Results 31 to 40 of about 15,327 (120)
Bilateral Bailey pairs and Rogers–Ramanujan type identities
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Liu, Xiangxin, Sun, Lisa Hui
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On some new Bailey pairs and new expansions for some mock theta functions [PDF]
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.
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A Remark on the q-Hypergeometric Integral Bailey Pair and the Solution to the Star-Triangle Equation
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Bailey pairs and quantum q-series identities. I. The classical identities
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
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Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
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
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On Bailey Pairs For $N$ = 2 Supersymmetric Gauge Theories On ${S}_{B}^{3}/{ℤ}_{R}$
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
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Two new Bailey pairs and their $q$-identities of Rogers-Ramanujan type modulo 15, 24, and 30
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
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Efficient RFLP-based Protocol for Routine Authentication of Drosophila. [PDF]
Shiran MG +5 more
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Challenges and Opportunities in Radioligand Therapy. [PDF]
Currie GM, Bailey DL.
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