Results 171 to 180 of about 232,931 (221)

The n-fold convolution of generalized exponential-sum distribution functions

Applied Mathematics and Computation, 2003
The \(n\)-fold convolution of generalized exponential-sum distribution functions is derived. The solution for the calculation of the \(n\)-fold convolution of generalized exponential-sum distribution functions contains the solution for computing the \(n\)-fold convolution of pure exponential-sum distribution functions. Therefore, the solution presented
Ma, N.-Y., King, R. P.
openaire   +1 more source

A New Generalization of Exponentiated Exponential Distribution using Quantile Functions

SCOPUA Journal of Applied Statistical Research
Generalising existing probability distributions increases their appeal to researchers and expands their applicability to real-life situations by adding flexibility to the existing models. In this study, a new generalised class of the exponentiated exponential (EE) distribution is introduced, referred to as the T-Exponential Exponential{Y} or T-EE{Y ...
Rabia Idrees, Shakila Bashir
openaire   +1 more source

THE DOMAIN OF CONVERGENCE OF SERIES OF GENERALIZED EXPONENTIAL FUNCTIONS

Mathematics of the USSR-Sbornik, 1985
Let f(z) be an entire function of exponential type and of completely regular growth, let \(\bar D\) be its conjugate diagram and let \(\{\lambda_ n\}_ 1^{\infty}\) be a sequence of complex numbers such that \(\lim_{n\to \infty}(\ln n/\lambda_ n)=0.\) The author proves several theorems on the convex properties of the domain of convergence of the series \
openaire   +1 more source

Exponential generating functions and complexity of Lie varieties

Israel Journal of Mathematics, 1999
Let \({\mathfrak V}\) be a variety of Lie algebras, \(c_n({\mathfrak V})\) be the dimension of the linear span of all multilinear words with \(n\) distinct letters in the free algebra of the variety \({\mathfrak V}\). For every non-trivial variety of linear algebras \({\mathfrak V}\), some complexity function \({\mathcal C}({\mathfrak V},z)\) is ...
openaire   +2 more sources

Uniform convergence and the properties of the exponential and generalized exponential integral functions

Journal of Quantitative Spectroscopy and Radiative Transfer, 2010
Abstract The exponential integral function (EIF) and the generalized exponential integral function (GEIF) are defined as E ( x , y ) = ∫ 1 ∞ e − xu u − y du and G ( x , y , z ) = 1 Γ ( z + 1 ) ∫ 1 ∞ e − xu u − y ( ln u ) z du ...
Elgiz Bairamov, Seyhmus Yardimci
openaire   +1 more source

Exponential Decay of Truncated Correlation Functions Via the Generating Function: A Direct Method

Reviews in Mathematical Physics, 1998
We consider statistical mechanics lattice models where the external field dependent partition function can be represented as a standard polymer system. Using this polymer representation and elementary complex analytic arguments, we obtain upper bounds and give a simple proof on the uniform (in n) exponential decay of the n-point truncated correlation ...
Braga, Gastão A., Lima, Paulo C., O'Carroll, Michael L.   +2 more
openaire   +2 more sources

Factorization of Lagrange’s Expansion by Means of Exponential Generating Functions

SIAM Journal on Applied Mathematics, 1966
The direct expansion of the individual terms in (2) and (3) involves repeated use of combinatorial algebra with restrictions on the indices; the resulting coefficients, apart from one factor, are of the form corresponding to the factorization of the exponential of a series of derivatives.
openaire   +1 more source

Literal Neutrosophic and Plithogenic Marshall-Olkin Type II Class of Distributions with Application to Exponential Distribution

Journal of Neutrosophic and Fuzzy Systems
In this study, we introduce Marshall-Olkin type II class of distributions within the neutrosophic and plithogenic framework. We provide the formal expressions for the probability density function and derive the cumulative distribution function.
Danyah Danyah, M. B. Zeina, Riad K. Al-Hamido   +2 more
semanticscholar   +1 more source

Generalized Kernels of the Toeplitz Type for Exponentially Convex Functions

Ukrainian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Generalized exponential functions in variational calculations of molecular systems

Physical Review A, 2004
A generalization of exponential and Gaussian trial functions is proposed for variational calculations of few-body Coulomb systems. It is shown that the new functions allow us to express the matrix elements of the Hamiltonian in a closed form. In comparison with other methods they allow us, in the case of two-center Coulomb systems, to reduce the length
A. G. Donchev, S. A. Kalachev, N. N. Kolesnikov, V. I. Tarasov   +3 more
openaire   +1 more source