Results 11 to 20 of about 359 (45)
Differential subordination and convexity criteria of integral operators
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R.+2 more
doaj +1 more source
A first-order differential double subordination with applications [PDF]
Let $q_1$ and $q_2$ belong to a certain class of normalized analytic univalent functions in the open unit disk of the complex plane. Sufficient conditions are obtained for normalized analytic functions $p$ to satisfy the double subordination chain $q_1(z)
Ali+20 more
core +2 more sources
Spatial decay estimates for a class of nonlinear damped hyperbolic equations
This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two‐dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.
F. Tahamtani, K. Mosaleheh, K. Seddighi
wiley +1 more source
A generalized Schwarz lemma for two domains related to μ-synthesis
We present a set of necessary and sufficient conditions that provides a Schwarz lemma for the tetrablock E. As an application of this result, we obtain a Schwarz lemma for the symmetrized bidisc G2.
Pal Sourav, Roy Samriddho
doaj +1 more source
Complex variable approach to analysis of a fractional differential equation in the real line [PDF]
The first aim of this work is to establish a Peano type existence theorem for an initial value problem involving complex fractional derivative and the second is, as a consequence of this theorem, to give a partial answer to the local existence of the ...
Şan, Müfit
core +3 more sources
In this paper, we define a class of analytic functions, ℱ(ℋ, α, δ, µ), satisfying the following ...
Szatmari Eszter, Altinkaya Şahsene
doaj +1 more source
Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli [PDF]
Let -1\leq ...
Cho, Nak Eun+3 more
core +2 more sources
On a local version of Jack’s lemma
The purpose of this paper is to provide a result which concerns with the boundary behavior of analytic functions. It may be a local version of the well known Jack’s lemma when we change the function normalization at the origin.
Nunokawa Mamoru, Sokół Janusz
doaj +1 more source
We introduce canonical antisymmetric quasiconformal maps, which minimize the quasiconformality constant among maps sending the unit circle to a given quasicircle.
Smirnov, Stanislav
core +1 more source
The Relationships Between p−valent Functions and Univalent Functions
In this paper, we obtain some sufficient conditions for general p−valent integral operators to be the p−th power of a univalent functions in the open unit disk.
Çağlar Murat
doaj +1 more source