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The aim is to explore variants of the Wallis product formula through the lens of simplicial polytopic numbers.

March 5, 2026Open Access

Wallis-type product formulas and associated Wallis integrals

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.

Variants of the Wallis product formula are established using simplicial polytopic numbers. These are then used to represent the Wallis integrals.

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Robert Joseph Andrew Bilinski (Fri,) studied this question.

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