Riesz Dunford integral and operators on Hilbert space based on univalent functions with fixed residue

Nobakht, Lida; Najafzadeh, Shahram; Foroutan, Mohammadreza

doi:10.22103/jmmr.2026.25383.1812

Riesz Dunford integral and operators on Hilbert space based on univalent functions with fixed residue

Document Type : Research Paper

Authors

Lida Nobakht

Shahram Najafzadeh

Mohammadreza Foroutan

Department of Mathematics, Payame Noor University, Tehran, Iran

10.22103/jmmr.2026.25383.1812

Abstract

In the present paper, we introduce and investigate a new class of meromorphic functions analytic in the open unit disk and applying a $q-$derivative and $q-$differential integral operator associated with quantum calculus. Furthermore, by using the familiar Riesz-Dunford integral of a linear operator on Hilbert space H, a new class of univalent functions with a fixed point is introduced. Coefficient estimate, distortion bound and extreme points are obtained.

Keywords

Hilbert space

Univalent function

q-derivative

Coefficient estimate

Distortion bound and extreme points

Subjects

Analysis

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