On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms

• Autorzy: Alexander E. Patkowski
• Języki publikacji: EN

Abstrakty

EN

We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.

Kategorie tematyczne

• 11B65: Binomial coefficients; factorials; q -identities
• 33D99: None of the above, but in this section
• 33E99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 2
• Strony: 265-273

Daty

wydano

2011

Twórcy

autor

Alexander E. Patkowski

• University of Regina, Regina, Saskatchewan, Canada S4S 0A2

Identyfikatory

DOI

10.4064/cm122-2-12