Results 71 to 80 of about 824 (164)

Existence and convergence results of meromorphic solutions to the equilibrium system with angular velocity

open access: yesBoundary 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
doaj   +1 more source

Simplification of exponential factors of irregular connections on P1${\mathbb {P}}^1$

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We give an explicit algorithm to reduce the ramification order of any exponential factor of an irregular connection on P1$\mathbb {P}^1$, using the same types of basic operations as in the Katz–Deligne–Arinkin algorithm for rigid irregular connections.
Jean Douçot
wiley   +1 more source

Hyperderivatives of the deformation series associated with arithmetic gamma values and characteristic p$p$ multiple zeta values

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Number theory for positive characteristic contains analogues of the special values that were introduced by Carlitz; these include the Carlitz gamma values and Carlitz zeta values. These values were further developed to the arithmetic gamma values and multiple zeta values by Goss and Thakur, respectively.
Ryotaro Harada, Daichi Matsuzuki
wiley   +1 more source

Meromorphic Functions and Smooth Analytic Functions [PDF]

open access: yesProceedings 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

open access: yesPublications 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

Third-Order Differential Subordination for Generalized Struve Function Associated with Meromorphic Functions

open access: yesمجلة بغداد للعلوم
  Previously, many works dealt with the study of the order differential subordination and shortly after that other studies dealt with the  order differential subordination in the unit disc.
Suha J. Hammad   +2 more
doaj   +1 more source

Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α

open access: yesInternational 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
doaj   +1 more source

Meromorphic functions that share four or three small functions with their difference operators

open access: yesAdvances 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
doaj   +1 more source

On Exceptional Values of a Meromorphic Function [PDF]

open access: yesNagoya 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

Borel Directions and Uniqueness of Meromorphic Functions

open access: yesAbstract and Applied Analysis, 2013
We investigate the relationship between Borel directions and uniqueness of meromorphic functions and obtain some results of meromorphic functions sharing four distinct values IM and one set in an angular domain containing a Borel line.
Keyu Zhang, HongYan Xu, Hongxun Yi
doaj   +1 more source

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