We generalize our work on Carlitz prime power torsion extension to extensions of Drinfeld modules arbitrary rank. As in the case, we give a description these terms evaluations Anderson generating functions and their hyperderivatives at roots unity. also direct proof that image Galois representation attached $\mathfrak{p}$-adic Tate module lies points motivic group. This is generalization corres...

Abstract Background The use of the Taylor-Quinney coefficient for introducing a thermal dissipation term into material models relies on understanding its dependencies. These are usually determined through extensive experimentation, wherein temperature variations monitored in test piece during mechanical loading. Objective This study aims to reduce cost and time necessary determining dependencie...

In this paper, we address Hardy–Hilbert-type inequality by virtue of constructing weight coefficients and introducing parameters. By using the Euler–Maclaurin summation formula, Abel’s partial differential mean value theorem, a new weighted containing two sums can be proven, which is further generalization an existing result. Based on obtained results, provide equivalent statements best possibl...

Within the framework of Taylor Model implementations, the multiplication of Taylor models is the most time intensive operation, and thus benefits most from performance improvements. We note that in the mulplication, every coefficient is utilized repeatedly in various products, and so it is possible to do limited pre-processing of the coefficients without performance penalty due to the preproces...

We consider a general class of first-order nonlinear delay-differential equations (DDEs) with reflectional symmetry, and study completely the bifurcations of the trivial equilibrium under some generic conditions on the Taylor coefficients of the DDE. Our analysis reveals a Hopf bifurcation curve terminating on a pitchfork bifurcation line at a codimension two Takens–Bogdanov point in parameter ...