Journal of Integer Sequences, Vol. 19 (2016), Article 16.6.5

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


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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