17 citations · 33 across the 9 of their papers we have counts for
5 papers · 1 filter
Nevanlinna theory of the Askey-Wilson divided difference operator
Yik-Man Chiang, Shaoji Feng
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 $…
On the growth of logarithmic difference of meromorphic functions and a Wiman-Valiron estimate
Yik-Man Chiang, Shao-Ji Feng
The paper gives a precise asymptotic relation between higher order logarithmic difference and logarithmic derivatives for meromorphic functions with order strictly less then one. T…
Difference independence of the Riemann zeta function
Yik-Man Chiang, Shaoji Feng
It is proved that the Riemann zeta function does not satisfy any nontrivial algebraic difference equation whose coefficients are meromorphic functions with Nevanlinna character…
On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions
Yik-Man Chiang, Shaoji Feng
A crucial ingredient in the recent discovery by Ablowitz, Halburd, Herbst and Korhonen \cite{AHH}, \cite {HK-2} that a connection exists between discrete Painlevé equations and (fi…
On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
Y. M. Chiang, S. J. Feng
We investigate the growth of the Nevanlinna Characteristic of f(z+η) for a fixed ηin this paper. In particular, we obtain a precise asymptotic relation between T(r,f(z+η) and T(r,f…