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Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomialsстатья
- Авторы: Feng Qi, Čerňanová Viera, Semenov Yuri S.
- Журнал: UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS
- Том: 81
- Номер: 1
- Год издания: 2019
- Первая страница: 123
- Последняя страница: 136
- Аннотация: In the paper, the authors give a motivation from central Delannoy numbers to a tridiagonal determinant, find a generating function for the tridiagonal determinant, prove several formulas for the tridiagonal determinant, discuss the inverse of the tridiagonal matrix, connect the tridiagonal determinant with the Chebyshev polynomials, the Fibonacci numbers and polynomials, and the Cauchy product of central Delannoy numbers, derive several formulas for the tridiagonal determinant and the second kind Chebyshev polynomials, review computation of general tridiagonal determinants, present two new formulas for computing general tridiagonal determinants, and generalize central Delannoy numbers and their Cauchy product.
- Добавил в систему: Семенов Юрий Станиславович