Results 91 to 100 of about 4,247 (224)
On Factorization of Bicomplex Meromorphic Functions [PDF]
, 2020 . In this paper the factorization theory of meromorphic functions of one complex variable is promoted to bicomplex meromorphic functions. Many results of one complex variable case are seen to hold in bicomplex case, and it is found that there are results
D Rochon, K S Charak
core
Singular direction of meromorphic functions with finite logarithmic order
Open MathematicsIn this article, we construct filling disks for meromorphic functions of order zero and that way we prove the existence of Borel directions of these functions.
Hu Keqi, Zhang Qingcai
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Boundary Value Problems, 2019 We study the equilibrium system with angular velocity for the prey. This system is a generalization of the two-species equilibrium model with Neumann type boundary condition.
Bo Meng
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A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
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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.
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On Meromorphic Functions That Share Four Values [PDF]
, 1993 In this paper, two results on meromorphic functions sharing four values are obtained. We proved THEOREM 1. Let f and g be two distinct nonconstant meromorphic functions sharing four values.
Wang, S.P.
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Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α
International Journal of Mathematics and Mathematical Sciences, 2001 The object of the present paper is to derive a property of certain meromorphic functions in the punctured unit disk. Our main theorem contains certain sufficient conditions for starlikeness and close-to-convexity of order α of meromorphic functions.
Nak Eun Cho, Shigeyoshi Owa
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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) .
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On unicity of meromorphic functions due to a result of Yang - Hua [PDF]
, 2007 summary:This paper studies the unicity of meromorphic(resp. entire) functions of the form $f^nf^{\prime }$ and obtains the following main result: Let $f$ and $g$ be two non-constant meromorphic (resp.
Bai, Xiao-Tian, Han, Qi
core
Meromorphic functions that share four or three small functions with their difference operators
Advances in Difference Equations, 2019 In this paper, we prove that non-constant meromorphic functions of finite order and their difference operators are identical, if they share four small functions “IM”, or share two small functions and ∞ CM. Our results show that a conjecture posed by Chen–
Huifang Liu, Zhiqiang Mao
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