Results 61 to 70 of about 96,198 (304)
Tur\'an type inequalities for Tricomi confluent hypergeometric functions
, 2012 Some sharp two-sided Tur\'an type inequalities for parabolic cylinder functions and Tricomi confluent hypergeometric functions are deduced. The proofs are based on integral representations for quotients of parabolic cylinder functions and Tricomi ...
Baricz, Árpád, Ismail, Mourad E. H.
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On quotients and differences of hypergeometric functions [PDF]
Journal of Inequalities and Applications, 2011 Abstract For Gaussian hypergeometric functions F(x) = F(a, b; c; x), a, b, c > 0, we consider the quotient Q F (x, y) = (F(x) + F(y))/F(z) and the difference D F (x, y) = F(x) + F(y) - F(z) for 0 < x, y < 1 with z = x + y - xy.
Slavko Simic, Matti Vuorinen
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IncRNA‐ZFAS1, an Emerging Gate‐Keeper in DNA Damage‐Dependent Transcriptional Regulation
Advanced Science, EarlyView.LncZFAS1 plays a crucial role during DNA damage response in mammalian cells. Loss of lncZFAS1 results in deficient DNA lesion removal and reduced cell viability. Mechanistically, lncZFAS1 modulates RNAPII phosphorylation and transcription and thereby promotes both GG‐NER and TC‐NER upon UV damage.
Jiena Liu +10 more
wiley +1 more source
Certain Properties of q-Hypergeometric Functions
International Journal of Mathematics and Mathematical Sciences, 2015 The quotients of certain q-hypergeometric functions are presented as g-fractions which converge uniformly in the unit disc. These results lead to the existence of certain q-hypergeometric functions in the class of either q-convex functions, PCq, or q ...
Uzoamaka A. Ezeafulukwe, Maslina Darus
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A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$.
Santosh B. Joshi +2 more
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Advanced Science, EarlyView.CTSK plays a critical role in pulmonary fibrosis. Excessive CTSK accumulation interacts with SNX9 to enhance TGF‐β1‐induced SMAD3 activation and GLS1 expression in fibroblasts, driving glutamine metabolism for collagen biosynthesis and exacerbating pulmonary fibrosis.
Mengting Chen +10 more
wiley +1 more source
A Connection Formula for the q-Confluent Hypergeometric Function
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)$. Combining our connection formula with Zhang's connection formula for ${}_2varphi_0(a,b;-;q,x)$, we obtain the connection formula for the $q$-confluent ...
Takeshi Morita
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De Novo Reconstruction of 3D Human Facial Images from DNA Sequence
Advanced Science, EarlyView.This study introduces Difface, a novel deep‐learning model for reconstructing 3D facial images only from DNA data. By integrating transformer networks, spiral convolutions, and a diffusion model, Difface directly aligns high‐dimensional SNP data with 3D facial structures.
Mingqi Jiao +11 more
wiley +1 more source
A relativistic hypergeometric function [PDF]
Journal of Computational and Applied Mathematics, 2005 AbstractWe survey our work on a function generalizing 2F1. This function is a joint eigenfunction of four Askey–Wilson-type hyperbolic difference operators, reducing to the Askey–Wilson polynomials for certain discrete values of the variables. It is defined by a contour integral generalizing the Barnes representation of 2F1.
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Advanced Science, EarlyView.This study investigates hypoglycemia‐induced diabetic macrovascular endothelial dysfunction. It reveals that hypoglycemia triggers ZBP1‐dependent PANoptosis of endothelial cells, proinflammatory polarization of macrophages, and fibrosis of vascular smooth muscle cells (VSMCs) in diabetic mice.
Deyu Zuo +10 more
wiley +1 more source