Wallis-type product formulas and associated Wallis integrals

Puntos clave

• The aim is to explore variants of the Wallis product formula through the lens of simplicial polytopic numbers.
• Developed new variants of the Wallis product formula.
• Applied simplicial polytopic numbers in mathematical analysis.
• Represented Wallis integrals using the established formulas.
• Established novel forms of the Wallis product formula.
• Derived mathematical representations of Wallis integrals using polytopic numbers.