Results 21 to 30 of about 948,028 (287)

On the Multiple Gamma-Functions

Tokyo 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

Multiple singular integrals and maximal operators related to homogeneous mappings

Journal of Inequalities and Applications, 2016
In this paper, we present the L p $L^{p}$ mapping properties of multiple singular integrals related to homogeneous mappings with rough kernels given by the radial function h ∈ Δ γ $h\in\Delta_{\gamma}$ (or h ∈ U γ $h\in U_{\gamma}$ ) for some γ > 1 ...
Feng Liu, Daiqing Zhang, Jing Zhang
doaj   +1 more source

New asymptotic expansions and Padé approximants related to the triple gamma function

Journal of Inequalities and Applications, 2022
In this work, our main focus is to establish asymptotic expansions for the triple gamma function in terms of the triple Bernoulli polynomials. As application, an asymptotic expansion for hyperfactorial function is also obtained.
Sourav Das, A. Swaminathan
doaj   +1 more source

Research on Performance of Fiber-Based Multiple Apertures Receiver System with PPM Modulation

天地一体化信息网络, 2021
The performance of fi ber-based FSO with multiple apertures receiver system was studied for pulse position modulation (PPM) .Expressions of PPM modulated signal-to-noise ratio (SNR) and bit-error rate (BER) for fi ber-based FSO multiple apertures ...
Kangning LI, Xu FENG, Jianwen GAO, Jing Ma   +3 more
doaj   +2 more sources

Ambient dose equivalent measurement with a CsI(Tl) based electronic personal dosimeter

Nuclear Engineering and Technology, 2019
In this manuscript, we present a method for the direct calculation of an ambient dose equivalent (H*(10)) for the external gamma-ray exposure with an energy range of 40 keV to 2 MeV in an electronic personal dosimeter (EPD).
Kyeongjin Park, Jinhwan Kim, Kyung Taek Lim, Junhyeok Kim, Hojong Chang, Hyunduk Kim, Manish Sharma, Gyuseong Cho   +7 more
doaj   +1 more source

A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order

Axioms, 2023
Using weight functions and parameters, as well as applying real analytic techniques, we derive a new Hardy–Hilbert-type integral inequality with the homogeneous kernel 1(x+y)λ+n involving one multiple upper limit function and one derivative function of ...
Bicheng Yang, Michael Th. Rassias
doaj   +1 more source

Determinant and Weyl anomaly of Dirac operator: a holographic derivation [PDF]

, 2011
We present a holographic formula relating functional determinants: the fermion determinant in the one-loop effective action of bulk spinors in an asymptotically locally AdS background, and the determinant of the two-point function of the dual operator at
Albin P, Allais A, Aros R, Aros R, Basar G, Bolognesi S Tong D, Branson T, Bär C, Carlip S, Chang A Qing J Yang P, D E Díaz, Dabholkar A Gomes J Murthy S, Denef F, Diaz D E, Diaz D E, Diaz D E, Dowker J S, Dowker J S, Dowker J S, Fefferman C, Fefferman C, Gaberdiel M R, Graham C R, Henneaux M, Henningson M, Imbimbo C, Karch A, Klebanov I R Pufu S S Safdi B R, Laia J N Tong D, Maldacena J, Myers R C, R Aros, Susskind L Witten E, Witten E, Witten E, Yamasaki Y   +35 more
core   +3 more sources

A Method for Detecting Outliers from the Gamma Distribution

Axioms, 2023
Outliers often occur during data collection, which could impact the result seriously and lead to a large inference error; therefore, it is important to detect outliers before data analysis. Gamma distribution is a popular distribution in statistics; this
Xiou Liao, Tongtong Wang, Guohua Zou
doaj   +1 more source

Effect of learning on slow gamma propagation between hippocampus and cortex in the wild-type and AD mice

Scientific Reports, 2022
Slow gamma oscillations (20–50 Hz) have been suggested to coordinate information transfer between brain structures involved in memory formation. Whereas the involvement of slow gamma in memory processing was studied by means of correlation between the ...
Katarzyna J. Blinowska, Maciej Kamiński, Nathalie Macrez, Aline Marighetto, Pierre Meyrand, Tiaza Bem   +5 more
doaj   +1 more source

Cosmological constraints from multiple tracers in spectroscopic surveys [PDF]

, 2017
We use the Fisher matrix formalism to study the expansion and growth history of the Universe using galaxy clustering with 2D angular cross-correlation tomography in spectroscopic or high resolution photometric redshift surveys.
Alarcon, Alex, Eriksen, Martin, Gaztanaga, Enrique   +2 more
core   +3 more sources