Note on Total Positivity for a Class of Recursive Matrices
Liang Zhao and Fengyao Yan
School of Mathematical Sciences
Dalian University of Technology
Dalian 116024
P. R. China
Abstract:
In this note, we study the total positivity of a class of infinite
recursive matrices that depend on three infinite sets of independent
variables and on an integer parameter. We give a simple algebraic proof
and provide a few examples.
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(Concerned with sequences
A000108
A002802
A006298
A008288
A035309.)
Received August 17 2015; revised versions received April 11 2016; June 4 2016; July 2 2016.
Published in Journal of Integer Sequences, July 5 2016.
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