Abstract Analytical study of ball vibration absorber behavior is presented in the paper. The dynamics trajectories a heavy moving without slipping inside spherical cavity are analyzed. Following our previous work, where similar system was investigated through various numerical simulations, research dynamic properties sphere carried out by methods analytical dynamics. strategy investigation enab...

Abstract In this paper, the solution to a bivariate Appell interpolation problem proposed in previous work is given. Bounds of truncation error are considered. Ten new interpolants for real, regular, functions constructed. Numerical examples and comparisons with Bernstein polynomials

Abstract: Exact and explicit expressions for the variogram of first–order intrinsic autoregressions have not been known. Various asymptotic expansions and approximations have been used to compute the variogram. In this note, an exact and explicit expression applicable for all parameter values is derived. The expression involves Appell’s hypergeometric function of the fourth kind. Various partic...

In hypercomplex context, we have recently constructed Appell sequences with respect to a generalized Laguerre derivative operator. This construction is based on the use of a basic set of monogenic polynomials which is particularly easy to handle and can play an important role in applications. Here we consider Laguerre-type exponentials of order m and introduce Laguerre-type circular and hyperbo...