A sharp condition for the Loewner equation to generate slits.
A sharp form of Nevanlinna's second fundamental theorem.
A sharp form of Nevanlinna's second main theorem of several complex variables.
A sharp result concerning cercles de remplissage.
A short proof of non-Gromov hyperbolicity of Teichmüller spaces.
A simple proof of Cauchy theorem
A simple proof of the Fundamental Theorem of Algebra
In the paper an elementary and simple proof of the Fundamental Theorem of Algebra is given.
A simply connected, homogeneous domain that is not a quasidisk.
A Sinc Quadrature Rule for Hadamard Finite-part Integrals.
A singular controllability problem with vanishing viscosity
The aim of this paper is to answer the question: Do the controls of a vanishing viscosity approximation of the one dimensional linear wave equation converge to a control of the conservative limit equation? The characteristic of our viscous term is that it contains the fractional power α of the Dirichlet Laplace operator. Through the parameter α we may increase or decrease the strength of the high frequencies damping which allows us to cover a large class of dissipative mechanisms. The viscous term,...
A Strict Maximum Modulus Theorem for Certain Banach Spaces.
A strongly annular function with countably many singular values.
A study of various results for a class of entire Dirichlet series with complex frequencies
Let be a class of entire functions represented by Dirichlet series with complex frequencies for which is bounded. Then is proved to be a commutative Banach algebra with identity and it fails to become a division algebra. is also proved to be a total set. Conditions for the existence of inverse, topological zero divisor and continuous linear functional for any element belonging to have also been established.
A study on starlike and convex properties for hypergeometric functions.
A study on the generalization of Janowski functions in the unit disc.
A subclass of analytic functions defined by differential Sălăgean operator.
A subclass of analytic functions defined by Ruscheweyh derivative.
A Subclass Of Close-To-Convex Functions
A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator
Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.
A subclass of --starlike functions.