Science Technology Engineering Mathematics History Thought Belief The Modern World
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Basic Notation
\(q\)-Binomial Theorem
Heine’s Transformation
The \(q\)-Pfaff-Saalschütz sum
Heine’s \(q\)-Gauss sum
\(q\)-Kummer sum
Watson’s transformation
The Jacobi triple product identity
Ramanujan’s Theta Functions
The quintuple product identity
Ramanujan’s \(_1 \psi_1\) summation
Bailey’s \(_6 \psi_6\) summation
Rogers-Fine identity
Bailey pairs
The Rogers-Ramanujan identities
Rogers-Ramanujan-Slater-type identities
Gaussian Polynomials
Bijective proofs
\(q\)-continued fractions
Lambert series
Mock theta functions