This work is dedicated to extensive research on basic almost-poised hypergeometric series. Approximately 200 formulas are established. Their applications to bilateral series, \(q\)-Clausen formulae, and Rogers-Ramanujan identities are provided.

Readership

Graduate students, research mathematicians, computer scientists and physicists working in special functions, combinatorics, and theoretical physics.

Table of Contents

• Introduction
• Basic almost poised series
• The \(q\)-Whipple transformations
• Bilateral almost-poised evaluations
• The Rogers-Ramanujan identities
• The \(q\)-Clausen-Orr-formulae
• Appendix: Mathematica program