Results 1 to 10 of about 61 (60)

Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2020
Qi F, Huang CJ.
europepmc   +2 more sources

The Estimators of the Bent, Shape and Scale Parameters of the Gamma-Exponential Distribution and Their Asymptotic Normality

Mathematics, 2022
When modeling real phenomena, special cases of the generalized gamma distribution and the generalized beta distribution of the second kind play an important role.
Alexey Kudryavtsev, Oleg Shestakov
doaj   +1 more source

A class of completely monotonic functions involving the polygamma functions

Journal of Inequalities and Applications, 2022
Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
doaj   +1 more source

Inequalities for Basic Special Functions Using Hölder Inequality

Mathematics
Let p,q≥1 be two real numbers such that 1p+1q=1, and let a,b∈R be two parameters defined on the domain of a function, for example, f. Based on the well known Hölder inequality, we propose a generic inequality of the form |f(ap+bq)|≤|f(a)|1p|f(b)|1q, and ...
Mohammad Masjed-Jamei, Zahra Moalemi, Nasser Saad   +2 more
doaj   +1 more source

Information and Covariance Matrices for Multivariate Pareto (IV), Burr, and Related Distributions

International Journal of Industrial Engineering and Production Research, 2006
Main result of this paper is to derive the exact analytical expressions of information and covariance matrix for multivariate Pareto, Burr and related distributions.
GH. YARI, M. D JAFARI
doaj  

Information Covariance Matrices for Multivariate Burr III and Logistic Distributions

International Journal of Industrial Engineering and Production Research, 2008
Main result of this paper is to derive the exact analytical expressions of information and covariance matrices for multivariate Burr III and logistic distributions.
Gh. Yari, A.M. Djafari
doaj  

Exponential Families with External Parameters. [PDF]

Entropy (Basel), 2022
Favretti M.
europepmc   +1 more source

From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions. [PDF]

J Math Anal Appl, 2021
Qi F, Guo BN.
europepmc   +1 more source

Testing the Bethe ansatz with large N renormalons. [PDF]

Eur Phys J Spec Top, 2021
Mariño M, Miravitllas R, Reis T.
europepmc   +1 more source

Lipid metabolism in tumor-infiltrating T cells: mechanisms and applications. [PDF]

Life Metab, 2022
Ke XY, Zou M, Xu C.
europepmc   +1 more source