13 papers · ranked by Valyu relevance
Faten F. Abdulnabi, Hiba F. Al-Janaby, Firas Ghanim
Special Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain. We use Mittag-Leffler and Hurwitz Lerch zeta (HLZ) kernels to produce the Beta function using the…
Enes Ata
In this paper, modified gamma and beta functions containing generalized M-series in their kernel are defined. Also, modified Gauss and confluent hypergeometric functions are defined using the modified beta function. Then, some properties of these modified special functions are obtained. Finally, the relationships…
Khan, Nabiullah, Sk, Rakibul + 2 more
This paper investigates the generalized beta-logarithmic matrix function (GBLMF), which combines the extended beta matrix function and the logarithmic mean. The study establishes essential properties of this function, including functional relations, inequalities, finite and infinite sums, integral representations, and…
Shahid Mubeen, I. Aslam, Ghazi S. Khammsh, Ayman Shehata
for Several Variables Authors: ['Shahid Mubeen' 'I. Aslam' 'Ghazi S. Khammsh' 'Ayman Shehata'] Abstract. Recently, lot of developments and extension of gamma and beta function have been studied by many researchers due to their nice properties and variety of applications in different field of science. The aim of this…
Sobom M. Somé, Célestin C. Kokonendji, Francial Giscard B. Libengué Dobélé-Kpoka
extended-beta kernels with Bayesian adaptive bandwidths Authors: ['Sobom M. Somé' 'Célestin C. Kokonendji' 'Francial Giscard B. Libengué Dobélé-Kpoka'] Multivariate kernel density estimations have received much spate of interest. In addition to conventional methods of (non-)classical associated-kernels for (un)bounded…
Ioannis Kosmidis, Achim Zeileis
We introduce the XBX regression model, a continuous mixture of extended-support beta regressions for modeling bounded responses with or without boundary observations. The core building block of the new model is the extended-support beta distribution, which is a censored version of a four-parameter beta distribution…
M. A. Shpot
We extend the validity range of a Ramanujan's hypergeometric transformation formula proved by Berndt, Bhargava and Garvan [Trans. Amer. Math. Soc. 347 4163 (1995)] and study its implications. Relations to special values of complete elliptic integrals of the first kind in the singular value theory are established.…
Héctor Echavarría-Heras, Enrique Villa-Diharce, Abelardo Montesinos-López, Cecilia Leal-Ramírez
'Abelardo Montesinos-López' 'Cecilia Leal-Ramírez'] Title: Abstract Allometry refers to the relationship between the size of a trait and that of the whole body of an organism. Pioneering observations by Otto Snell and further elucidation by D’Arcy Thompson set the stage for its integration into Huxley’s explanation of…
Matthew W. Linakis, Cynthia Van Landingham, Alessandro Gasparini, Matthew P. Longnecker
Meta-analysis poses a challenge when original study results have been expressed in a non-uniform manner, such as when regression results from some original studies were based on a log-transformed key independent variable while in others no transformation was used. Methods of re-expressing regression coefficients to…
Ahmed M. Gemeay, Waleed Hamoud Alharbi, Alaa R. El-Alosey, Mazyar Ghadiri Nejad
'Mazyar Ghadiri Nejad'] This article suggests a new method to expand a family of life distributions by adding a parameter to the family, increasing its flexibility. It is called the extended Modi-G family of distributions. We derived the general statistical properties of the proposed family. Different methods of…
Govinda Prasad Dhungana, Vijay Kumar, Robert Jeenchen Chen
This study suggested a new four-parameter Exponentiated Odd Lomax Exponential (EOLE) distribution by compounding an exponentiated odd function with Lomax distribution as a generator. The proposed model is unimodal and positively skewed whereas the hazard rate function is monotonically increasing and inverted bathtubs.…
Alexander Humeniuk, William Glover
We present a library for evaluating multicenter integrals over polarization operators of the form $x^{m_x} y^{m_y} z^{m_z} r^{-k} C(r)$ using Cartesian Gaussian basis functions. $m_x, m_y, m_z \geq 0$, $k > 2$ are integers, while the cutoff function, $C(r)=(1 - e^{-\alpha r^2})^q$, with $\alpha \in \mathbb{R}_{+}$ and…
Chuliang Song, Muyang Lu, Joseph R. Bennett, Benjamin Gilbert + 2 more
Beta diversity—the variation among community compositions in a region—is a fundamental measure of biodiversity. Despite a diverse set of measures to quantify beta diversity, most measures have posited that beta diversity is maximized when each community has a single distinct species. However, this assumption overlooks…