We have developed a three-dimensional (3D) spectral hydrodynamic code to study vortex dynamics in rotating, shearing, stratified systems (e.g., the atmosphere of gas giant planets, protoplanetary disks around newly forming protostars). The timeindependent background state is stably stratified in the vertical direction and has a unidirectional linear shear flow aligned with one horizontal axis. ...

Orthogonal polynomials on the semicircle were introduced by Gautschi and Milovanović in [Rend. Sem. Mat. Univ. Politec. Torino, Special Issue (July 1985), pp. 179-185] [J. Approx. Theory, 46 (1986), 230-250]. In this paper we give an account of kind orthogonality, weighted generalizations mainly oriented to Chebyshev weights first second kinds, including several interesting properties such pol...

We give a Schinzel-Zassenhaus-type lower bound for the maximum modulus of roots monic integer polynomial with all symmetric respect to unit circle. Our results extend recent work Dimitrov, who proved general Schinzel-Zassenhaus conjecture by using Pólya rationality theorem power series coefficients, and some estimates logarithmic capacity (transfinite diameter) sets. use an enhancement Pólya's ...

‎it is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎for‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎this paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎the fractional derivatives are described...