Computer Sciences & Mathematics Forum, Volume 7, Issue 1

We offer a new asymptotic expansion with an explicit remainder estimate in the central limit theorem. The results obtained are essentially based on new forms of asymptotic expansions in the central limit theorem. We also present a more accurate estim...

We consider a queuing system GIν|M|1|∞ with arrival of customers in batches, general renewal arrivals, exponential service times, single service channels and an infinite number of waiting positions, where customers are serviced in the order...

We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space. Also, we presented an example for this newly introduced space and...

This paper deals with fractional order three-phase-lag (TPL) thermo-elasticity in a micropolar thermoelastic half space medium with voids. The subsequent non-dimensional coupled equations are solved by using the normal mode analysis and eigenvalue ap...

In this article, we developed the idea of q-time scale calculus in quantum geometry. It includes the q-time scale integral operators and ∆q-differentials. It analyzes the fundamental principles which follow the calculus of q-time scales co...

Quantum–classical mechanics and the Franck–Condon principle related to quantum mechanics are discussed as two alternative theoretical approaches to molecular optical spectroscopy. The statement of the problem is connected with the singula...

The primary motivation of this article is to introduce the definition of a strongly belonging element of a brace, presenting some results concerning the case where I acts as an ideal of a brace, (A,+,∘). We find that an element a∈I acts as...

This article discusses the class of Periodic Generalized Poisson Integer-Valued Generalized Autoregressive Conditional Heteroscedastic PGPINGARCH models. The model, in addition to properly capture the periodic feature in the autocovariance structure,...

Recent mathematical models of reliability computer systems and telecommunication networks are based on distributions with heavy tails. This paper falls into the category of exploring the classical models with heavy tails: Gnedenko–Weibull, Burr...

In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), ...