Results 21 to 30 of about 39,153 (198)

The Second Kummer Function with Matrix Parameters and Its Asymptotic Behaviour

Abstract and Applied Analysis, 2018
In the present article, we introduce the second Kummer function with matrix parameters and examine its asymptotic behaviour relying on the residue theorem. Further, we provide a closed form of a solution of a Weber matrix differential equation and give a
Georg Wehowar, Erika Hausenblas
doaj   +1 more source

Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x) [PDF]

, 2012
We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer.
Miller, A. R., Paris, Richard B.
core   +3 more sources

Dynamic Keynesian Model of Economic Growth with Memory and Lag

Mathematics, 2019
A mathematical model of economic growth with fading memory and continuous distribution of delay time is suggested. This model can be considered as a generalization of the standard Keynesian macroeconomic model.
Vasily E. Tarasov, Valentina V. Tarasova   +1 more
doaj   +1 more source

Compositional Data Modeling through Dirichlet Innovations

Mathematics, 2021
The Dirichlet distribution is a well-known candidate in modeling compositional data sets. However, in the presence of outliers, the Dirichlet distribution fails to model such data sets, making other model extensions necessary.
Seitebaleng Makgai, Andriette Bekker, Mohammad Arashi   +2 more
doaj   +1 more source

On a new class of summation formulae involving the Laguerre polynomial [PDF]

, 2012
By elementary manipulation of series, a general transformation involving the generalized hypergeometric function is established. Kummer’s first theorem, the classical Gauss summation theorem and the generalized Kummer summation theorem due to Lavoie et ...
Kim, Yong S., Paris, Richard B., Rathie, Arjun K.   +2 more
core   +3 more sources

On a trivial zero problem

International Journal of Mathematics and Mathematical Sciences, 2004
One trivial zero phenomenon for p-adic analytic function is considered. We then prove that the first derivative of this function is essentially the Kummer class associated with p.
Shaowei Zhang
doaj   +1 more source

Weighted-Type Wishart Distributions with Application

Revstat Statistical Journal, 2017
In this paper, we consider a general framework for constructing new valid densities regarding a random matrix variate. However, we focus specifically on the Wishart distribution.
M. Arashi , A. Bekker, Janet van Niekerk
doaj   +1 more source

Reciprocal Data Transformations and Their Back-Transforms

Stats, 2022
Variable transformations have a long and celebrated history in statistics, one that was rather academically glamorous at least until generalized linear models theory eclipsed their nurturing normal curve theory role.
Daniel A. Griffith
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The Asymptotic Expansion of Kummer Functions for Large Values of the $a$-Parameter, and Remarks on a Paper by Olver [PDF]

, 2016
It is shown that a known asymptotic expansion of the Kummer function $U(a,b,z)$ as $a$ tends to infinity is valid for $z$ on the full Riemann surface of the logarithm.
Volkmer, Hans
core   +3 more sources

An Extension of Wright Function and Its Properties

Journal of Mathematics, 2015
The paper is devoted to the study of the function Wα,βγ,δ(z), which is an extension of the classical Wright function and Kummer confluent hypergeometric function.
Moustafa El-Shahed, Ahmed Salem
doaj   +1 more source