Results 101 to 110 of about 2,380 (213)

Meromorphic function sharing a small function with a homogeneous differential polynomial

open access: yes, 2019
In this paper, we consider a Brück-type result for a homogeneous differential polynomial generated by a meromorphic function.
Indrajit Lahiri, Bipul Pal
core   +1 more source

A Principal Function Problem — Finding a meromorphic function with a given boundary behavior or singularity

open access: yes, 2013
For a given meromorphic function s on an open subset A of an (open) Riemann surface R, we want to find a meromorphic function q on R such that both q/s and s/q are bounded on A.
Hayashi, Mikihiro
core  

Vector valued logarithmic residues and the extraction of elementary factors

open access: yes
An analysis is presented of the circumstances under which, by the extraction of elementary factors, an analytic Banach algebra valued function can be transformed into one taking invertible values only. Elementary factors are generalizations of the simple
Bart, H., Silbermann, B., Ehrhardt, T.
core  

Uniqueness of a Meromorphic Function and its Differential Polynomial

open access: yes, 2014
In this paper, we investigate the problem of uniqueness of a non-constant meromorphic function f and its differential polynomial Q[f] when they share two distinct, non-zero, small meromorphic function IM*, where we have taken the conditions N(r, f) = S(r,
Raj Shree Dhar
core  

A New Class of Meromorphic Multivalent Functions Involving Certain Linear Operator

open access: yes, 2016
[[abstract]]Making use of certain extended derivative operator of Ruscheweyh type, we introduce a new class Jp(; ; ) of meromorphic multivalent function in the punctured disk D = fz : z 2 C; 0 < jzj < 1g, and obtain some sucient conditions for the ...
J. K. Prajapat, S. P. Goyal
core  

Two results on the value distribution of meromorphic functions

open access: yesOpen Mathematics
In this article, we prove two results on the value distribution of meromorphic functions. Using the theorem of Yamanoi, the first result gives a precise estimation of the relationship between the characteristic function of a meromorphic function and its ...
Yang Degui, He Zhiying, Liu Dan
doaj   +1 more source

Uniqueness of Meromorphic Functions of Differential Polynomials Sharing a Small Function with Finite Weight

open access: yes, 2019
Let f be a non-constant meromorphic function and a = a ( z ) {a=a(z)} ( 0 , ∞ {\not\equiv 0,\infty} ) a small function of f.Here, we obtain results similar to the results due to Indrajit Lahiri and Bipul Pal[Uniqueness of meromorphic functions with their
Waghamore Harina, P.   +3 more
core   +1 more source

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