Abstract Stationary and ergodic time series can be constructed using an s-vine decomposition based on sets of bivariate copula functions. The extension such processes to infinite sequences is considered shown yield a rich class models that generalizes Gaussian ARMA ARFIMA allow both non-Gaussian marginal behaviour description the serial partial dependence structure. Extensions classical causal ...

We establish two recurrence relations for some Clausen’s hypergeometric functions with unit argument. solve them to give the explicit formulas. Additionally, we use moments of Ramanujan’s generalized elliptic integrals obtain these relations.

The problem of a thin spherical linearly-elastic shell, perfectly bonded to an infinite linearly-elastic medium is considered. A constant axisymmetric stress field is applied at infinity in the matrix, and the displacement and stress fields in the shell and matrix are evaluated by means of harmonic potential functions. In order to examine the stability of this solution, the buckling problem of ...