Results 41 to 50 of about 39,333 (245)

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

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
wiley   +1 more source

Applications of Higher-Order q-Derivative to Meromorphic q-Starlike Function Related to Janowski Function

Axioms, 2022
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
doaj   +1 more source

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
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

Study about inclusion relationships and integral preserving properties [PDF]

Surveys in Mathematics and its Applications, 2012
The object of the present paper is to investigate a family of integral operators defined on the space of meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex ...
Imran Faisal, Maslina Darus
doaj  

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

On the growth of logarithmic difference of meromorphic functions and a Wiman-Valiron estimate

, 2016
The paper gives a precise asymptotic relation between higher order logarithmic difference and logarithmic derivatives for meromorphic functions with order strictly less then one.
Chiang, Yik-Man, Feng, Shao-Ji
core   +2 more sources

A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source

Some New Results on Fixed Points of Meromorphic Functions Defined in Annuli

Journal of Function Spaces, 2015
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