A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of A-hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with A
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
The technique of residues is known for its many applications in different branches of mathematics. T...
A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singu...
AbstractA commutative ring A is said to be binomial if A is torsion-free (as a Z-module) and the ele...
AbstractWe study the distribution of binomial and multinomial coefficients in the residue classes mo...
AbstractA logarithmic residue is a contour integral of a logarithmic derivative (left or right) of a...
We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated pr...
Abstract: Residues to a given modulus have been introduced to mathe-matics by Carl Friedrich Gauss w...
For non-negative integers r we examine four families of alternating and non-alternating sign closed...
A large number of infinite sums, such as , cannot be found by the methods of real analysis. However,...
The binomial sequences are binary sequences that correspond to the diagonals of the binary Sierpinsk...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...
The (generalised) Mellin transforms of certain Chebyshev and Gegenbauer functions based upon the Che...
Given n polynomials in n variables with a finite number of complex roots, for any of their roots the...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
The technique of residues is known for its many applications in different branches of mathematics. T...
A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singu...
AbstractA commutative ring A is said to be binomial if A is torsion-free (as a Z-module) and the ele...
AbstractWe study the distribution of binomial and multinomial coefficients in the residue classes mo...
AbstractA logarithmic residue is a contour integral of a logarithmic derivative (left or right) of a...
We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated pr...
Abstract: Residues to a given modulus have been introduced to mathe-matics by Carl Friedrich Gauss w...
For non-negative integers r we examine four families of alternating and non-alternating sign closed...
A large number of infinite sums, such as , cannot be found by the methods of real analysis. However,...
The binomial sequences are binary sequences that correspond to the diagonals of the binary Sierpinsk...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...
The (generalised) Mellin transforms of certain Chebyshev and Gegenbauer functions based upon the Che...
Given n polynomials in n variables with a finite number of complex roots, for any of their roots the...
AbstractThe extension of Pascal's triangle by defining binomial coefficients (rn) for all integers n...
The application of the residue theorem to bilateral hypergeometric series identities is systematical...
The technique of residues is known for its many applications in different branches of mathematics. T...