Zobrazeno 1 - 10
of 35
pro vyhledávání: '"YIK MAN CHIANG"'
Autor:
KAM HANG CHENG1 henry.cheng@family.ust.hk, YIK MAN CHIANG1 machiang@ust.hk, AVERY CHING2 Avery.Ching@warwick.ac.uk
Publikováno v:
New Zealand Journal of Mathematics. 2022, Vol. 53, p63-79. 17p.
Autor:
Yik-Man Chiang, Kam Hang Cheng
Publikováno v:
Constructive Approximation. 54:259-294
We establish a Wiman–Valiron theory of a polynomial series based on the Askey–Wilson operator $${\mathcal {D}}_q$$ , where $$q\in (0,1)$$ . For an entire function f of log-order smaller than 2, this theory includes (i) an estimate which shows tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9275e69fe7280afe057fd8d4c2201f6c
https://doi.org/10.1007/s00365-021-09528-3
https://doi.org/10.1007/s00365-021-09528-3
We study monodromy reduction of Fuchsian connections from a sheave theoretic viewpoint, focusing on the case when a singularity of a special connection with four singularities has been resolved. The main tool of study is {based on} a bundle modificat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edb2da85636d1e6fd2734d618cd09012
Autor:
Yik-Man Chiang, Shao-Ji Feng
Publikováno v:
Advances in Mathematics. 329:217-272
This paper establishes a version of Nevanlinna theory based on Askey–Wilson divided difference operator for meromorphic functions of finite logarithmic order in the complex plane C . A second main theorem that we have derived allows us to define an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b77031a0e62abf17d955c4294303d34
https://doi.org/10.1016/j.aim.2018.02.006
https://doi.org/10.1016/j.aim.2018.02.006
Autor:
Yik-Man Chiang1 machiang@ust.hk, Ruijsenaars, Simon N. M.1
Publikováno v:
Studies in Applied Mathematics. Apr2006, Vol. 116 Issue 3, p257-287. 31p.
Autor:
Kam Hang Cheng, Yik-Man Chiang
Sitting at the top level of the Askey-scheme, Wilson polynomials are regarded as the most general hypergeometric orthogonal polynomials. Instead of a differential equation, they satisfy a second order Sturm-Liouville type difference equation in terms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83e2069a925051cd08d539b79588d307
Autor:
Yik-Man Chiang, Kit Wing Yu
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 142:449-477
New necessary and sufficient conditions are given for the quantization of a class of periodic second-order non-homogeneous ordinary differential equations in the complex plane. The problem is studied from the viewpoint of complex oscillation theory f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4653e1344e87b0d6b4e3c01166c874d0
https://doi.org/10.1017/s0308210510000223
https://doi.org/10.1017/s0308210510000223
Autor:
Shao-Ji Feng, Yik-Man Chiang
Publikováno v:
The Ramanujan Journal. 16:105-129
We investigate the growth of the Nevanlinna characteristic of f(z+η) for a fixed η∈C in this paper. In particular, we obtain a precise asymptotic relation between T(r,f(z+η)) and T(r,f), which is only true for finite order meromorphic functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c6a92ac8aa33c0bccc675044d5047d3
https://doi.org/10.1007/s11139-007-9101-1
https://doi.org/10.1007/s11139-007-9101-1
Autor:
Yik-Man Chiang, Xu-Dan Luo
Publikováno v:
Michigan Math. J. 66, iss. 3 (2017), 451-480
By extending the idea of a difference operator with a fixed step to varying-steps difference operators, we have established a difference Nevanlinna theory for meromorphic functions with the steps tending to zero (vanishing period) and a difference Ne
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63da9b39d9b68fc3716eb404536dc4b1
http://arxiv.org/abs/1510.02576
http://arxiv.org/abs/1510.02576
Autor:
Yik-Man Chiang, Mourad E. H. Ismail
Publikováno v:
Canadian Journal of Mathematics. 58:726-767
We show that the value distribution (complex oscillation) of solutions of certain periodic second order ordinary differential equations studied by Bank, Laine and Langley is closely related to confluent hypergeometric functions, Bessel functions and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::985fd1d20443fb041881732a8e5fd471
https://doi.org/10.4153/cjm-2006-030-x
https://doi.org/10.4153/cjm-2006-030-x