Derivation of the Closed-Form Expression for the Infinite Product Constant of Operator Sequences Using the Gamma Function and Reflection Formula | Synapse
May 19, 2026Open Access
Derivation of the Closed-Form Expression for the Infinite Product Constant of Operator Sequences Using the Gamma Function and Reflection Formula
Key Points
The aim is to derive a closed-form expression for an infinite product constant related to operator sequences.
Utilized the gamma function and its properties in the derivation.
Employed the reflection formula to enhance the derivation process.
Successfully derived a closed-form expression for the infinite product constant.
Demonstrated the relationship between the expression and operator sequences using the gamma function.
Abstract
Derivation of the Closed-Form Expression for the Infinite Product Constant of Operator Sequences Using the Gamma Function and Reflection Formula.