abstract 83

Bulletin of Computational Applied Mathematics (Bull CompAMa) 

83

Fractional Bicomplex Leibniz Type Rule in the Riemann-Liouville Sense

Nicolás Coloma, Antonio Di Teodoro, Diego Ochoa-Tocachi, José Palacios, Francisco Ponce

In this paper we find a Leibniz type formula  in the Riemann-Liouville sense that involves the weighted Cauchy-Riemann operator in a bicomplex algebra. To do this, we construct the Leibniz type rule in an analogous way in which the complex case is built [1], defining weighted Cauchy-Riemann Bicomplex operators and studying the behavior of the residue.

Keywords: Fractional Cauchy-Riemann operator; weighted Cauchy-Riemann operator; fractional bicomplex functions; bicomplex algebra; Leibniz type rule.

Cite this paper:

Coloma N., Di Teodoro A., Ochoa-Tocachi D., Palacios J., Ponce F. 

Fractional Bicomplex Leibniz Type Rule in the Riemann-Liouville Sense.

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 11, No.1 pp.103-139, 2023.