Results 31 to 40 of about 15,327 (120)

Bilateral Bailey pairs and Rogers–Ramanujan type identities

open access: yesThe Ramanujan Journal
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Liu, Xiangxin, Sun, Lisa Hui
openaire   +3 more sources

On some new Bailey pairs and new expansions for some mock theta functions [PDF]

open access: yesMethods and Applications of Analysis, 2016
In this paper we offer some new identities associated with mock theta functions and establish new Bailey pairs related to indefinite quadratic forms. We believe our proof is instructive use of changing base of Bailey pairs, and offers new information on some Bailey pairs that have proven important in the study of Mock theta functions.
openaire   +2 more sources

Bailey Pairs for the Tetrahedron Index

open access: yes
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Gahramanov, Ilmar   +2 more
openaire   +2 more sources

Bailey pairs and quantum q-series identities. I. The classical identities

open access: yesArabian Journal of Mathematics
Abstract We use Bailey pairs to prove q -series identities at roots of unity due to Cohen and Bryson–Ono–Pitman–Rhoades. The proofs use Bailey pairs with quadratic forms developed in the study of mock theta functions. In addition to the standard Bailey lemma, we require some
Jehanne Dousse, Jeremy Lovejoy
openaire   +2 more sources

Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee

open access: yesSymmetry, Integrability and Geometry: Methods and Applications
We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields a number of related identities as well as false theta companions.
Kanade, Shashank, Lovejoy, Jeremy
openaire   +2 more sources

On Bailey Pairs For $N$ = 2 Supersymmetric Gauge Theories On ${S}_{B}^{3}/{ℤ}_{R}$

open access: yes, 2023
We study Bailey pairs construction for hyperbolic hypergeometric integral identities acquired via the duality of lens partitions functions for the three-dimensional $N$ = 2 supersymmetric gauge theories on ${S}_{b}^{3}/{ℤ}_{r}$ . The novel Bailey pairs are constructed for the star-triangle relation, the star-star relation, and the pentagon identity ...
Gahramanov, Ilmar   +3 more
openaire   +2 more sources

Two new Bailey pairs and their $q$-identities of Rogers-Ramanujan type modulo 15, 24, and 30

open access: yes
In this paper, we first establish two new Bailey pairs via finding two generalizations of Euler's pentagonal number theorem. Next, we specificize the Bailey lemmas with these two Bailey pairs. As applications, we finally establish some $q$-series transformations and $q$-identities of Rogers-Ramanujan type modulo 15, 24, and 30.
Xu, Jianan, Ma, Xinrong
openaire   +2 more sources

Efficient RFLP-based Protocol for Routine Authentication of Drosophila. [PDF]

open access: yesMicroPubl Biol
Shiran MG   +5 more
europepmc   +1 more source

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