Results 21 to 30 of about 232,848 (300)

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   +1 more source

Deformed exponential function for complex argument: writing roots of polynomial equations with complex coefficients [PDF]

Revista Brasileira de Ensino de Física
The generalization of the logarithm and exponential functions proposed by Tsallis in 1988 has brought contributions in several areas in the last decades.
Paulo S. Adami, Olavo H. Menin, Alexandre S. Martinez   +2 more
doaj   +1 more source

Hermite–Hadamard-type inequalities via n-polynomial exponential-type convexity and their applications

Advances in Difference Equations, 2020
In this paper, we give and study the concept of n-polynomial ( s , m ) $(s,m)$ -exponential-type convex functions and some of their algebraic properties. We prove new generalization of Hermite–Hadamard-type inequality for the n-polynomial ( s , m ) $(s,m)
Saad Ihsan Butt, Artion Kashuri, Muhammad Tariq, Jamshed Nasir, Adnan Aslam, Wei Gao   +5 more
doaj   +1 more source

$*$-exponential of slice-regular functions [PDF]

, 2018
According to [5] we define the $*$-exponential of a slice-regular function, which can be seen as a generalization of the complex exponential to quaternions.
Altavilla, Amedeo, de Fabritiis, Chiara
core   +2 more sources

Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers

Journal of Function Spaces, 2021
In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function.
Abdullah Alotaibi
doaj   +1 more source

On Some Bounds for the Exponential Integral Function

Journal of Nepal Mathematical Society, 2021
In 1934, Hopf established an elegant inequality bounding the exponential integral function. In 1959, Gautschi established an improvement of Hopf’s results. In 1969, Luke also established two inequalities with each improving Hopf’s results. In 1997, Alzer
K. Nantomah
semanticscholar   +1 more source

Limit Theorems for a Cox-Ingersoll-Ross Process with Hawkes Jumps [PDF]

, 2014
In this paper, we propose a stochastic process, which is a Cox-Ingersoll-Ross process with Hawkes jumps. It can be seen as a generalization of the classical Cox-Ingersoll-Ross process and the classical Hawkes process with exponential exciting function ...
Zhu, Lingjiong
core   +1 more source

A Stochastic Interpretation of Stochastic Mirror Descent: Risk-Sensitive Optimality [PDF]

, 2019
Stochastic mirror descent (SMD) is a fairly new family of algorithms that has recently found a wide range of applications in optimization, machine learning, and control. It can be considered a generalization of the classical stochastic gradient algorithm
Azizan, Navid, Hassibi, Babak
core   +2 more sources

Fractional calculus approach to study temperature distribution within a spinning satellite

Alexandria Engineering Journal, 2016
This paper deals with the temperature distribution within spinning satellites and problem is formulated in terms of fractional differential equation.
Jyotindra C. Prajapati, Krunal B. Kachhia, Shiv Prasad Kosta   +2 more
doaj   +1 more source

Time domain characterization of the Cole-Cole dielectric model

Journal of Electrical Bioimpedance, 2020
The Cole-Cole model for a dielectric is a generalization of the Debye relaxation model. The most familiar form is in the frequency domain and this manifests itself in a frequency dependent impedance.
Holm Sverre
doaj   +1 more source