Results 71 to 80 of about 5,400,161 (122)
Definability of complex functions in o‐minimal structures
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley +1 more source
Uniqueness theorem on meromorphic functions and their difference operators
Advances 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
Karpatsʹkì 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 the expansion of a meromorphic function in partial fractions
, 2020 Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.The paper is devoted to partial fractions expansion for meromorphic function of one complex variable.
Маергойз, Л. С.
core
Meromorphic continuation of the Goldbach generating function
, 2011 We consider the Dirichlet series associated to the number of representations of an integer as a sum of primes. Assuming certain reasonable hypotheses on the distribution of the zeros of the Riemann zeta function we obtain the domain of meromorphic ...
Schlage-Puchta, Jan-Christoph +1 more
core +1 more source
On p-Valently Meromorphic-Strongly Starlike and Convex Functions
International 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
ON A CONJECTURE OF R. BRÜCK CONCERNING MEROMORPHIC FUNCTION SHARING SMALL FUNCTIONS
Revista 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
Notes on meromorphic functions sharing small function and its derivatives
, 2015 In this paper we study the uniqueness theorems of meromorphic functions which share a small function with its derivatives, and give some results which are related to the results of P ...
Amer H.H. Al-Khaladi
core +1 more source
Meromorphic continuation of functions and arbitrary distribution of interpolation points [PDF]
, 2013 We characterize the region of meromorphic continuation of an analytic function ff in terms of the geometric rate of convergence on a compact set of sequences of multi-point rational interpolants of ff.
De la Calle Ysern, B. [0000-0003-2842-2611] +4 more
core +1 more source
Values shared by meromorphic functions and their derivatives
Arab 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