A.Z. Grinshpan, M.E.H. Ismail, Completely monotonic functions involving the gamma and q-gamma ...
一项资产的Beta是该资产收益率与其他资产收益率通过上述模型回归拟合的beta。比如，我们用回归模型 来描述...
We wish to point out that it can easily be generalized to yield the more inclusive result expressing the beta function in terms of the gamma function and the identity of Euler's and Gauss's definitions of the gamma function.doi:10.2307/2316440T. S. Nanjundiah...
The Kashiwara-Vergne conjecture and Drinfeld's associators {KV}_2 contains the Grothendieck-Teichmueller group GRT as a subgroup, and that it acts freely and transitively on the set of solutions of the KV ... A Alekseev,C Torossian - 《Annals of Mathematics》 被引量: 180发表: 2008年 ...
Inequalities for Beta and Gamma Functions via Some Classical and New Integral Inequalities p/ pIn this survey paper we present the natural applications of certain integral inequalities such as Chebychevs inequality for synchronous and asynchronou... SS Dragomir,RP Agarwal,NS Barnett - 《Journal of ...
play an important role in many fields. Beta functions are closely related to gamma functions. The article discusses the general properties of Beta functions and Gamma functions, and discusses Beta. The related properties of partial derivatives of functions. Because Beta functions and Gamma functions ...
Plot all of the beta functions in the same figure. Get plot(W,B) grid on legend('$z = 0.05$','$z = 0.1$','$z = 0.2$','$z = 1$','interpreter','latex') title('Beta function for $z = 0.05, 0.1, 0.2$, and $1$','interpreter','latex') xlabel('$w$','interpreter',...
and the following connection between the Beta and Gamma functions holds: B(α,β)=Γ(α)Γ(β)Γ(α+β),α>0,β>0, (2.3) where Γ(α)=∫0∞e−ttα−1dt,α>0. (2.4) The following properties of the Beta function also hold (see, for example, [2, pp. 68–70]): ...
Part 1 || The Gamma and Beta Functions: Notes and Problems Designed for Use in Mathematical Statistics and Mathematical Physics.by W. Edwards Deming RBTA Bancroft - 《Journal of the American Statistical Association》 被引量: 0发表: 1945年 The Gamma and Beta Functions; Notes and Problems ...
Some new inequalities for the q -gamma, the q -beta and the q -analogue of the Psi functions are established via some q -integral inequalities. 被引量: 0发表: 0年 The q-Gamma and q-Beta Functions F. H. Jackson defined q-analogue of the gamma function which extends the q-factorial ...