Results 61 to 70 of about 4,179,714 (219)
Advances in High Energy Physics, 2018 We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before.
T. A. Ishkhanyan +2 more
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On Matrices Arising in the Finite Field Analogue of Euler’s Integral Transform
Mathematics, 2013 In his 1984 Ph.D. thesis, J. Greene defined an analogue of the Euler integral transform for finite field hypergeometric series. Here we consider a special family of matrices which arise naturally in the study of this transform and prove a conjecture of ...
Michael Griffin, Larry Rolen
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Extension of the q-Pfaff-Saalschütz Theorem by Two Integer Parameters
Mathematics, 2022 We investigate a class of terminating 3ϕ2-series that comes from the balanced series perturbed by two extra integer parameters. By making use of the linearization method, a general summation formula is established that extends the well-known q-Pfaff ...
Nadia N. Li, Wenchang Chu
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Advanced Science, EarlyView.A developmentally guided protocol reproducibly specifies EN1‐positive ventral midbrain dopaminergic (vmDA) progenitors from human pluripotent stem cells and yields functional vmDA neurons. Optogenetic induction of α‐synuclein aggregation elicits selective degeneration of TH‐positive neurons in 2D cultures and 3D neurospheroids, while transplanted ...
Heechang Moon +12 more
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Advanced Science, EarlyView.The mechanisms of microRNA cargo sorting to extracellular vesicles, important mediators of cell communication, are not fully understood. This study reveals that the microRNA‐production machinery acts as a ‘hub’ for the sorting of microRNAs to extracellular vesicles, a process regulated by dynamic organelle interactions.
Yuzhou Zeng +6 more
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Applications of Extended Kummer’s Summation Theorem
MathematicsIn the theory of hypergeometric series and generalized hypergeometric series, classical summation theorems, such as the two of Gauss and those of Kummer and Bailey for the series F12; those of Watson, Dixon, Whipple, and Saalschutz for the series F23 ...
Xiaoxia Wang +3 more
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Advanced Science, EarlyView.Under pathological stimulation, NCOA4 in macrophages interacts with STAT1 to promote CH25H transcription. The subsequent increase in 25‐HC production activates macrophages, triggers inflammatory responses and ferroptosis, and accelerates the progression of AAA.
Zhinan Wu +9 more
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Abel's method on summation by parts and theta hypergeometric series [PDF]
, 2008 Abel's lemma on summation by parts is reformulated to investigate systematically terminating theta hypergeometric series. Most of the known identities are reviewed and several new transformation and summation formulae are established.
JIA C., Chu, Wenchang, Jia, Cangzhi
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Triggered Calcium Lightning Programs Cochlear Development
Exploration, EarlyView.Summary: Before the onset of hearing, the developing inner ear generates spontaneous calcium signals that are thought to guide maturation. In this study, we discovered a rapid and widespread calcium flash—dubbed “Ca2+ lightning”—originating from supporting cells beneath the sensory hair cells, which triggers coordinated calcium waves across the entire ...
Qiang Ma +13 more
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A τ-Deformation of the Basic Horn Function H3 in q-Calculus
Journal of Function SpacesMotivated by the growing literature on basic (or q-) Horn-type series in quantum calculus and by τ-extensions of hypergeometric functions, we introduce a generalized basic τ-confluent Horn hypergeometric function H3.
Maryam G. Alshehri +3 more
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