AbstractAs a unified extension of determinant and permanent, a new matrix function with two extra parameters is introduced. Basic formulas are established, which contain several known relations between determinants and permanents as special cases. Some expansions in terms of the matrix functions are investigated, which yield MacMahon's master theorem, its dual version, and their common generalization
AbstractWe derive an expansion for a certain determinant that involves two sets of formal variables....
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractA matrix function, depending on a parameter t, and interpolating between the determinant and...
A matrix function, depending on a parameter t, and interpolating between the determinant and the pe...
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
We consider a number of generalizations of the $\beta$-extended MacMahon Master Theorem for a matrix...
A major problem in theoretical computer science is the Permanent vs. Deter-minant problem. It asks: ...
MacMahon\u27s Master Theorem is an important result in the theory of algebraic combinatorics. It giv...
MacMahon\u27s Master Theorem is an important result in the theory of algebraic combinatorics. It giv...
AbstractStarting from recent formulas for calculating the permanents of some sparse circulant matric...
AbstractAn extended version of the classical MacMahon's “Master Theorem” to algebraicstructures much...
El matemático Agustin-Louis Cauchy en su famosa memoria de 84 páginas desarrolla la teoría de los de...
summary:In this short note we provide an extension of the notion of Hessenberg matrix and observe an...
International audienceAn extended version of the classical MacMahon's “Master Theorem” to algebraics...
AbstractWe derive an expansion for a certain determinant that involves two sets of formal variables....
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
AbstractA matrix function, depending on a parameter t, and interpolating between the determinant and...
A matrix function, depending on a parameter t, and interpolating between the determinant and the pe...
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
We consider a number of generalizations of the $\beta$-extended MacMahon Master Theorem for a matrix...
A major problem in theoretical computer science is the Permanent vs. Deter-minant problem. It asks: ...
MacMahon\u27s Master Theorem is an important result in the theory of algebraic combinatorics. It giv...
MacMahon\u27s Master Theorem is an important result in the theory of algebraic combinatorics. It giv...
AbstractStarting from recent formulas for calculating the permanents of some sparse circulant matric...
AbstractAn extended version of the classical MacMahon's “Master Theorem” to algebraicstructures much...
El matemático Agustin-Louis Cauchy en su famosa memoria de 84 páginas desarrolla la teoría de los de...
summary:In this short note we provide an extension of the notion of Hessenberg matrix and observe an...
International audienceAn extended version of the classical MacMahon's “Master Theorem” to algebraics...
AbstractWe derive an expansion for a certain determinant that involves two sets of formal variables....
AbstractA method is developed for expanding arbitrary powers of the characteristic polynomial of a m...
Let X be a square matrix of order k over a field F. The permanent of X is given by [Formula omitted...
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