Derivatives of meromorphic functions and sine function
نویسندگان
چکیده
منابع مشابه
Characteristic function of a meromorphic function and its derivatives
In this paper, some results of Singh, Gopalakrishna and Kulkarni (1970s) have been extended to higher order derivatives. It has been shown that, if $sumlimits_{a}Theta(a, f)=2$ holds for a meromorphic function $f(z)$ of finite order, then for any positive integer $k,$ $T(r, f)sim T(r, f^{(k)}), rrightarrowinfty$ if $Theta(infty, f)=1$ and $T(r, f)sim (k+1)T(r, f^{(k)}), rrightarrowinfty$ if $Th...
متن کاملcharacteristic function of a meromorphic function and its derivatives
in this paper, some results of singh, gopalakrishna and kulkarni (1970s) have been extended to higher order derivatives. it has been shown that, if $sumlimits_{a}theta(a, f)=2$ holds for a meromorphic function $f(z)$ of finite order, then for any positive integer $k,$ $t(r, f)sim t(r, f^{(k)}), rrightarrowinfty$ if $theta(infty, f)=1$ and $t(r, f)sim (k+1)t(r, f^{(k)}), rrightarrowinfty$ if $th...
متن کاملNon-real Zeros of Derivatives of Real Meromorphic Functions
The main result of the paper determines all real meromorphic functions f of finite order in the plane such that f ′ has finitely many zeros while f and f(k), for some k ≥ 2, have finitely many non-real zeros. MSC 2000: 30D20, 30D35.
متن کاملUniqueness of meromorphic functions sharing one value with their derivatives
In the paper we deal with the uniqueness problem of meromorphic functions sharing a finite value with their derivatives. The results in this paper improve those given by Lahiri-Sarkar, Liu-Yang and others. In addition, a recent result of the first present author is complemented in this paper.
متن کاملOn Meromorphic Functions That Share One Small Function with Their Derivatives
In this paper, we study the problem of meromorphic functions sharing a small function with its derivative and prove one theorem. The theorem improves the results of Lahiri-Sarkar [J.Ineq.Pure Appl.Math.5(1)(2004) Art.20.], Zhang[J.Inequal.Pure Appl.Math.6(4)(2005) Art.116].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 2015
ISSN: 0386-2194
DOI: 10.3792/pjaa.91.129