A weighted version of Saitoh's conjecture

TL;DR

This paper proves a weighted version of Saitoh's conjecture and extends it to higher derivatives, providing new insights into the conjecture's applicability under weighting schemes.

Contribution

It introduces a weighted generalization of Saitoh's conjecture and applies it to higher derivatives, expanding the conjecture's scope.

Findings

Proved a weighted version of Saitoh's conjecture.

Extended the conjecture to higher derivatives.

Established new theoretical results in complex analysis.

Abstract

In this article, we prove a weighted version of Saitoh's conjecture. As an application, we prove a weighted version of Saitoh's conjecture for higher derivatives.