scientific article

Publication date: 14 February 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (55)

General multi-sum transformations and some implications ⋮ Bailey pairs and indefinite quadratic forms. II: False indefinite theta functions ⋮ Families of multisums as mock theta functions ⋮ Some curious $q$-series expansions and beta integral evaluations ⋮ $q$-Gosper algorithm and simple Bailey pairs ⋮ Mock theta functions in terms of q-hypergeometric double sums ⋮ $U(n+1)$ WP-Bailey tree ⋮ $q$-series and $L$-functions related to half-derivatives of the Andrews-Gordon identity ⋮ The Bailey transform and false theta functions ⋮ Inversions of integral operators and elliptic beta integrals on root systems ⋮ Expansions in Askey-Wilson polynomials via Bailey transform ⋮ A new transformation formula involving derived WP-bailey pair and its applications ⋮ Some new transformations for Bailey pairs and WP-Bailey pairs ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Hall-Littlewood polynomials and characters of affine Lie algebras ⋮ Ramanujan-type partial theta identities and rank differences for special unimodal sequences ⋮ Unnamed Item ⋮ Rogers-Ramanujan type identities for alternating knots ⋮ New companions to the generalizations of the Göllnitz-Gordon identities ⋮ Overpartitions and Bressoud's conjecture. II ⋮ Unnamed Item ⋮ Certain transformation formulae for polybasic hypergeometric series ⋮ Unnamed Item ⋮ A reciprocity relation for WP-Bailey pairs ⋮ An elliptic $BC_n$ Bailey Lemma, multiple Rogers–Ramanujan identities and Euler’s Pentagonal Number Theorems ⋮ PARTIAL INDEFINITE THETA IDENTITIES ⋮ Extensions of the well-poised and elliptic well-poised Bailey lemma ⋮ Multilateral inversion of $A_{r}$, $C_{r}$, and $D_{r}$ basic hypergeometric series ⋮ Some identities between basic hypergeometric series deriving from a new Bailey-type transformation ⋮ Elliptic well-poised Bailey transforms and lemmas on root systems ⋮ A note on the Bailey transform, the Bailey pair and the WP Bailey pair and their applications ⋮ Constructive extensions of three summation formulas for $q$-series and their applications to bailey pairs ⋮ Positivity preserving transformations for 𝑞-binomial coefficients ⋮ An overpartition analogue of the Andrews-Göllnitz-Gordon theorem ⋮ Identities of the Rogers-Ramanujan-Bailey type ⋮ Bailey pairs and indefinite quadratic forms ⋮ General WP-Bailey chains ⋮ The Bailey lemma and Kostka polynomials ⋮ A $U(n + 1)$ Bailey lattice ⋮ On Warnaar's elliptic matrix inversion and Karlsson--Minton-type elliptic hypergeometric series ⋮ A new multivariable $_{6 } \psi _{6 }$ summation formula ⋮ A $U(n+1)$ WP-Bailey lattice and its applications ⋮ Unnamed Item ⋮ Positive alternating sums of integer partitions ⋮ Bilateral Bailey lemma and Rogers-Ramanujan identities ⋮ Certain applications of WP-Bailey pairs ⋮ On the Andrews-Yee identities associated with mock theta functions ⋮ The $C_n$ WP-Bailey chain ⋮ Some implications of the WP-Bailey tree ⋮ On a characteristic equation of well-poised Bailey chains ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lifting Bailey pairs to WP-Bailey pairs ⋮ CERTAIN NEW WP-BAILEY PAIRS AND BASIC HYPERGEOMETRIC SERIES IDENTITIES ⋮ Certain derived WP-bailey pairs and transformation formulas for q-hypergeometric series

This page was built for publication: