A new multidimensional matrix inverse with applications to multiple \(q\)-series
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Publication:1300979
DOI10.1016/S0012-365X(98)00374-4zbMath0936.33011OpenAlexW1965475246MaRDI QIDQ1300979
Christian Krattenthaler, Michael J. Schlosser
Publication date: 23 November 1999
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00374-4
matrix inversionbasic hypergeometric seriesinverse relations\(q\)-Abel identities\(q\)-Rothe identitiesMacMahon's Master Theorem
Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Theory of matrix inversion and generalized inverses (15A09) Other hypergeometric functions and integrals in several variables (33C70) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other basic hypergeometric functions and integrals in several variables (33D70)
Related Items
Nonterminating q-Whipple Transformations for Basic Hypergeometric Series in U(n), Decomposition and group theoretic characterization of pairs of inverse relations of the Riordan type, Two matrix inversions associated with the Hagen-Rothe formula, their \(q\)-analogues and applications, A Determinant Identity Implying the Lagrange–Good Inversion Formula, Multidimensional matrix inversions and elliptic hypergeometric series on root systems, Non-commutative extensions of the MacMahon Master Theorem, On Warnaar's elliptic matrix inversion and Karlsson--Minton-type elliptic hypergeometric series, A new multivariable \(_{6 } \psi _{6 }\) summation formula, Inversion of the Pieri formula for Macdonald polynomials, Integral Representation and Algorithms for Closed Form Summation, Some applications of Gasper's bibasic summation, A new multidimensional matrix inverse with applications to multiple \(q\)-series, Inverse relations and Schauder bases
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