- Tytuł:
- Matrix methods in evaluation of integrals
- Autorzy:
-
Wituła, Roman
Słota, Damian
Matlak, Jarosław
Różański, Michał - Powiązania:
- https://bibliotekanauki.pl/articles/1839805.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
matrix methods
evaluation of integrals
central binomial coefficients
identities for finite sums
metoda macierzowa
współczynnik dwumianowy
metoda oceny całek - Opis:
- The method of evaluating the integrals through use of the matrix inversion, presented here, was introduced by J.W. Rogers and then generalized by Matlak, Słota and Wituła. This method is still developed and one of its other possible applications is presented in this paper. This application concerns a new way of evaluating the integral ʃ sec2n+1 xdx on the basis of the discussed method. Additionally, many other applications of the obtained original recursive formula for this type of integral are given here. Some of them are used to generate the interesting identities for inverses of the central binomial coefficients and the trigonometric limits. The historical view is also presented as well as the connections between the received and previously known identities.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 103-112
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł