Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Some new results on Andrews' and Warnaar's q-identities

Qi Chen

Abstract

In this paper, by the technique of inverse relations and comparing coefficients, we establish some generalized forms of Andrews' q-series identity and two new Bailey pairs and q-identities closely related to Andrews-Warnaar's sum identity for partial theta functions.

Some new results on Andrews' and Warnaar's q-identities

Abstract

In this paper, by the technique of inverse relations and comparing coefficients, we establish some generalized forms of Andrews' q-series identity and two new Bailey pairs and q-identities closely related to Andrews-Warnaar's sum identity for partial theta functions.

Paper Structure

This paper contains 5 sections, 17 theorems, 80 equations.

Table of Contents

  1. Introduction
  2. Proofs of lemmas and theorems
  3. Preliminary lemmas
  4. The full proofs of the main theorems
  5. New proof of Warnaar's partial theta identity

Key Result

Theorem 1.1

Theorems & Definitions (17)

  • Theorem 1.1: Andrews' identity: 10
  • Theorem 1.2: Generalization of Andrews' identity-I
  • Theorem 1.3: Generalization of Andrews' identity-II
  • Theorem 1.4
  • Lemma 2.1
  • Lemma 2.2
  • Lemma 2.3
  • Theorem 2.4
  • Corollary 2.5
  • Corollary 2.6
  • ...and 7 more