DOAJ
Open Access
2020
A triple product formula for plane partitions derived from biorthogonal polynomials
Shuhei Kamioka
Abstrak
A new triple product formulae for plane partitions with bounded size of parts is derived from a combinato- rial interpretation of biorthogonal polynomials in terms of lattice paths. Biorthogonal polynomials which generalize the little q-Laguerre polynomials are introduced to derive a new triple product formula which recovers the classical generating function in a triple product by MacMahon and generalizes the trace-type generating functions in double products by Stanley and Gansner.
Topik & Kata Kunci
Penulis (1)
S
Shuhei Kamioka
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2020
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.6333
- Akses
- Open Access ✓