지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this article we consider the class $\mathcal{A}(p)$ which consists of functions that are meromorphic in the unit disc $\ID$ having a simple pole at $z=p\in (0,1)$ with the normalization $f(0)=0=f'(0)-1 $. First we prove some sufficient conditions for univalence of such functions in $\ID$. One of these conditions enable us to consider the class $\mathcal{V}_{p}(\lambda)$ that consists of functions satisfying certain differential inequality which forces univalence of such functions. Next we establish that $\mathcal{U}_{p}(\lambda)\subsetneq \mathcal{V}_{p}(\lambda)$, where $\mathcal{U}_{p}(\lambda)$ was introduced and studied in \cite{BF-1}. Finally, we discuss some coefficient problems for $\mathcal{V}_{p}(\lambda)$ and end the article with a coefficient conjecture.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
L. A. Aksentev / 1958 / Sufficient conditions for univalence of regular functions / Izv. Vyss. Ucebn. Zaved. Matematika 4(3):3~7
B. Bhowmik / 2017 / On a subclass of meromorphic univalent functions / Complex Var. Elliptic Equ. 62(4):494~510
B. Bhowmik / 2017 / Criteria for univalence, integral means and dirichlet integral for meromorphic functions / Bull. Belg. Math. Soc. Simon Stevin 24:427~438
B. Bhowmik / 2009 / Concave functions, Blaschke products and polygonal mappings / Sib. Math. J. 50(4):609~615
S. S. Miller / 1999 / Differential Subordinations, Theory and Applications / Marcel Dekker Inc
B. Bhowmik / 2017 / On a subclass of meromorphic univalent functions / Complex Var. Elliptic Equ. 62(4):494~510
B. Bhowmik / 2017 / Criteria for univalence, integral means and dirichlet integral for meromorphic functions / Bull. Belg. Math. Soc. Simon Stevin 24:427~438
B. Bhowmik / 2009 / Concave functions, Blaschke products and polygonal mappings / Sib. Math. J. 50(4):609~615
S. S. Miller / 1999 / Differential Subordinations, Theory and Applications / Marcel Dekker Inc
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Coefficient estimates for certain subclass of meromorphic and bi-univalent functions
대한수학회논문집
2017 .01
-
Faber polynomial coefficient estimates for certain subclass of meromorphic bi-univalent functions
대한수학회논문집
2018 .01
-
UNIQUENESS AND VALUE SHARING PROBLEMS IN CLASS 𝓐 OF MEROMORPHIC FUNCTIONS
Journal of applied mathematics & informatics
2017 .01
-
Coefficient estimates for a new general subclass of analytic bi-univalent functions
한국수학논문집
2021 .09
-
A result on a conjecture of W. L\"{u}, Q. Li and C. Yang
대한수학회보
2016 .01
-
Faber polynomial coefficient estimates for analytic bi-univalent functions associated with Gregory coefficients
한국수학논문집
2024 .06
-
Certain Geometric Properties of an Integral Operator Involving Bessel Functions
Kyungpook Mathematical Journal
2018 .01
-
On covering and quotient maps for $\mathcal{I}^{\mathcal{K}}$-convergence in topological spaces
대한수학회논문집
2023 .01
-
Coefficient estimates for a subclass of analytic bi-univalent functions
대한수학회보
2018 .01
-
A Further Result Related to a Conjecture of R. Bruck
Kyungpook Mathematical Journal
2016 .01
-
Meromorphic functions partially shared values with their shifts
대한수학회보
2018 .01
-
UNIQUENESS FOR THE POWER OF A MEROMORPHIC FUNCTION
Journal of applied mathematics & informatics
2017 .01
-
Value Distribution of the Product of a Meromorphic Derivative and a Power of the Function
Kyungpook Mathematical Journal
2015 .01
-
Generalized $(\Lambda,b)$-closed sets in topological spaces
한국수학논문집
2017 .01
-
Toeplitz determinants for $\lambda$-pseudo-starlike functions
대한수학회논문집
2024 .07
-
INCLUSION PROPERTIES REGARDING CLASSES OF MEROMORPHIC P-VALENT FUNCTIONS, INVOLVING THE OPERATOR Jnp,λ
대한수학회논문집
2017 .01
-
On partial value sharing results of meromorphic functions with their shifts and its applications
대한수학회보
2020 .01
-
Semibricks over split-by-nilpotent extensions
대한수학회보
2021 .01
-
A CERTAIN SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS ASSOCIATED WITH AN INTEGRAL OPERATOR
호남수학학술지
2017 .01
-
Multipliers of Dirichlet-type subspaces of Bloch space
대한수학회보
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0