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The ever-growing applications and richness of approaches to the
Riordan group is captured in this comprehensive monograph, authored
by those who are among the founders and foremost world experts in
this field. Â The concept of a Riordan array has played a
unifying role in enumerative combinatorics over the last three
decades. The Riordan arrays and Riordan group is a new growth point
in mathematics that is both being influenced by, and continuing its
contributions to, other fields such as Lie groups, elliptic curves,
orthogonal polynomials, spline functions, networks, sequences and
series, Beal conjecture, Riemann hypothesis, to name several. In
recent years the Riordan group has made links to quantum field
theory and has become a useful tool for computer science and
computational chemistry. We can look forward to discovering further
applications to unexpected areas of research. Providing a baseline
and springboard to further developments and study, this book may
also serve as a text for anyone interested in discrete mathematics,
including combinatorics, number theory, matrix theory, graph
theory, and algebra.
The ever-growing applications and richness of approaches to the
Riordan group is captured in this comprehensive monograph, authored
by those who are among the founders and foremost world experts in
this field. The concept of a Riordan array has played a unifying
role in enumerative combinatorics over the last three decades. The
Riordan arrays and Riordan group is a new growth point in
mathematics that is both being influenced by, and continuing its
contributions to, other fields such as Lie groups, elliptic curves,
orthogonal polynomials, spline functions, networks, sequences and
series, Beal conjecture, Riemann hypothesis, to name several. In
recent years the Riordan group has made links to quantum field
theory and has become a useful tool for computer science and
computational chemistry. We can look forward to discovering further
applications to unexpected areas of research. Providing a baseline
and springboard to further developments and study, this book may
also serve as a text for anyone interested in discrete mathematics,
including combinatorics, number theory, matrix theory, graph
theory, and algebra.
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