Results 61 to 70 of about 17,253 (231)
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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Molecular and Cellular Hallmarks of Age‐Related Vestibular Hair Cell Degeneration
Advanced Science, EarlyView.This study utilizes single‐cell RNA‐seq transcriptomes, advanced imaging, and electrophysiology to examine universal and cell‐type‐specific aging signatures of vestibular hair cells. The study shows that impaired hair bundle function is a key driver of age‐related vestibular dysfunction.
Samadhi Kulasooriya +10 more
wiley +1 more source
Generating function of hypergeometric functions from the view point of change in the nature of hypergeometric series [PDF]
, 1999 Singh, Anand; Dhami, H.S.. (1999). Generating function of hypergeometric functions from the view point of change in the nature of hypergeometric series.
Singh, Anand, Dhami, H.S.
core
The sum of a multiple hypergeometric series [PDF]
, 1977 A transformation formula is given for the generalized hypergeometric function in series of similar functions. It is also shown how easily this formula can be applied to deduce various classes of summation theorems for multiple hypergeometric series.
Srivastava, H.M
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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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Structural Polymorphism of polyG Inclusions Revealed by In Situ Cryo‐Electron Tomography
Advanced Science, EarlyView.Correlative cryo‐electron tomography in primary cortical neurons and NIID mouse brain tissue reveals that polyG inclusions are interconnected ribbon‐like assemblies rather than canonical amyloid fibrils. Multiple compartment‐specific ribbon states show distinct 26S proteasome accessibility, while cytoplasmic ribbons contact and deform ER‐like ...
Yunwen Qian +12 more
wiley +1 more source
Resolution of an Isolated Case of a Quadratic Hypergeometric 2F1 Transformation
Axioms, 2022 The identity 2F1(α,β;2α;z)=(1−z2)−β2F1(β2,β+12;α+12;(z2−z)2) given, either by I.S. Gradshteyn and I.M. Ryzhik in Table of integrals series and products named 9.134 or in the handbook “mathematical functions with formulas, graphs and mathematical tables ...
Mohamed Jalel Atia
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Advanced Science, EarlyView.A cytokinin pathway transcription factor, RR2b, was artificially selected during soybean domestication and improvement based on its differential transcriptional activity, which correlates with ATT repeat polymorphisms in its promoter. RR2b balances yield and defense by fine‐tuning its expression level and offers a promising target for decoupling trade ...
Qun Ma +11 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.Systemic platelet factor 4 (PF4) is significantly depleted in amyotrophic lateral sclerosis (ALS). Peripheral PF4 replenishment restores central proteostasis by driving OPTN‐dependent, PINK1‐independent selective autophagy in motor neurons. This intervention effectively clears toxic SOD1 aggregates, blunts glial activation, and preserves neuromuscular ...
Qingjian Xie +12 more
wiley +1 more source