the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...

In the present paper, the expressions for scalar and vector potentials in lossless isotropic chiral media are analyzed. Propagating eigenvalues of these potentials are then obtained. Furthermore by decomposition of sources and fields in a chiral medium, we introduce the auxiliary right-and left-handed potentials and find the associated fields. These potentials are used to solve the problem of a...

We discuss the double scaling limit of SYK model with global symmetries. develop chord diagram techniques to compute moments Hamiltonian and two point function in presence arbitrary chemical potential. also derive a transfer matrix acting on an auxiliary Hilbert space which can capture contributions. present explicit results for case classical group symmetries namely orthogonal, unitary symplec...

The solvability conditions for a class of boundary value problems nonlocal biharmonic equation in the unit ball with Neumann on are studied. nonlocality is generated by some orthogonal matrix. presence and uniqueness solution to proposed condition examined, an integral representation Dirichlet problem terms Green's function obtained. First, auxiliary statements established: given, this written,...