Simplification of a Specific Infinite Series Using π and Bessel Functions

Key Points

• The aim is to simplify a specific infinite series by utilizing the properties of pi and Bessel functions.
• Analyzed the structure of the infinite series
• Applied mathematical techniques for simplification
• Used properties of Bessel functions in the analysis
• Successfully simplified the infinite series
• Demonstrated the role of pi in the simplification
• Found efficient expressions for the series involving Bessel functions

Abstract