Results 81 to 90 of about 2,821,192 (174)

Generalized the q-digamma and the q-polygamma functions via neutrices

, 2017
The q-digamma function ?q(x) and the q-polygamma functions ?(r)q(x), r ? N = {1,2,...} are defined for all x > 0 and 0 < q < 1. In this paper, the neutrices and the neutrix limit are used to define the q-digamma function q(x) and the q-
Ahmed Salem
core   +1 more source

Inequalities concerning the $(p,k)$-gamma and $(p,k)$-polygamma functions [PDF]

, 2019
In this paper, we establish several inequalities involving the $(p,k)$-gamma and $(p,k)$-polygamma functions. Among other tools, we employ the mean value therorem, the Hermite-Hadamard's inequality, Petrovic's inequality and the Holder's inequality ...
Nantomah, Kwara
core   +1 more source

Closed-Form Solution for CFAR Detection Threshold in G⁰ Distributed SAR Clutter

IEEE Access
We devise a constant false alarm rate (CFAR) detector for detecting targets in clutter regions with varying degrees of heterogeneity. The CFAR detector employs the $\mathcal {G}^{0}$ distribution for characterizing the statistics of background ...
Dheeren Ku Mahapatra, Sourabh Paul, Biswajit Dwivedy, Alejandro C. Frery   +3 more
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

Multiple Mellin-Barnes integrals with polygamma functions

International audienceMellin-Barnes (MB) integrals appear in various branches of physics and mathematics and are, in particular, used as a standard tool for evaluating multi-loop, multi-scale Feynman integrals both analytically and numerically.
Banik, Sumit, Friot, Samuel
core   +4 more sources

Thermomagnetic properties and its effects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods. [PDF]

Sci Rep, 2023
Okon IB, Onate CA, Horchani R, Popoola OO, Omugbe E, William ES, Okorie US, Inyang EP, Isonguyo CN, Udoh ME, Antia AD, Chen WL, Eyube ES, Araujo JP, Ikot AN.   +14 more
europepmc   +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  

Parameters of State in the Global Thermodynamics of Binary Ideal Gas Mixtures in a Stationary Heat Flow. [PDF]

Entropy (Basel), 2023
Maciołek A, Hołyst R, Makuch K, Giżyński K, Żuk PJ.   +4 more
europepmc   +1 more source

Some New Inequalities for Gamma and Polygamma Functions

, 2004
In this paper we derive some new inequalities involving the gamma function Γ, polygamma functions ψ = Γ'/Γ and ψ'. We also obtained two new sequences converging to Euler-Mascheroni constant γ very quickly. The method we use is new and can be applied
Batir, Necdet
core   +3 more sources

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   +1 more source