Further investigation of closed binomial series formula

Puntos clave

• The research aims to explore the behavior and properties of binomial series when modified by additive constants and non-integer values.
• Utilized mathematical analysis techniques to examine closed binomial series.
• Considered various cases of additive constants and non-integer inputs in the series.
• Identified new properties of binomial series influenced by additive constants.
• Demonstrated that non-integer values can yield interesting convergence behaviors in the series.