Asymptotic formulae of two divergent bilateral basic hypergeometric series
, 2016 We provide new formulae for the degenerations of the bilateral basic hypergeometric function ${}_1 _1 ( a; b; q, z )$ with using the $q$-Borel-Laplace transformation. These are thought of as the first step to construct connection formulae of $q$-difference equation for ${}_1 _1 ( a; b; q, z )$.
Hironori Mori, Takeshi Morita
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Summation formulae for the bilateral basic hypergeometric series ${}_1ψ_1 ( a; b; q, z )$
, 2016 17 ...
Hironori Mori, Takeshi Morita
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A NOTE ON TRANSFORMATION FORMULAE FOR BILATERAL BASIC HYPERGEOMETRIC SERIES [PDF]
International Journal of Apllied Mathematics, 2013 Pankaj Srivastava +3 more
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On Certain Transformations of Poly-Basic Bilateral Hypergeometric Series
International Journal of Science and Research (IJSR), 2021 Brijesh Singh
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State-specific Regulation of Electrical Stimulation in the Intralaminar Thalamus of Macaque Monkeys: Network and Transcriptional Insights into Arousal. [PDF]
Adv Sci (Weinh)This study identifies an ILN‐driven arousal network responsible for rapid arousal during anesthesia through simultaneous EEG‐fMRI and DBS in macaques. Network‐based RNA sequencing reveals genes preferentially expressed within this arousal network, notably enriched in potassium channels and excitatory, parvalbumin‐expressing neurons, and ...
Zhang Z +9 more
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Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series [PDF]
, 2017 The bilateral series corresponding to many of the third-, fifth-, sixth- and eighth order mock theta functions may be derived as special cases of $_2 _2$ series \[ \sum_{n=-\infty}^{\infty}\frac{(a,c;q)_n}{(b,d;q)_n}z^n. \] Three transformation formulae for this series due to Bailey are used to derive various transformation and summation formulae for ...
James McLaughlin
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Four Variants of Riemann Zeta Function
Mathematics, 2022 By means of the generating function method and Dougall’s formulae for bilateral hypergeometric series, we examine four classes of infinite series, which may be considered as variants of Riemann zeta function. Several summation formulae are established in
Nadia N. Li, Wenchang Chu
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ON BILATERAL BASIC HYPERGEOMETRIC SERIES AND CONTINUED FRACTIONS
International Journal of Apllied Mathematics, 2013 Pankaj Srivastava, Debasisha Mishra
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BPS indices, modularity and perturbations in quantum K-theory
Journal of High Energy Physics, 2022 We study a perturbation family of N $$ \mathcal{N} $$ = 2 3d gauge theories and its relation to quantum K-theory. A 3d version of the Intriligator-Vafa formula is given for the quantum K-theory ring of Grassmannians.
Hans Jockers +3 more
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Ntoco Promotes Ferroptosis via Hnrnpab-Mediated NF-κB/Lcn2 Axis Following Traumatic Brain Injury in Mice. [PDF]
CNS Neurosci TherThe study identifies Ntoco as a critical regulator of ferroptosis in traumatic brain injury (TBI). Ntoco knockdown alleviates neuronal damage, while its overexpression exacerbates ferroptosis. This research highlights targeting Ntoco as a potential therapeutic strategy for reducing ferroptosis‐induced damage in TBI. ABSTRACT Objective Emerging evidence
Wang Q +10 more
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