On a certain bounded integral

The Serre Problem on Certain Bounded Domains

We give some new examples for which the Serre problem is solvable by using invariant pseudodistances.

On Certain Integral Tensor Categories and Integral Tqfts

We construct certain tensor categories that are dominated by finitely many simple objects. Objects in these categories are modules over rings of algebra integers. We show how to obtain TQFTs defined over algebra integers from these categories.

On the Convexity of Certain Integral Operators

In this paper we consider the classes of starlike functions of order α, convex functions of order α and we study the convexity and α-order convexity for some general integral operators. Several corollaries of the main results are also considered.

On A Certain Modified Mixed Summation-Integral Type Operator

Univalence of Certain Integral Operators

We study some integral operators and determine conditions for the univalence of these integral operators.