Results 61 to 70 of about 38,229 (306)
Advanced Biology, EarlyView.The axolotl's remarkable regenerative abilities decline with age, the causes may include the numerous repetitive elements within its genome. This study uncovers how Ty3 retrotransposons and coexpression networks involving muscle and immune pathways respond to aging and regeneration, suggesting that transposons respond to physiological shifts and may ...
Samuel Ruiz‐Pérez +8 more
wiley +1 more source
Combinatorial proofs of symmetry formulas for the generalized hypergeometric series [PDF]
, 1989 In this paper we introduce the notion of weakly isomorphic combinatorial models. Several symmetry formulas involving the generalized hypergeometric series (for example, the Pfaff-Saalchütz identity which was first proved combinatorially by D.
Labelle, Jacques, Yeh, Yeong-Nan
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A short proof of an identity of Sylvester
International Journal of Mathematics and Mathematical Sciences, 1999 We present two short proofs of an identity found by Sylvester and rediscovered by Louck. The first proof is an elementary version of Knuth's proof and is analogous to Macdonald's proof of a related identity of Milne.
Gaurav Bhatngar
doaj +1 more source
Energy Symmetry Breaking of Dirac and Weyl Fermions in Magnetized Spinning Conical Geometries
Advanced Theory and Simulations, EarlyView.Exact solutions for relativistic fermions in magnetized, spinning conical geometries reveal defect‐induced symmetry breaking between fermion and antifermion energies. Energy levels depend on the magnetic field, background geometry, and fractionalized spin. When the defect's spin dominates, quantum effects diminish.
Abdullah Guvendi, Omar Mustafa
wiley +1 more source
On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences
MathematicsIn this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
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Advanced Science, EarlyView.Treatment of MPTP‐incubated cells with NAD+‐boosters increase the UPRmt/mitophagy‐related mitochondria quality control (MQC). Disturbed plasma UPRmt‐mitophagy‐mediated MQC profiles in PD patient samples. NMN inhibits motor deficit and forestalls neuropathology phenotypes of PD mice, which is required the atf4‐medicated UPRmt pathway.
Shuoting Zhou +16 more
wiley +1 more source
Integral pentagon relations for 3d superconformal indices
, 2016 The superconformal index of a three-dimensional supersymmetric field theory can be expressed in terms of basic hypergeometric integrals. By comparing the indices of dual theories, one can find new integral identities for basic hypergeometric integrals ...
Gahramanov, Ilmar, Rosengren, Hjalmar
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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
Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral [PDF]
, 2013 By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's $_6\psi_6$-series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's ...
Wang, Xiaoxia +2 more
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On computing some special values of hypergeometric functions
, 2014 The theoretical computing of special values assumed by the hypergeometric functions has a high interest not only on its own, but also in sight of the remarkable implications to both pure Mathematics and Mathematical Physics.
Ritelli, Daniele +1 more
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