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Degenerate exponential integral function and its properties [PDF]

Arab Journal of Mathematical Sciences
Purpose – In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties ...
Kwara Nantomah
doaj   +3 more sources

On the exponential generating function of labelled trees [PDF]

Comptes Rendus. Mathématique, 2021
We show that the generating function of labelled trees is not D ∞ -finite.
Bostan, Alin, Jiménez-Pastor, Antonio
openaire   +3 more sources

Neutrosophic Design of the Exponential Model with Applications [PDF]

Neutrosophic Sets and Systems, 2022
Operations on neutrosophic numbers generalize operations on crisp numbers. In this way, the neutrosophic approach quantifies data ambiguity and enables the generalization of the existing statistical model.
Zahid Khan, Muhammad Gulistan
doaj   +1 more source

A Class of Exponential Rayleigh Distribution and New Modified Weighted Exponential Rayleigh Distribution with Statistical Properties

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023
This paper deals with the mathematical method for extracting the Exponential Rayleighh  distribution based on mixed between the cumulative distribution function of Exponential distribution and  the cumulative distribution function of Rayleigh ...
Lamyaa Khalid Hussein, Huda Abdullah Rasheed, Iden Hasan Hussein   +2 more
doaj   +1 more source

Some Applications of the Wright Function in Continuum Physics: A Survey

Mathematics, 2021
The Wright function is a generalization of the exponential function and the Bessel functions. Integral relations between the Mittag–Leffler functions and the Wright function are presented. The applications of the Wright function and the Mainardi function
Yuriy Povstenko
doaj   +1 more source

Progressively Censored N-H Exponential Distribution

Journal of Statistical Theory and Applications (JSTA), 2021
An extended version of exponential distribution is considered in this paper. This lifetime distribution has increasing, decreasing and constant hazard rates.
M. R. Mahmoud, R. M. Mandouh
doaj   +1 more source

On Modifications of the Gamma Function by Using Mittag-Leffler Function

Journal of Mathematics, 2021
Mittag-Leffler function is a natural generalization of the exponential function. Recent applications of Mittag-Leffler function have reshaped the scientific literature due to its fractional effects that cannot be obtained by using exponential function ...
Asifa Tassaddiq, Abdulrahman Alruban
doaj   +1 more source

A New Generalization of Weighted Geometric Distribution and its Properties [PDF]

Journal of Statistical Theory and Applications (JSTA), 2017
Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete ...
H. Najarzadegan, M. H. Alamatsaz
doaj   +1 more source

Fractional-Modified Bessel Function of the First Kind of Integer Order

Mathematics, 2023
The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas.
Andrés Martín, Ernesto Estrada
doaj   +1 more source

A Note on Topp-Leone Odd Log-Logistic Inverse Exponential Distribution

Journal of Statistical Theory and Applications (JSTA), 2020
The inverse exponential distribution is widely used in the field of reliability. In this article, we present a generalization of the inverse exponential distribution in formation of Topp-Leone odd log-logistic inverse exponential distribution. We provide
Salman Abbas, Fakhar Mustafa, Syed Ali Taqi, Selen Cakmakyapan, Gamze Ozel   +4 more
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