr2023, Vol. 17 Issue 1, p25-46. 22p.
Autor:
Tian-Xiao He1 the@iwu.edu, Shannon, Anthony G.2 t.shannon@warrane.unsw.edu.au, Shiue, Peter J.-S.3 shiue@unlv.nevada.edu
Publikováno v:
Annales Mathematicae et Informaticae. 2022, Vol. 55, p76-87. 12p.
Autor:
Jian-Jin Wu, Jie Jin, Yong-Hua Li, Chao Wang, Jun Bai, Qing-Jun Jiang, Tian-Xiao He, Shao-Jie Nie, Dong-Jie Li, Le-Feng Qu
Publikováno v:
Cell Cycle. 22:165-182
Atherosclerotic plaques belong to the common vascular disease in the aged, which rupture will lead to acute thromboembolic diseases, the leading cause of fatal cardiovascular events. Accumulating evidence indicates that the lncRNAs-miRNAs-mRNA regula
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bedf2397839180526324f5a55fd8f510
https://doi.org/10.1080/15384101.2022.2110446
https://doi.org/10.1080/15384101.2022.2110446
Autor:
Tian-Xiao He, Yuanziyi Zhang
Publikováno v:
Indian Journal of Pure and Applied Mathematics. 53:1058-1072
In this paper, we discuss centralizers in the Riordan group. We will see that Fa\`a di Bruno's formula is an application of the Fundamental Theorem of Riordan arrays. Then the composition group of formal power series in ${\cal F}_1$ is studied to con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f901182fc0f3f6a5568a96cc4b29d730
https://doi.org/10.1007/s13226-022-00218-9
https://doi.org/10.1007/s13226-022-00218-9
Autor:
Tian-Xiao He, José L. Ramírez
Publikováno v:
Special Matrices, Vol 10, Iss 1, Pp 153-165 (2021)
In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences. Many examples are given including dual of Hermite numbers and polynomials, dual of Bell numbers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9253c6f21283b41c9fa7b2acb22501d6
https://doaj.org/article/c8110a78b2884f69a5c922ba8a1a4ac8
https://doaj.org/article/c8110a78b2884f69a5c922ba8a1a4ac8
Autor:
Tian-Xiao He
Publikováno v:
Advances in Applied Mathematics. 144:102454
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b682c8d49d17c8fb0e82314e144b02ff
https://doi.org/10.1016/j.aam.2022.102454
https://doi.org/10.1016/j.aam.2022.102454
Autor:
Tian-Xiao He
Publikováno v:
Linear Algebra and its Applications. 604:236-264
We construct sequences of vertical and horizontal halves of various Riordan arrays by using the vertical and horizontal halve Riordan array transform operators. The sequence characterizations of halves of Riordan arrays are presented and applied to t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be331a2ad3eb8762912a161b1792f695
https://doi.org/10.1016/j.laa.2020.06.019
https://doi.org/10.1016/j.laa.2020.06.019
Autor:
Tian-Xiao He, Peter J. S. Shiue
Publikováno v:
Special Matrices, Vol 8, Iss 1, Pp 123-130 (2020)
This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fb1b557fd4cdfc2d959a3b2771165ca
https://doi.org/10.1515/spma-2020-0103
https://doi.org/10.1515/spma-2020-0103