In the present paper, we obtain sandwich results involving Hadamard product for certain normalized analytic functions associated with Dziok-Srivastava operator in the open unit disk. Our results extend corresponding previously known results. 2000 Mathematics Subject Classification: Primary 30C45; Secondary 30C80.

We survey geometric properties which imply the stochastic incompleteness of the minimal diffusion process associated to the Laplacian on manifolds and graphs. In particular, we completely characterize stochastic incompleteness for spherically symmetric graphs and show that, in contrast to the case of Riemannian manifolds, there exist examples of stochastically incomplete graphs of polynomial vo...

We define a subgraph of the zero divisor graph of a ring, associated to the ring idempotents. We study its properties and prove that for large classes of rings the connectedness of the graph is equivalent to the indecomposability of the ring and in those cases we also calculate the graph’s diameter. 2000 Mathematics subject classification: 16U99, 05C99.

Spencer Bloch and the author formulated a general conjecture (Tamagawa number conjecture) on the relation between values of zeta functions of motives and arithmetic groups associated to motives. We discuss this conjecture, and describe some application of the philosophy of the conjecture to the study of elliptic curves. 2000 Mathematics Subject Classification: 11G40.

The aim of this paper is to give two uniqueness results for the Dirichlet problem associated to the constant mean curvature equation. We study constant mean curvature graphs over strips of R. The proofs are based on height estimates and the study of the asymptotic behaviour of solutions to the Dirichlet problem. 2000 Mathematics Subject Classification. 53A10.

This paper presents criteria for the existence and uniqueness of solutions to five-point boundary value problems associated with third order differential equations by using matching technique. ’Liapunov-like’ functions are used as a tool to establish existence and uniqueness of solutions by matching two three-point boundary value problems. AMS Mathematics Subject Classification (2000): 34B10, 3...

As an example of relative p-adic Hodge theory, we sketch the construction of the universal admissible filtration of an isocrystal (φ-module) over the completion of the maximal unramified extension of Qp, together with the associated universal crystalline local system. Mathematics Subject Classification (2000). Primary 14G22; Secondary 11G25.

We establish that, as is the case with space-like isothermic surfaces, time-like isothermic surfaces in pseudo-riemannian space R n−j,j are associated to the O(n− j + 1, j + 1)/O(n− j, j)×O(1, 1)system. 2000 Mathematics Subject Classification: Primary 53A35; Secondary53C40.

We prove optimal radially weighted L2-norm inequalities for the Fourier extension operator associated to the unit sphere in Rn . Such inequalities valid at all scales are well understood. The purpose of this short paper is to establish certain more delicate single-scale versions of these. 2000 Mathematics subject classification: 42B10.

The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems. In this paper, a discrete version of the analytic Kramer sampling theorem is proved. Orthogonal polynomials arising from indeterminate Hamburger moment problem...