Parametric Catalan Numbers and Catalan Triangles

By T. He. 2013

47 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/89f62492cf5872bc069f7146796d68d57bd50ad7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. S. Yuan
2. Sai-nan Zheng
3. Sheng-Liang Yang

In Computational Theory and Mathematics

1. S. Yuan
2. Sai-nan Zheng
3. Sheng-Liang Yang
4. X. Chen

In Discrete Mathematics and Combinatorics

1. S. Yuan
2. Sai-nan Zheng
3. Sheng-Liang Yang

Citations in the corpus

• Total positivity of recursive matrices (2015, background): “There are a lot of papers that consider combinatorics of the Catalan triangle [1,4,9,13–15,19].”
• Schroder Matrix as Inverse of Delannoy Matrix (2013, methodology): “From (30) and (10) of [9], we have f (x; e,d) = 1 + ex − √ e2x2 + 2(e + 2d)x + 1 −2dx = d−(e+d),−d(x),”