In this paper, we study the four-dimensional real algebra of bihyperbolic numbers. Under
consideration of the spectral representation of the bihyperbolic numbers, we give a partial …

Sensitivity analysis with atmospheric chemical transport models may be used to quantify
influences of specific emissions on pollutant concentrations. This information facilitates …

In this paper, we develop topological modules over the ring of bicomplex numbers. We
discuss bicomplex convexity, hyperbolic-valued seminorms and hyperbolic-valued …

We consider modules over the commutative rings of hyperbolic and bicomplex numbers. In
both cases they are endowed with norms which take values in non–negative hyperbolic …

In this chapter, we consider bicomplex numbers with coefficients from Fibonacci sequence
and give some identities. Moreover, we demonstrate the accuracy of such identities by …

Bicomplex convolutional neural networks (BCCNN) are a natural extension of the
quaternion convolutional neural networks for the bicomplex case. As it happens with the …

In this paper we define a new function theory of slice monogenic functions of a Clifford
variable using the $ S $-functional calculus for Clifford numbers. Previous attempts of such a …

In this paper we first write a proof of the perceptron convergence algorithm for the complex
multivalued neural networks (CMVNNs). Our primary goal is to formulate and prove the …

We develop the theory for the Bergman spaces of generalized L p-solutions of the bicomplex-
Vekua equation∂‾ W= a W+ b W‾ on bounded domains, where the coefficients a and b are …

In this paper the mean ergodic theorem in bicomplex Banach modules is studied. Under
appropriate conditions of boundness for the iterates compositions of a bicomplex linear and …