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.