9 citations · 25 across the 7 of their papers we have counts for
7 papers
Normalized Gompertz wavelets and their application
Grzegorz Rzadkowski
In the present paper, we define the Gompertz wavelets and show their basic properties. In particular, we prove that the admissibility condition holds for them. We also compute the…
Logistic wavelets and logistic function: An application to model the spread of SARS-CoV-2 virus infections
Grzegorz Rzadkowski
In the present paper, we model the cumulative number of persons reported to be infected by the SARS-CoV-2 virus, in a country or a region, by a sum of logistic functions. For a giv…
A Generalization of the Eulerian Numbers
Grzegorz Rzadkowski, Malgorzata Urlinska
In the present paper we generalize the Eulerian numbers (also of the second and third orders). The generalization is connected with an autonomous first-order differential equation,…
On some connections between the Gompertz function and special numbers
Grzegorz Rządkowski, Wojciech Rządkowski, Paweł Wójcicki
In the present paper we show that the Gompertz function, the Fisher-Tippett and the Gumbel probability distributions are related to both Stirling numbers of the second kind and Ber…
A new approach to the logistic function with some applications
Grzegorz Rzadkowski, Iwona Głażewska, Katarzyna Sawińska
In the present paper we propose a new approach to investigate the logistic function, commonly used in mathematical models in economics and management. The approach is based on indi…
An analytic approach to special numbers and polynomials
Grzegorz Rzadkowski
The purpose of this article is to present, in a simple way, an analytic approach to special numbers and polynomials. The approach is based on the derivative polynomials. The paper…
On some expansions for the Euler Gamma function and the Riemann Zeta function
Grzegorz Rzadkowski
In the present paper we introduce some expansions, based on the falling factorials, for the Euler Gamma function and the Riemann Zeta function. In the proofs we use the Faá di Brun…