The Eigenvalue Behavior of Certain Convolution Equations

A certain convolution approach for subclasses of univalent harmonic functions

In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.  

Asymptotic Behavior of the Eigenvalues of Certain Integral Equations. 11

is non-negative, sufficiently regular, and does not tend to zero at in#nity faster than an inverse power of ~, then An' the nth largest eigenvalue of (1), is asymptotic to K(n n/2) as n-+ 00. (Note that although in (1) k (x) need only be defined for Ixl <2, it seems in the definition of K that k(x) is defined for all x. We shall explain this in a moment.) Here we shall see what happens when the...

Applications of convolution and‎ ‎subordination to certain $p$-valent functions

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.

Subordination and Super Ordination Results Involving Certain Convolution Operators

A note on certain convolution operators

In this note we consider a certain class of convolution operators acting on the Lp spaces of the one dimensional torus. We prove that the identity minus such an operator is nicely invertible on the subspace of functions with mean zero. 2010 Mathematics Subject Classification. Primary 47G10; Secondary 47B34, 26D10.