3 papers
math.GM2025
Generalization of Jamet's test for convergence of number series and its new modifications
Artem M. Ponomarenko
In this article, we present new generalizations of logarithmic convergence tests for number series, from which we will derive various new generalizations of the Jamet's convergence…
math.GM2024
Two-dimensional generalized gamma function and its applications
Artem M. Ponomarenko
In this article, we present a new two-dimensional generalization of the gamma function based on the product of the one-dimensional generalized beta function and the one-dimensional…
math.GM2023
Logarithmic Integration Method for Solving of First and Second Order Differential Equations
Artem Ponomarenko
In this article we present logarithmic methods for solving first order and second order ordinary differential equations. The essence of the method is that we apply the basic proper…