Asymmetric c-lenses are the special cases of asymmetric d-lenses (also called delta lenses) whose updates satisfy a universal property which in many applications ensures “least-change”. There has therefore been hope that symmetric c-lenses might characterize those symmetric dlenses which satisfy a similar universal property. This paper begins an analysis of symmetric c-lenses and their relation...

tributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Our aim in this paper is to discover special symmetric properties for twisted q-Genocchi polynomials. We are going to find a symmetric identity for twisted q-Genocchi zeta function. From property of the twis...

It is well known that the matrix exponential function has practical applications in engineering and applied sciences. In this paper, we present some new explicit identities to the exponential functions of a special class of matrices that are known as central-symmetric $X$-form. For instance, $e^{mathbf{A}t}$, $t^{mathbf{A}}$ and $a^{mathbf{A}t}$ will be evaluated by the new formulas in this par...

Stefano Bellucci, Sergio Ferrara, Murat Günaydin and Alessio Marrani ♣ INFN Laboratori Nazionali di Frascati, Via Enrico Fermi 40,00044 Frascati, Italy bellucci,[email protected] ♦ Physics Department,Theory Unit, CERN, CH 1211, Geneva 23, Switzerland [email protected] ♭ Department of Physics and Astronomy, University of California, Los Angeles, CA USA [email protected] ♠ Departmen...

We re-derive hydrodynamical equations in General Relativity (GR) in the comoving reference frame for spherical symmetry and obtain from them the well-known but not explicitly derived Lagrangean equations in Special Relativity (SR), that is, for the case of weak gravitational fields. Explicit formulae are presented which relate General Relativistic independent variables, Lagrangean mass coordina...

In the last years, the theory of numerical methods for system of non-stiff and stiff ordinary differential equations has reached a certain maturity. So, there are many excellent codes which are based on Runge–Kutta methods, linear multistep methods, Obreshkov methods, hybrid methods or general linear methods. Although these methods have good accuracy and desirable stability properties such as A...

In this paper two families of rational solutions and associated special polynomials for the equations in the symmetric fourth Painlevé hierarchy are studied. The structure of the roots of these polynomials is shown to be highly regular in the complex plane. Further representations are given of the associated special polynomials in terms of Schur functions. The properties of these polynomials ar...

We have studied some geometric properties of conharmonically flat Sasakian manifold and an Einstein-Sasakian manifold satisfying R(X, Y ).N = 0. We have also obtained some results on special weakly Ricci symmetric Sasakian manifold and have shown that it is an Einstein manifold. AMS Mathematics Subject Classification (2000): 53C21, 53C25

The energy-Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Formal stability criteria for symmetric disturbances to a zonally symmetric baroclinic flow are obtained. In the special case of a perfect gas the results of Stevens (1983) are recovered. Finite-amplitude stability condit...