Results 71 to 80 of about 96,198 (304)
Properties and Applications of Extended Hypergeometric Functions
In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar+2 more
doaj +1 more source
This study identifies ARID1B as a chromatin‐bound driver of tumor growth in TNBC. ARID1B impairs ARID1A function and directly activates oncogenic programs through SWI/SNF remodeling. Its nuclear localization, mediated by the KPNA2–KPNB1–RANBP2 import machinery, is essential for its tumor‐promoting activity.
Olena Odnokoz+14 more
wiley +1 more source
Necessity and sufficiency for hypergeometric functions to be in a subclass of analytic functions
The purpose of this paper is to introduce necessary and sufficient condition of (Gaussian) hypergeometric functions to be in a subclass of uniformly starlike and uniformly convex functions.
M.K. Aouf, A.O. Mostafa, H.M. Zayed
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This study highlights the role of connexin43 (Cx43) in mediating glia activation and neuroinflammation in glaucoma. Using Cx43 knockout mice, it is shown that macroglial cells‐derived Cx43 modulates microglial activation, proliferation, migration, and polarization.
Guoli Zhao+17 more
wiley +1 more source
Darboux evaluations of algebraic Gauss hypergeometric functions
This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy groups.
Vidunas, Raimundas
core +1 more source
In the tripartite‐species model, Drosophila larvae stimulate lactate production through excreting digestion enzymes. S. marcescens population senses a cue of lactate and tends to diverge into virulent and reduced virulence subclusters with remarkable heterogeneity to metabolize carbon metabolism and counter colonization resistance, giving a fitness ...
Sheng Zhang+10 more
wiley +1 more source
Our present investigation is mainly based on the k-hypergeometric functions which are constructed by making use of the Pochhammer k-symbol in Diaz et al. 2007, which are one of the vital generalizations of hypergeometric functions.
Övgü Gürel Yılmaz+2 more
doaj +1 more source
A class of hypergeometric functions
AbstractThe hypergeometric functions here considered depend upon N variables, N numerator parameters (each associated with two variables), and one denominator parameter; for N = 3, Srivastava's HC is obtained. For even values of N, a rather simple Eulerian integral representation of these functions is found. A few particular cases are mentioned.
openaire +2 more sources
A gastrula‐premarked enhancer within the first intron of Cdx2 governs posterior embryonic development via both regulating Cdx2 expression in cis and coordinating TGF‐β signaling in trans to ensure proper posterior body development. Functional rescue in gastruloids reveals a Cdx2‐independent pathway, highlighting p‐Enh‐eRNA as key epigenetic ...
Yingying Chen+16 more
wiley +1 more source
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj +1 more source