A Rational Catalan Formula for $(m,3)$-Hikita Polynomials

Ryan Kaliszewski; Debdut Karmakar

A Rational Catalan Formula for $(m,3)$-Hikita Polynomials

Combinatorics 2016-12-14 v1

Authors: Ryan Kaliszewski , Debdut Karmakar

Abstract

Building upon a recent formula for $(3,m)$ -Catalan polynomials, we describe a formula for $(3,m)$ -Hikita polynomials in terms related to Catalan polynomials. This formula shows a surprising relation among coefficients of Hikita polynomials and implies deeper recursive relations and proves the $q,t$ -symmetry of $(3,m)$ -Hikita polynomials.

Keywords

q-series and q-analogues

Cite

@article{arxiv.1612.04260,
  title  = {A Rational Catalan Formula for $(m,3)$-Hikita Polynomials},
  author = {Ryan Kaliszewski and Debdut Karmakar},
  journal= {arXiv preprint arXiv:1612.04260},
  year   = {2016}
}

Comments

17 pages. arXiv admin note: text overlap with arXiv:1611.04956

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