Results 61 to 70 of about 1,412,303 (334)

New extension of beta, Gauss and confluent hypergeometric functions

Cumhuriyet Science Journal, 2021
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar, Muhammad Lawan Kaurangini   +1 more
doaj   +1 more source

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

FEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo, Catherine S. Palmer, Jacqueline M. Kimmey   +2 more
wiley   +1 more source

Multiple Gamma functions and $L$-functions [PDF]

Mathematical Research Letters, 1996
Multiple gamma functions, first introduced and studied by E. W. Barnes and others around 1900, play an important role in the study of functional equations for Selberg zeta functions and other topics in modern analytic number theory. This paper makes a case for defining a multiple gamma function as a meromorphic function \(\Gamma_P(u)\) associated with ...
openaire   +1 more source

Sobolev regularity for the Monge-Ampere equation in the Wiener space

, 2012
Given the standard Gaussian measure $\gamma$ on the countable product of lines $\mathbb{R}^{\infty}$ and a probability measure $g \cdot \gamma$ absolutely continuous with respect to $\gamma$, we consider the optimal transportation $T(x) = x + \nabla ...
Bogachev, Vladimir I., Kolesnikov, Alexander V.   +1 more
core   +1 more source

Interplay between circadian and other transcription factors—Implications for cycling transcriptome reprogramming

FEBS Letters, EarlyView.
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley   +1 more source

GAMMA FACTORS IN FUNCTIONAL EQUATIONS [PDF]

Proceedings of the National Academy of Sciences, 1956
This paper is dedicated to Professor Alexander Petrunkevitch on his eightieth birthday. ntribution from the Osborn Zoological Laboratory, Yale University, New Haven, Connecticut. t Theresa Seessel fellow, Yale University, from the University of Vienna. F. A.
openaire   +3 more sources

The role of histone modifications in transcription regulation upon DNA damage

FEBS Letters, EarlyView.
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

Sharp Estimates of Pochhammer’s Products

Mathematics
Sharp, asymptotic estimates of classical and generalized rising/falling Pochhammer’s products having positive arguments are presented on the basis of Stirling’s approximation formula for the Γ function.
Vito Lampret
doaj   +1 more source

On the Special Gamma Function Over the Complex Two-Fold Algebras [PDF]

Neutrosophic Sets and Systems
The concept of special functions plays an important role in mathematical analysis and physics as well. In this paper, we study some different types of the special Gamma function defined on the two-fold fuzzy complex field, where we combine the classical
Nabil Khuder Salman
doaj   +1 more source

Some general Gompertz and Gompertz-Makeham life expectancy models

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Life expectancy models are highly important, as they indicate the populations health. The present models consider several types of factors, and by analyzing them we extend the formulae to new, mixed types in order to create particular representations ...
Drăgan Mihăiţă
doaj   +1 more source