Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: funkcja hiperboliczna

Sortuj według:

Ogranicz wyniki do:

Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind

Chen Xue-Yan, Wu Lan, Lim Dongkyu, Qi Feng

Demonstratio Mathematica

2022

Vol. 55, nr 1

822--830

In this article, the authors present two identities involving products of the Bernoulli numbers, provide four alternative proofs for these two identities, derive two closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind, and supply simple proofs of series expansions of (hyperbolic) cosecant and cotangent functions.

On different kinds of solutions to simplified modified form of a Camassa-Holm equation

Gündoğdu Hami, Gözükızıl Ömer Faruk

Journal of Applied Mathematics and Computational Mechanics

2019

Vol. 18, nr 2

31--40

In this research, our purpose is to investigate some types of solutions to a simplified modified form of the Camassa-Holm equation. The Jacobi elliptic function expansion method is applied to this equation. Then, a lot of travelling wave solutions are obtained. The derived solutions are in the form of Jacobi elliptic functions, hyperbolic functions, and trigonometric functions. Graphics of solutions are drawn in order to determine the types of the solutions. Furthermore, different kinds of solutions such as the singular kink wave solution, the kink wave solution, and the periodic solution are achieved.