New estimates for meromorphic functions
نویسندگان
چکیده
A boundary version of the Schwarz lemma for meromorphic functions is investigated. For function Inf(z) = 1/z +?? k=2 knck?2zk?2, belonging to class W, we estimate from below modulus angular derivative on point unit disc.
منابع مشابه
Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions
We introduce and investigate two new subclasses ℳ σ (α, λ) and ℳ σ (β, λ) of meromorphic bi-univalent functions defined on Δ = {z : z ∈ ℂ, 1 < |z | <∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
متن کاملFaber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent. Consider ...
متن کاملCoefficient estimates for a class of meromorphic bi-univalent functions
Article history: Received 23 April 2013 Accepted after revision 21 May 2013 Available online 30 May 2013 Presented by the Editorial Board Applying the Faber polynomial coefficient expansions to a class of meromorphic biunivalent functions, we obtain the general coefficient estimates for such functions and also examine their early coefficient bounds. A function univalent in the open unit disk is...
متن کاملCoefficient Estimates of Meromorphic Bi- Starlike Functions of Complex Order
In the present investigation, we define a new subclass of meromorphic bi-univalent functions class Σ′ of complex order γ ∈ C\{0}, and obtain the estimates for the coefficients |b0| and |b1|. Further we pointed out several new or known consequences of our result.
متن کاملNEW SUBCLASSES OF MEROMORPHIC p−VALENT FUNCTIONS
In this paper, we introduce two subclasses Ωp(α) and Λ ∗ p(α) of meromorphic pvalent functions in the punctured diskD = {z : 0 < |z| < 1}. Coefficient inequalities, distortion theorems, the radii of starlikeness and convexity, closure theorems and Hadamard product ( or convolution) of functions belonging to these classes are obtained.
متن کاملذخیره 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: Publications De L'institut Mathematique
سال: 2021
ISSN: ['0350-1302', '1820-7405']
DOI: https://doi.org/10.2298/pim2123153o