beta function
Some Properties of the p-Adic Beta Function
... p-adic beta function is used in Dwork cohomology and an cohomological in- terpretation of p-adic beta function is given by ...p-adic beta functions as the p-adic etale and p-adic crys- ...
18
A new method for the beta function in the chiral symmetry broken phase
... volume beta function we determine is in a di ff erent scheme than the finite volume beta function measured via step-scaling, which in turn has its own dependence on the choice of c, the ratio ...
8
A Note on the Beta Function And Some Properties of Its Partial Derivatives
... t x − 1 (1 − t) y − 1 dt (1) for Rex > 0 and Rey > 0. It is often applied in many fields such as mathematical equations and probability theory. Its definition was extended to complex numbers values of x and y by ...
6
The five-loop beta function of Yang-Mills theory with fermions
... five-loop beta function this means that we can effectively evaluate the poles of all five-loop propagator integrals from the knowledge of propagator integrals with no more than four ...
18
A generalized beta function and associated probability density
... incomplete beta functions associated with the func- tion defined by ...generalized beta functions are used to study some statistical functions in later ...density function (pdf) involving the ...
12
Approximations and inequalities for the exponential beta function
... MSC: 26D15 Keywords: Beta function; Gamma function; Taylor’s formula; Analytic inequalities; Log-convexity; Global convexity.. 1 Introduction The ability to accurately predict the client[r] ...
19
On the four-loop strong coupling beta-function in the SM
... Obviously, this allows one to obtain the final result solely from massless propagator-type integrals. In (5), we also indicate the relation between the renormalization constants of quantum gluon field ˜ G and gauge-fixing ...
6
The zeros of the Dirichlet Beta Function encode the
... The deep reciprocal relationship between the nontrivial zeros, { }, of Riemann’s zeta function. 213[r] ...
11
The soft scalar mass beta-function
... We present an exact formula for the β-function for the soft-breaking scalar mass in an N = 1 supersymmetric gauge theory, in the form of an operator acting on the anomalous dimension. In particular we give the ...
10
An Inequality for the Beta Function with Application to Pluripotential Theory
... function ϕ : Ω → −∞, 0 such that the closure of the set {z ∈ Ω : ϕz < c} is compact in Ω, for every c ∈ −∞, 0; that is, for every c < 0 the level set {z ∈ Ω : ϕz < c} is relatively compact in Ω. The ...
8
On a $k$-extension of the Nielsen's $\beta$-Function
... Additional properties of this function can also be found in [9]. As shown in [2] and [6], the Nielsen’s β–function is very useful in evaluating and estimating certain integrals as well as some mathematical ...
11
Approximation by Complex Potentials Generated by the Euler's Beta Function
... Beta(α, β) ≤ C r ( f )α, for all | z | ≤ r, where C r ( f ) > 0 is independent of z (and α) but depends on f and r . Now, let q ∈ N ∪ { 0 } and 1 ≤ r < r 1 < R. By using the Cauchy’s formula and reasoning ...
15
Some inequalities involving k gamma and k beta functions with applications II
... k-beta function Here, we give some applications of the Ostrowski type inequality for the k-beta function and cumulative distribution ...distribution function, probability density ...
19
Inequalities with applications to some k analog random variables
... k-gamma function, k-poly- gamma function, k-beta function, k-hypergeometric functions, solutions of k-hypergeo- metric differential equations, contagious functions relations, inequalities and ...
14
Volume 22 - Article 10 | Pages 211–236
... (QS), Beta function, Gamma function, Hadwiger function, Model 2, and to the empirical five-year fertility data of 15 African ...error function used in proposing the AEM is one of the ...
28
A new representation of extended Mittage-Leffler function and its properties
... contains Gamma function, Beta function, Hypergeometric function, Bessel’s function, Mittag-Leffler.. 14.[r] ...
7
Estimating the polygamma functions for negative integers
... incomplete beta function and its partial derivatives for negative ...digamma function was generalized for negative integers by Jolevska-Tuneska et ...
8
The expression and function of thymosin beta 10 in tooth germ development
... Previous studies (Akhter et al., 2005; Ookuma et al., 2013) dem- onstrated that T b 4, another member of the beta-thymosin family, participates in the morphogenesis of the tooth germ. However, the in situ ...
12
Beta-cell function is associated with metabolic syndrome in Mexican subjects
... -cell function, decreased IS, an increased IR in subjects at metabolic balance without metabolic syndrome, and the progressive deterioration of β -cell function and IS in subjects with metabolic syndrome as ...
9
Effect of protein glycation by methylglyoxal on pancreatic beta cell function
... 60 the intermediate S-D-lactoylglutathione (Racker, 1951). In 1977 it was discovered that methylglyoxal and related aldehydes react with arginine residues, although the physiological significance of this was not ...
232