Multifold inverse series relations and multivariate derivative identities

DOI10.1080/03081087.2020.1743635zbMath1495.26016OpenAlexW3010939833MaRDI QIDQ5064505

Chu, Wenchang

Publication date: 16 March 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2020.1743635

zbMATH Keywords

Leibniz rulePfaff and Cauchy derivative identitiesconvolution formulae on multinomial coefficientsunivariate and multivariate inverse series relations

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Cites Work

• Generalization of a theorem of Jensen concerning convolutions
• Multifold analogues of Gould-Hsu inversions and their applications
• A new combinatorial interpretation for generalized Catalan number
• Multidimensional matrix inversions and \(A_r\) and \(D_r\) basic hypergeometric series
• Multivariate analogues of Gould-Hsu inversions with applications to convolution-type formulas
• Identities of Rothe-Abel-Schläfli-Hurwitz-type
• On some classes of inverse series relations and their applications
• Inversion techniques and combinatorial identities. A unified treatment for the \(_ 7F_ 6\)-series identities
• Inversion techniques and combinatorial identities: Balanced hypergeometric series.
• Sone new inverse series relations
• Summation theorems for multidimensional basic hypergeometric series by determinant evaluations
• The Pfaff/Cauchy derivative identities and Hurwitz type extensions
• Some Generalizations of Vandermonde's Convolution
• Final Analysis of Vandermonde's Convolution
• A Nonlinear Differential Operator Series That Commutes with Any Function
• Functional Composition Patterns and Power Series Reversion
• Some Convolutions with Multinomial Coefficients and Related Probability Distributions
• Extensions of Vandermonde Type Convolutions with Several Summations and their Applications - I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multifold inverse series relations and multivariate derivative identities