By means of a difference operation, a pair of reciprocal formulas is established which can be regarded as a kind of multifold analogue of Gould-Hsu inversions. Its rotated forms are used to derive some series expansions. One of them implies MacMahon's master theorem
We obtain an explicit formula in terms of the partitions of the positive integer n to express the nt...
As an extension of a useful inverse pair due to Gould–Hsu (1973), a gene-ral pair of reciprocal rela...
Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued...
AbstractA pair of general reciprocal formulas is established which is the multifold analog of Gould-...
AbstractThis paper gives a brief exposition of several recent results obtained by the authors concer...
AbstractUsing the MacMahon Master Theorem, Carlitz, in (SIAM J. Appl. Math. 26 (1974), 431–436; 8 (1...
19 pages.International audienceThe multiplicate form of Gould--Hsu's inverse series relations enable...
AbstractA pair of general reciprocal formulas is established which is the multifold analog of Gould-...
Abstract. The multiplicate form of Gould–Hsu’s inverse series relations enables to investi-gate the ...
Abstract. The multiplicate form of Gould–Hsu’s inverse series relations enables to investi-gate the ...
AbstractWe compute the inverse of a specific infinite r-dimensional matrix, extending a matrix inver...
AbstractThis paper gives a brief exposition of several recent results obtained by the authors concer...
AbstractBy means of the Hagen–Rothe formula, we establish two new matrix inversions with four parame...
AbstractHere introduced is a class of combinatorial sums that can be treated by means of an embeddin...
AbstractPart I contains a combinatorial proof of a multivariable Lagrange inversion formula. Part II...
We obtain an explicit formula in terms of the partitions of the positive integer n to express the nt...
As an extension of a useful inverse pair due to Gould–Hsu (1973), a gene-ral pair of reciprocal rela...
Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued...
AbstractA pair of general reciprocal formulas is established which is the multifold analog of Gould-...
AbstractThis paper gives a brief exposition of several recent results obtained by the authors concer...
AbstractUsing the MacMahon Master Theorem, Carlitz, in (SIAM J. Appl. Math. 26 (1974), 431–436; 8 (1...
19 pages.International audienceThe multiplicate form of Gould--Hsu's inverse series relations enable...
AbstractA pair of general reciprocal formulas is established which is the multifold analog of Gould-...
Abstract. The multiplicate form of Gould–Hsu’s inverse series relations enables to investi-gate the ...
Abstract. The multiplicate form of Gould–Hsu’s inverse series relations enables to investi-gate the ...
AbstractWe compute the inverse of a specific infinite r-dimensional matrix, extending a matrix inver...
AbstractThis paper gives a brief exposition of several recent results obtained by the authors concer...
AbstractBy means of the Hagen–Rothe formula, we establish two new matrix inversions with four parame...
AbstractHere introduced is a class of combinatorial sums that can be treated by means of an embeddin...
AbstractPart I contains a combinatorial proof of a multivariable Lagrange inversion formula. Part II...
We obtain an explicit formula in terms of the partitions of the positive integer n to express the nt...
As an extension of a useful inverse pair due to Gould–Hsu (1973), a gene-ral pair of reciprocal rela...
Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued...
DOI
Add to ORKG