In the present work, a new extension of two-variable Fubini polynomials is introduced by means polyexponential function, which called type 2 poly-Fubini polynomials. Then, some useful relations including Stirling numbers second and first kinds, usual polynomials, higher-order Bernoulli are derived. Also, summation formulas an integral representation for investigated. Moreover, unipoly-Fubini ut...

In the past, most threshold models considered a single variable. However, for some practical applications, with two variables may be needed. this paper, we propose two-threshold-variable integer-valued autoregressive model based on binomial thinning operator and discuss of its basic properties, including mean, variance, strict stationarity, ergodicity. We consider conditional least squares (CLS...

Etessami, Vardi and Wilke [5] showed that satisfiability of two-variable first order logic FO[<] on word models is Nexptime-complete. We extend this upper bound to the slightly stronger logic FO[<, succ,≡], which allows checking whether a word position is congruent to r modulo q, for some divisor q and remainder r. If we allow the more powerful modulo counting quantifiers of Straubing, Thérien ...