Results 31 to 40 of about 1,406,358 (336)

A refinement of a double inequality for the gamma function

, 2011
In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.Comment: 8 ...
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Relativistic Conic Beams and Spatial Distribution of Gamma-Ray Bursts [PDF]

, 2000
We study the statistics of gamma-ray bursts, assuming that gamma-ray bursts are cosmological and they are beamed in the form of a conical jet with a large bulk Lorentz factor $\sim 100$.
Heon‐Young Chang, Insu Yi, Renaud N.
core   +6 more sources

Somewhat (gamma,beta)-semicontinuous functions

Boletim da Sociedade Paranaense de Matemática, 2011
Summary: In this paper, some new classes of functions are introduced and studied by making use of \(\gamma\)-semiopen sets and \(\gamma\)-semiclosed sets.
Ennis Rosas, Carlos Carpintero, N. Rajesh   +2 more
openalex   +5 more sources

A completely monotonic function involving the tri- and tetra-gamma functions

, 2010
The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Inverses of Gamma Functions [PDF]

Constructive Approximation, 2014
Euler's Gamma function $ $ either increases or decreases on intervals between two consequtive critical points. The inverse of $ $ on intervals of increase is shown to have an extension to a Pick-function and similar results are given on the intervals of decrease, thereby answering a question by Uchiyama. The corresponding integral representations are
openaire   +3 more sources

Fixed-Time Stabilization of a Class of Stochastic Nonlinear Systems

Actuators, 2023
This paper investigates an improved fixed-time stability theory together with a state feedback controller for a class of nonlinear stochastic systems.
Zhenzhen Long, Wen Zhou, Liandi Fang, Daohong Zhu   +3 more
doaj   +1 more source

Chiral Phase Transition for SU(N) Gauge Theories [PDF]

, 1999
We describe the chiral phase transition for vector-like SU(N) gauge theories as a function of the number of quark flavors Nf by making use of an anomaly-induced effective potential.
Sannino, Francesco
core   +2 more sources

Some Gamma Function Inequalities [PDF]

Mathematics of Computation, 1993
A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio Γ ( x + 1 ) / Γ ( x + s ) \Gamma (x + 1)/\Gamma (x
openaire   +2 more sources

Optimal bounds for the generalized Euler–Mascheroni constant

Journal of Inequalities and Applications, 2018
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu   +3 more
doaj   +1 more source

Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives

Axioms
Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
doaj   +1 more source