New Results for Certain Jacobsthal-Type Polynomials DOI Creative Commons
W. M. Abd‐Elhameed, Omar Mazen Alqubori,

Amr Kamel Amin

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(5), P. 715 - 715

Published: Feb. 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.

Language: Английский

New Results for Certain Jacobsthal-Type Polynomials DOI Creative Commons
W. M. Abd‐Elhameed, Omar Mazen Alqubori,

Amr Kamel Amin

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(5), P. 715 - 715

Published: Feb. 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.

Language: Английский

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