Mathematics, Год журнала: 2025, Номер 13(5), С. 715 - 715

Опубликована: Фев. 22, 2025

This paper investigates a class of Jacobsthal-type polynomials (JTPs) that involves one parameter. We present several new formulas for these polynomials, including expressions their derivatives, moments, and linearization formulas. The key idea behind the derivation is based on developing connection formula expresses shifted Chebyshev third kind in terms JTPs. used to deduce inversion Therefore, by utilizing power form representation corresponding formula, we can derive additional them. Additionally, compute some definite integrals polynomials.

Язык: Английский