Results 31 to 40 of about 824 (164)

Geometric Properties of New Subclasses of Meromorphic Harmonic Functions Associated With Janowski Functions Defined by q-Calculus

Journal of Function Spaces
This paper establishes new applications of q-calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q-difference operator.
Ahmad A. Abubaker
doaj   +1 more source

The Mathematical History Behind the Granger–Johansen Representation Theorem

Oxford Bulletin of Economics and Statistics, EarlyView.
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

Uniqueness of meromorphic functions concerning small functions and derivatives-differences

Demonstratio Mathematica
In this article, we study the unicity of meromorphic functions concerning small functions and derivatives-differences. The results obtained in this article extend and improve some results of Chen et al.
He Zhiying, Fang Mingliang, Xiao Jianbin
doaj   +1 more source

Roots of polynomial sequences in root‐sparse regions

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Given a family (qk)k$(q_k)_k$ of polynomials, we call an open set U$U$root‐sparse if the number of zeros of qk$q_k$ is locally uniformly bounded on U$U$. We study the interplay between the individual zeros of the polynomials qk$q_k$ and those of the m$m$th derivatives qk(m)$q_k^{(m)}$ in a root‐sparse open set U$U$, as k→∞$k\rightarrow \infty$.
Christian Henriksen, Carsten Lunde Petersen, Eva Uhre   +2 more
wiley   +1 more source

A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q-Difference Operator

Mathematics
This paper presents a novel symmetric q-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk.
Vasile-Aurel Caus
doaj   +1 more source

Meromorphic Functions Sharing a Small Function [PDF]

Abstract and Applied Analysis, 2007
We will study meromorphic functions that share a small function, and prove the following result: letf(z)andg(z)be two transcendental meromorphic functions in the complex plane and letn≥11be a positive integer. Assume thata(z)(≢0)is a common small function with respect tof(z)andg(z). Iffnf′andgng′sharea(z)CM, then eitherfn(z)f′(z)gn(z)g′(z)≡a2(z), orf(z)
Wang, Songmin, Gao, Zongsheng
openaire   +4 more sources

The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley   +1 more source

Hadamard Product on Subclasses of Meromorphic Functions Involving q-Difference Operator

Journal of Function Spaces
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, R. M. El-Ashwah, Nicoleta Breaz   +2 more
doaj   +1 more source

Reducibility points and characteristic p local fields I: simple supercuspidal representations of symplectic groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Let F$F$ be a non‐Archimedean local field with odd characteristic p$p$. Let N$N$ be a positive integer and G=Sp2N(F)$G=\operatorname{Sp}_{2N}(F)$. By work of Lomelí on γ$\gamma$‐factors of pairs and converse theorems, a generic supercuspidal representation π$\pi$ of G$G$ has a transfer to a smooth irreducible representation Ππ$\Pi _\pi$ of ...
Corinne Blondel, Guy Henniart, Shaun Stevens   +2 more
wiley   +1 more source

Normal Families and Growth of Meromorphic Functions with Their Kth Derivatives

Journal of Function Spaces, 2018
Relying on the normal family theory, we mainly study uniqueness problems of meromorphic functions and their kth derivatives and estimate sharply the growth order of their meromorphic functions. Our theorems improve some previous results.
Jianming Qi, Fanning Meng, Wenjun Yuan
doaj   +1 more source