Results 41 to 50 of about 15,112,532 (216)
A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q-Difference Operator
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
Making use of the operator L q , ν associated with functions of the form f ( z ) = 1 z + ∑ k = 1 ∞ a k z k − 1 , which are analytic in the punctured unit disc U * : = U ∖ { 0 } , we introduce two subclasses of meromorphic functions and investigate ...
Adela O. Mostafa +3 more
semanticscholar +1 more source
Geometric spectral properties of electromagnetic waveguides
Abstract We consider a homogeneous, isotropic electromagnetic waveguide with simply connected cross‐section embedded in a perfect conductor. We investigate the influence of geometric deformations, namely bending and twisting, on the real spectrum of the associated self‐adjoint Maxwell operator. We first establish sufficient conditions on the asymptotic
Philippe Briet +3 more
wiley +1 more source
Study about inclusion relationships and integral preserving properties [PDF]
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
Mixed motives and linear forms in the Catalan constant
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source
Meromorphic solutions of higher order BriotBouquet differential equations [PDF]
For differential equations P(y(k), y)=0, where P is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.
Ng, TW, Eremenko, AE, Liao, L
core +1 more source
Normal Families and Growth of Meromorphic Functions with Their Kth Derivatives
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
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The main aim of this work is to find some coefficient inequalities and sufficient condition for some subclasses of meromorphic starlike functions by using q-difference operator.
Q. Ahmad +4 more
semanticscholar +1 more source
Abelian number fields with frobenian conditions
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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

