Results 91 to 100 of about 10,487,514 (263)

Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

open access: yesMathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali   +3 more
doaj   +1 more source

Uniqueness theorem on meromorphic functions and their difference operators

open access: yesAdvances in Difference Equations, 2018
In this paper, we study the uniqueness problems of meromorphic functions and their difference operators. Our main result is a difference analogue of a result of Jank–Mues–Volkmann, which is concerned with the uniqueness of an entire function sharing one ...
Dan Liu, Bingmao Deng, Mingliang Fang
doaj   +1 more source

Meromorphic Functions and Smooth Analytic Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
Meromorphic functions with many zeroes can have logarithmic derivatives that are relatively smooth. We prove this, with a new construction of smooth analytic functions with many zeroes. Our examples belong to the theory of differential fields of functions.
openaire   +1 more source

Advancement on the study of growth analysis of differential polynomial and differential monomial in the light of slowly increasing functions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Study of the growth analysis of entire or meromorphic functions has generally been done through their Nevanlinna's characteristic function in comparison with those of exponential function.
T. Biswas
doaj   +1 more source

ON A CONJECTURE OF R. BRÜCK CONCERNING MEROMORPHIC FUNCTION SHARING SMALL FUNCTIONS

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2017
In this paper, we investigate the uniqueness problem on a conjecture of R. Brück concerning meromorphic function sharing the set of small functions with its derivative, and obtain some results which improve the theorems given by Zhang and Yang.
Hong Yan Xu, Cai Feng Yi, Hua Wang
doaj   +1 more source

On p-Valently Meromorphic-Strongly Starlike and Convex Functions

open access: yesInternational Journal of Analysis and Applications, 2016
In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
doaj   +2 more sources

Values shared by meromorphic functions and their derivatives

open access: yesArab Journal of Mathematical Sciences, 2016
In this paper we deal with the problem of uniqueness of meromorphic functions as well as their power which share a small function with their derivatives and obtain some results which improve and generalize the recent results due to Zhang and Yang (2009 ...
Sujoy Majumder
doaj   +1 more source

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