Results 81 to 90 of about 39,333 (245)
Canonical forms of oriented matroids
Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
wiley +1 more source
Module structure of Weyl algebras
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley +1 more source
Meromorphic continuation of Multivariable Euler product and application
This article extends classical one variable results about Euler products defined by integral valued polynomial or analytic functions to several variables.
Bhowmik, Gautami +2 more
core +1 more source
Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α
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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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
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Meromorphic functions that share four or three small functions with their difference operators
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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Borel Directions and Uniqueness of Meromorphic Functions
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
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Algebraic values of meromorphic functions—II
AbstractWe continue the study of the possible distributions of numbers at which certain meromorphic functions take on algebraic values. In particular, a 1-parameter subgroup of a linear group or an abelian variety which contains sufficiently many algebraic points must itself be an algebraic subgroup.
openaire +2 more sources
Formal meromorphic functions on manifolds of finite type [PDF]
Robert Juhlin +2 more
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Quasinormal Families of Meromorphic Functions
Let \mathcal{F} be a family of functions meromorphic on the plane domain D , all of whose zeros are multiple. Suppose that f'(z)\ne 1 for all f\in ...
Pang, Xuecheng +2 more
openaire +3 more sources

