Generalized Binomial Expansion on Complex Matrix Space

A Domain Decomposition Method Based on a Generalized Scattering Matrix Formalism and a Complex Source Expansion

A general domain decomposition scheme based on the use of complex sources is presented for the electromagnetic analysis of complex antenna and/or scattering problems. The analysis domain is decomposed into separate subdomains whose interactions are described through a network formalism, where the ports are associated with complex point source (CPS) beams radially emerging from the subdomain bou...

On Hypergeometric Generalized Negative Binomial Distribution

ON CONEIGENVALUES OF A COMPLEX SQUARE MATRIX

In this paper, we show that a matrix A in Mn(C) that has n coneigenvectors, where coneigenvaluesassociated with them are distinct, is condiagonalizable. And also show that if allconeigenvalues of conjugate-normal matrix A be real, then it is symmetric.  

determinant of the hankel matrix with binomial entries

abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

Topological strings in generalized complex space

A two-dimensional topological sigma-model on a generalized Calabi-Yau target space X is defined. The model is constructed in Batalin-Vilkovisky formalism using only a generalized complex structure J and a pure spinor ρ on X . In the present construction the algebra of Q-transformations automatically closes off-shell, the model transparently depends only on J , the algebra of observables and cor...