Integral representations for $\zeta(3)$ with the inverse sine function [PDF]
Masato Kobayashi
openalex +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
Learning a subject conceptually requires establishing a relationship between the conceptual and the operational knowledge. Definite integral, being one of the topics of the calculus course is where learners face extensive learning difficulties mostly ...
Ali DELİCE, Eyüp SEVİMLİ
doaj
Regularized Integral Representations of the Reciprocal Gamma Function
This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived.
Dimiter Prodanov
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Integral Cauchy Type Representations of Infinite Order Differential Operators in Spaces of Exponential Type Entire Functions Bounded on the Real Axis [PDF]
T. E. Stulova
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The role of histone modifications in transcription regulation upon DNA damage
This review discusses the critical role of histone modifications in regulating gene expression during the DNA damage response (DDR). By modulating chromatin structure and recruiting repair factors, these post‐translational modifications fine‐tune transcriptional programmes to maintain genomic stability.
Angelina Job Kolady, Siyao Wang
wiley +1 more source
Integral representations for Markov transition probabilities [PDF]
David G. Kendall
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Integration of circadian and hypoxia signaling via non‐canonical heterodimerization
CLOCK, BMAL1, and HIFs are basic helix‐loop‐helix and Per‐Arnt‐Sim domain (bHLH‐PAS) proteins, which function as transcription factors. bHLH‐PAS proteins are designated in two classes. Many class I proteins are regulated by environmental signals via their PAS domains, but such signals have not been identified for all.
Sicong Wang, Katja A. Lamia
wiley +1 more source
The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One
We investigate the quadratic decomposition and duality to classify symmetrical H_q-semiclassical orthogonal q-polynomials of class one where H_q is the Hahn's operator.
Abdallah Ghressi, Lotfi Khériji
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Weighted Anisotropic Integral Representations of Holomorphic Functions in the Unit Ball of 𝐶𝑛
We obtain weighted integral representations for spaces of functions holomorphic in the unit ball 𝐵𝑛 and belonging to area-integrable weighted 𝐿𝑝-classes with “anisotropic” weight function of the type ∏𝑛𝑖=1(1−|𝑤1|2−|𝑤2|2−⋯−|𝑤𝑖|2)𝛼𝑖, 𝑤=(𝑤1,𝑤2,…,𝑤𝑛)∈𝐵𝑛. The
Arman Karapetyan
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