Results 21 to 30 of about 685,794 (281)

On the Multiple Gamma-Functions

open access: yesTokyo Journal of Mathematics, 1998
The authors obtain generalizations of the Shintani type infinite product representations for the \(r\)-ple gamma functions \(\Gamma_r(w;\widetilde\omega)\) and \(r\)-ple Stirling's modular forms \(\rho_r(\widetilde\omega)\) in the sense of Barnes. As an application, ``a simple proof'' of the inversion formulas of theta-function and Dedekind \(\eta ...
KATAYAMA, Koji, OHTSUKI, Makoto
openaire   +2 more sources

Gene expression profiling in cells with enhanced gamma-secretase activity.

open access: yesPLoS ONE, 2009
BackgroundProcessing by gamma-secretase of many type-I membrane protein substrates triggers signaling cascades by releasing intracellular domains (ICDs) that, following nuclear translocation, modulate the transcription of different genes regulating a ...
Alexandra I Magold   +2 more
doaj   +1 more source

Auditory driven gamma synchrony is associated with cortical thickness in widespread cortical areas

open access: yesNeuroImage, 2022
Objective: Gamma synchrony is a fundamental functional property of the cerebral cortex, impaired in multiple neuropsychiatric conditions (i.e. schizophrenia, Alzheimer's disease, stroke etc.). Auditory stimulation in the gamma range allows to drive gamma
Anna-Lisa Schuler   +7 more
doaj   +1 more source

The alpha-gamma transition of Cerium is entropy-driven [PDF]

open access: yes, 2005
We emphasize, on the basis of experimental data and theoretical calculations, that the entropic stabilization of the gamma-phase is the main driving force of the alpha-gamma transition of cerium in a wide temperature range below the critical point. Using
A. Georges   +5 more
core   +1 more source

Power Spectrum and Connectivity Analysis in EEG Recording during Attention and Creativity Performance in Children

open access: yesNeuroSci, 2022
The present research aims at examining the power spectrum and exploring functional brain connectivity/disconnectivity during concentration performance, as measured by the d2 test of attention and creativity as measured by the CREA test in typically ...
Diego M. Mateos   +3 more
doaj   +1 more source

Master Integrals for Fermionic Contributions to Massless Three-Loop Form Factors [PDF]

open access: yes, 2007
In this letter we continue the calculation of master integrals for massless three-loop form factors by giving analytical results for those integrals which are relevant for the fermionic contributions proportional to N_F^2, N_F*N, and N_F/N.
Anastasiou   +45 more
core   +6 more sources

Large values of error terms of a class of arithmetical functions [PDF]

open access: yes, 2002
We consider the error terms of a class of arithmetical functions whose Dirichlet series satisfy a functional equation with multiple gamma factors. Our aim is to establish Ω± results to a subclass of these arithmetical functions with a good localization ...
Lau, YK, Tsang, KM
core   +1 more source

Superimposed gratings induce diverse response patterns of gamma oscillations in primary visual cortex

open access: yesScientific Reports, 2021
Stimulus-dependence of gamma oscillations (GAMMA, 30–90 Hz) has not been fully understood, but it is important for revealing neural mechanisms and functions of GAMMA. Here, we recorded spiking activity (MUA) and the local field potential (LFP), driven by
Bin Wang   +12 more
doaj   +1 more source

A foundation for higher-order concurrent constraint programming [PDF]

open access: yes, 1994
We present the gamma-calculus, a computational calculus for higher-order concurrent programming. The calculus can elegantly express higher-order functions (both eager and lazy) and concurrent objects with encapsulated state and multiple inheritance.
Gerd, Smolka
core   +3 more sources

A Set of Mathematical Constants Arising Naturally in the Theory of the Multiple Gamma Functions

open access: yesAbstract and Applied Analysis, 2012
We introduce a set of mathematical constants which is involved naturally in the theory of multiple Gamma functions. Then we present general asymptotic inequalities for these constants whose special cases are seen to contain all results very recently ...
Junesang Choi
doaj   +1 more source

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