Results 41 to 50 of about 2,699,992 (220)
The Mathematical History Behind the Granger–Johansen Representation Theorem
ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
Hadamard Product on Subclasses of Meromorphic Functions Involving q-Difference Operator
By making use of a q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied. In this paper, we define a q-analogous value of differential operators for meromorphic functions
W. Y. Kota +2 more
doaj +1 more source
On Meromorphic Harmonic Functions Associated with the Polylogarithm Function
This paper examines the relationship between the classical polylogarithm function and meromorphic harmonic univalent mappings. Using a convolution operator derived from the polylogarithm function, we define a class of harmonic meromorphic functions and ...
Huda Ali Aldweby
doaj +1 more source
Some New Results on Fixed Points of Meromorphic Functions Defined in Annuli
The purpose of this paper is to investigate the fixed points of meromorphic functions in annuli. Some well-known facts of fixed points for meromorphic functions in the plane will be considered in annuli.
Zhaojun Wu, Zuxing Xuan, Yuxian Chen
doaj +1 more source
By making use of a higher-order q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied.
Likai Liu, Rekha Srivastava, Jin-Lin Liu
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Meromorphic functions with positive coefficients [PDF]
Let ∑∗(α, β, k) be a class of meromorphic functions f(z) with positive coefficients in D = {0 < |z| < 1}. The aim of the present note is to prove some properties for the class ∑∗(α, β, k).
openaire +3 more sources
Quasiconformal folding—a review of ‘Models for the Eremenko–Lyubich class'
Abstract We review the paper ‘Models for the Eremenko–Lyubich class’ by Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers for which Bishop received the LMS Senior Berwick Prize in 2024. This is one of a series of papers where Bishop introduced his new technique of quasiconformal folding, which
Philip J. Rippon
wiley +1 more source
On the uniqueness of meromorphic functions that share three sets [PDF]
summary:With the aid of the notion of weighted sharing and pseudo sharing of sets we prove three uniqueness results on meromorphic functions sharing three sets, all of which will improve a result of Lin-Yi in Complex Var. Theory Appl. (2003)
Mandal, Rajib +3 more
core +1 more source
On the Uniqueness of Meromorphic Functions on Annuli in terms of Deficiencies
The purpose of this article is to study the uniqueness of meromorphic functions on annuli. Under a certain condition about deficiencies, we prove some new uniqueness theorems of meromorphic functions on the annulus A=z:1 ...
Dawei Meng, Nan Lu, Sanyang Liu
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Fuzzy Differential Subordination for Meromorphic Function Associated with the Hadamard Product
This paper is related to fuzzy differential subordinations for meromorphic functions. Fuzzy differential subordination results are obtained using a new operator which is the combination Hadamard product and integral operator for meromorphic function.
Sheza M. El-Deeb, Alina Alb Lupaş
doaj +1 more source

