Results 41 to 50 of about 714 (163)
Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function
MathematicsThe 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
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
Meromorphic Functions and Smooth Analytic Functions [PDF]
Proceedings 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
New estimates for meromorphic functions
Publications de l'Institut Mathematique, 2021 A boundary version of the Schwarz lemma for meromorphic functions is investigated. For the function Inf(z) = 1/z +?? k=2 knck?2zk?2, belonging to the class of W, we estimate from below the modulus of the angular derivative of the function on the boundary point of the unit disc.
openaire +2 more sources
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 Exceptional Values of a Meromorphic Function [PDF]
Nagoya Mathematical Journal, 1955 M. Brelot [1] has shown that if u(z) is subharmonic in an open set D in the z-plane with boundary C and is bounded from above in a neighborhood of a boundary point z0, which is contained in a set E ⊂ C of inner harmonic measure zero with respect to D, and such that z0 is a regular point for Dirichlet problem in D, then(1) .
openaire +3 more sources
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
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
On uniqueness polynomials for meromorphic functions [PDF]
Nagoya Mathematical Journal, 2003 AbstractA polynomialP(w)is called a uniqueness polynomial (or a uiqueness polynomial in a broad sense) ifP(f) = cP(g)(orP(f) = P(g))impliesf=gfor any nonzero constantcand nonconstant meromorphic functionsfandgonC. We consider a monic polynomialP(w)without multiple zero whose derivative has mutually distinctkzerosejwith multiplicitiesqj.Under the ...
openaire +3 more sources