Weighted sharing of a small function by a meromorphic function and its derivative

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Weighted sharing of a small function by a meromorphic function and its derivative

In this paper, we study the relationship between a meromorphic function and its k-th order derivative which share a small function with weight(multiplicities) l(a positive integer)ignoring multiplicity. MR(2010) Subject Classification: 30D35.

متن کامل

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 کامل

Meromorphic Function That Shares One Small Function with Its Derivative

In this paper we study the problem of meromorphic function sharing one small function with its derivative and improve the results of K.-W. Yu and I. Lahiri and answer the open questions posed by K.-W. Yu.

متن کامل

Unicity of Meromorphic Function Sharing One Small Function with Its Derivative

In this article, a meromorphic function means meromorphic in the open complex plane. We assume that the reader is familiar with the Nevanlinna theory of meromorphic functions and the standard notations such as T r, f , m r, f , N r, f ,N r, f , and so on. Let f and g be two nonconstant meromorphic functions; a meromorphic function a z /≡∞ is called a small functions with respect to f provided t...

متن کامل

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

15 صفحه اول

ذخیره 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: Computers & Mathematics with Applications

سال: 2007

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2006.10.026