Publications related to Incomplete gamma function

On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros

Recently, we have applied the generalized Littlewood theorem concerning contour integrals of the logarithm of the analytical function to find the sums over inverse powers of zeros for the incomplete gamma and Riemann zeta functions, polygamma functions, an ...

MDPI2024

Power variations in fractional Sobolev spaces for a class of parabolic stochastic PDEs

Robert Dalang, Carsten Hao Ye Chong

We consider a class of parabolic stochastic PDEs on bounded domains D c Rd that includes the stochastic heat equation but with a fractional power gamma of the Laplacian. Viewing the solution as a process with values in a scale of fractional Sobolev spaces ...

INT STATISTICAL INST2023

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Serguei Sekatski

Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...

MDPI2023

Dynamics of cavitation bubbles near granular boundaries

Mohamed Farhat, Davide Bernardo Preso, Armand Baptiste Sieber

We study the dynamics of a cavitation bubble near beds of sand of different grain sizes. We use high-speed imaging to observe the motion of the bubble and the sand for different values of the stand-off parameter gamma (dimensionless bubble-boundary distanc ...

Cambridge University Press2022

Coarse graining and large-N behavior of the d-dimensional N-clock model

Matthias Ruf, Matthias Benjamin Ruf

We study the asymptotic behavior of the N-clock model, a nearest neighbors ferromagnetic spin model on the d-dimensional cubic epsilon-lattice in which the spin field is constrained to take values in a discretization S-N of the unit circle S-1 consisting o ...

2021

Emergence of Concentration Effects in the Variational Analysis of the N-Clock Model

Matthias Ruf, Matthias Benjamin Ruf

We investigate the relationship between the N-clock model (also known as planar Potts model or DOUBLE-STRUCK CAPITAL ZN-model) and the XY model (at zero temperature) through a Gamma-convergence analysis of a suitable rescaling of the energy as both the num ...

WILEY2022

Common Information Components Analysis

Michael Christoph Gastpar, Erixhen Sula

Wyner's common information is a measure that quantifies and assesses the commonality between two random variables. Based on this, we introduce a novel two-step procedure to construct features from data, referred to as Common Information Components Analysis ...

2021

Measurement of the CKM angle gamma and Bs0-Bs0 mixing frequency with Bs0 -> Ds -/+h +/-pi +/-pi-/+ decays

Olivier Schneider, Aurelio Bay, Yiming Li, Guido Haefeli, Frédéric Blanc, Christoph Frei, Tatsuya Nakada, Michel De Cian, Luca Pescatore, Chitsanu Khurewathanakul, Veronica Sølund Kirsebom, François Fleuret, Matthieu Philippe Luther Marinangeli, Minh Tâm Tran, Elena Graverini, Pietro Marino, Federico Leo Redi, Renato Quagliani, Plamen Hristov Hopchev, Federico Betti, Maxime Schubiger, Guido Andreassi, Aravindhan Venkateswaran, Violaine Bellée, Luis Miguel Garcia Martin, Olivier Göran Girard, Vitalii Lisovskyi, Axel Kuonen, Jian Wang, Preema Rennee Pais, Mingkui Wang, Pavol Stefko, Zhirui Xu, Tara Nanut, Yi Zhang, Maria Elena Stramaglia, Lei Zhang, Vladimir Macko, Guillaume Max Pietrzyk, Jessica Prisciandaro, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,

On the Exact Gevrey Order of Formal Puiseux Series Solutions to the Third Painleve Equation

Andrey Vasilyev

In this paper, we study the third Painleve equation with parameters gamma = 0, alpha delta not equal 0. The Puiseux series formally satisfying this equation (after a certain change of variables) asymptotically approximate of Gevrey order one solutions to t ...

2019

Measurement of eta(c) (1S), eta(c)(2S), and nonresonant eta 'pi(+)pi(-) production via two-photon collisions

Olivier Schneider, Roberto Gargiani, Yiming Li, Mingkui Wang, Tara Nanut, Chao Wang, Chunmin Zhang, Tagir Aushev, Seyed Sina Mirrazavi Salehian, Alexandra Bondarenko, Arnaud Michel Gelb, Jun Yong Kim, Yong Chan Choi, Ji Hyun Kim, Donghyun Kim, Martin Lubej, Xiao Wang, Lei Li

We report the measurement of gamma gamma -> eta(c) (1S) -> eta(c) (2S) -> eta'pi(+)pi(-) with eta' decays to gamma rho and eta pi(+)pi(-) using 941 fb(-1) of data collected with the Belle detector at the KEKB asymmetric-energy e(+)e(-) collider. The eta(c) ...

American Physical Society2018

Observation of D-0 -> rho(0)gamma and Search for CP Violation in Radiative Charm Decays

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We report the first observation of the radiative charm decay D-0 -> rho(0)gamma and the first search for CP violation in decays D-0 -> rho(0)gamma, phi gamma, and (K) over bar (*0)(892)gamma, using a data sample of 943 fb(-1) collected with the Belle detec ...

Amer Physical Soc2017

Stable Simulation of Multiport Passive Distributed Networks Using Time Marching Method

Farhad Rachidi-Haeri, Akiyoshi Tatematsu

In this paper, we present a stable method for simulating passive distributed networks connected to linear and nonlinear devices using the time marching (TM) method. The method is based on the use of the Z-transform for analyzing and obtaining the TM equati ...

Institute of Electrical and Electronics Engineers2017

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function

u

in multivariate polynomial spaces

P_\Lambda:=span\{y\mapsto y^\nu \,: \, \nu\in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma:=[-1,1]^d

, based on the s ...

2017

Evidence for Isospin Violation and Measurement of CP Asymmetries in B -> K*(892)gamma

Olivier Schneider, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We report the first evidence for isospin violation in B -> Kgamma and the first measurement of the difference of CP asymmetries between B+->.K(+)gamma and B-0 -> K-*0 gamma. This analysis is based on the data sample containing 772 x 10(6)BB pairs that wa ...

Amer Physical Soc2017

Search for D-0 decays to invisible final states at Belle

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We report the result from the first search for D-0 decays to invisible final states. The analysis is performed on a data sample of 924 fb(-1) collected at and near the gamma(4S) and gamma(5S) resonances with the Belle detector at the KEKB asymmetric-energy ...

American Physical Society2017

Model-independent measurement of the CKM angle gamma using B-0 -> DK*0 decays with D -> K (S) (0) pi (+)pi (-) and K (S) (0) K+K-

Olivier Schneider, Aurelio Bay, Yiming Li, Guido Haefeli, Frédéric Blanc, Christoph Frei, Tatsuya Nakada, Michel De Cian, Luca Pescatore, François Fleuret, Elena Graverini, Chitsanu Khurewathanakul, Renato Quagliani, Federico Betti, Alessandro Mapelli, Jian Wang, Zhirui Xu, Yi Zhang, Lei Zhang, Jessica Prisciandaro, Mark Tobin, Minh Tâm Tran, Niko Neufeld, Matthew Needham, Marc-Olivier Bettler, Greig Alan Cowan, Maurizio Martinelli, Donal Patrick Hill, Cédric Potterat, Liang Sun, Pietro Marino, Mirco Dorigo, Jean Wicht, Xiaoxue Han, Sebastiana Gianì, Liupan An, Federico Leo Redi, Ilya Komarov, Thibaud Humair, Maxime Schubiger, Hang Yin, , , , , , , , , , , , , , , , , , ,

The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes

Juan Ramon Mosig, Krzysztof Michalski

The classical Sommerfeld half-space problem is revisited, with generalizations to multilayer and plasmonic media and focus on the surface field computation. A new ab initio solution is presented for an arbitrarily oriented Hertzian dipole radiating in the ...

Taylor & Francis Ltd2016

Study of pi(0) pair production in single-tag two-photon collisions

Olivier Schneider, Yiming Li, Mingkui Wang, Chao Wang, Tagir Aushev, Sun Hee Kim, Tara Nanut, Jun Yong Kim, Ji Hyun Kim, Donghyun Kim, Dipanwita Dutta

We report a measurement of the differential cross section of pi(0) pair production in single-tag two-photon collisions, gamma*gamma -> pi(0) pi(0), in e(+) e(-) scattering. The cross section is measured for Q(2) up to 30 GeV2, where Q(2) is the negative of ...

American Physical Society2016

Estimating r(B)(D pi) as an input to the determination of the CKM angle gamma

Maurizio Martinelli

The interference between Cabibbo-favored and Cabibbo-suppressed B -> D pi decay amplitudes provides sensitivity to the CKM angle gamma. The relative size of the interfering amplitudes is an important ingredient in the determination of gamma. Using branchin ...

American Physical Society2016

Numerical Simulation of Solidification, Homogenization, and Precipitation in an Industrial Ni-Based Superalloy

Alain Jacot, Luc Rougier, Charles-André Gandin

A comprehensive simulation approach integrating solidification, homogenization, and precipitation during aging has been used to predict the formation of gamma/gamma' microstructures in the AM1 nickel-based superalloy. The particle size distribution of intr ...

Springer2016