Results 261 to 270 of about 945,067 (284)
Some of the next articles are maybe not open access.
Integrals associated with the multiple gamma function
Integral Transforms and Special Functions, 2014The multiple gamma function Γn(z), defined by a recurrence-functional equation as a generalization of the Euler gamma function, is used in many applications of pure and applied mathematics, and theoretical physics. The theory of the multiple gamma function has been related to certain spectral functions in mathematical physics, to the study of ...
openaire +1 more source
Local adaptive tone mapping with composite multiple gamma functions
2009 16th IEEE International Conference on Image Processing (ICIP), 2009We describe a high-speed method of correcting and compressing the dynamic range of images that can be operated intuitively and naturally. Adaptive operations are conducted for shadow, middle, and highlight tones in the local areas of images. Although natural image processing can be achieved with default parameters, we can set the parameters for each of
Sohsuke Shimoyama +3 more
openaire +1 more source
Kummer's formula for multiple gamma functions
2006The multiple gamma function is defined as \(\Gamma_r(x)=\exp(\zeta'_r(0, x))\) where \[ \zeta_r(s, x)=\sum_{n_1,\dots,n_r=0}^\infty(n_1+\dots+n_r+x)^{-s} \] is the multiple Hurwitz zeta-function and the differentiation is in the first variable \(s\). Note that \(\Gamma_1(x)=\Gamma(x)/\sqrt{2\pi}\), where \(\Gamma(x)\) is the Euler gamma function. For \(
Kurokawa Nobushige, Koyama Shin-ya
openaire +1 more source
An elliptic analogue of the multiple gamma function
Journal of Physics A: Mathematical and General, 2001The author introduces an elliptic analogue of Barnes's multiple gamma function, which generalizes the elliptic gamma function of \textit{S. N. M. Ruijsenaars} [J. Math. Phys. 38, No. 2, 1069-1146 (1997; Zbl 0877.39002)]. The fundamental properties of this function are given.
openaire +1 more source
Understanding biology to tackle the disease: Multiple myeloma from bench to bedside, and back
Ca-A Cancer Journal for Clinicians, 2014Giada Bianchi, Kenneth C Anderson
exaly
Multiple Myeloma: Charging Toward a Bright Future
Ca-A Cancer Journal for Clinicians, 2007Parameswaran N Hari
exaly
The multiplication formula for the gamma function andE-function series
Mathematische Annalen, 1959openaire +1 more source