6 citations · 25 across the 35 of their papers we have counts for
11 papers · 2 filters
A note on the hypercomplex singular Cauchy-like integral in Douglis analysis
Isidro Paulino-Basurto, Jean Marie Vilaire, José Oscar González-Cervantes +1
Hypercomplex analysis extends classical complex analysis to Douglis algebras, replacing holomorphic functions with hyperanalytic functions, i.e., null solutions of the Douglis oper…
Mobius invariant weighted reduced quaternionic Qp-modules
Isidro Paulino-Basurto, José Oscar González-Cervantes, Juan Bory-Reyes +1
In this paper, we introduce some weighted reduced quaternionic modules induced by a reduced quaternionic Cauchy-Riemann operator associated to arbitrary orthogonal bases of R3. A w…
Covariance property for a quaternionic fractional Cauchy-Riemann operator under affine transformation
Isidro Paulino-Basurto, José Oscar Gonzáles-Cervantes, Juan Bory-Reyes +1
In this paper, we continue the development of the foundations of a quaternionic function theory that is associated to a fractional proportional Cauchy-Riemann type operator acting…
On the Riemann Boundary Value Problem for Poly- and Meta-hyperanalytic Function Spaces over d-summable Curves
Yan Dai, Juan Bory-Reyes, Fuli He
Hyperanalytic functions, in the sense established by the mathematician Avron Douglis, are Douglis algebra-valued functions defined via a hypercomplex structure rather than the stan…
Exceptional supersphere integration and logarithmic Pizzetti kernels
Juan Bory-Reyes, Baruch Schneider, Diana Schneiderova +1
We study orthosymplectically invariant supersphere integration at the exceptional superdimensions , where the harmonic Fischer structure becomes nonsemisimple and the Pizzet…
A connection between quaternionic slice regular and Fueter hyperholormorphic functions
José Oscar González-Cervantes, Daniel González-Campos, Juan Bory-Reyes +1
This paper presents some results for the slice regular functions and hyperholomorphic functions theories, as consequences of new relationships between the global operator , Fuet…
Right q-vector calculus at integral superdimension: localized decompositions and resonance
Juan Bory-Reyes, Baruch Schneider, Diana Barseghyan Schneiderová +1
We specialize the intrinsic right -vector derivative on radial algebras to integral superdimension. The formal dimension is encoded by an independent coefficient , and formal…
A Non-integer Dimensional Space Approach to the Moisil-Teodorescu Operator
Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa, José Oscar González-Cervantes +1
The vector calculus in non-integer dimensional space (NIDS), including the NIDS version of the standard vector differential operators (gradient, divergence, and curl) is well-known…
On the Negation of a Hyperbolic-Valued Probability Distribution
Juan Bory-Reyes, Edil D. Molina-Fernandez, José M. Sigarreta-Almira
In the context of hyperbolic numbers we define the concept of negation of finite hyperbolicvalued probability distributions that is based on the partial order induced by the idempo…
Intrinsic {Right} -Radial Vector Derivatives and Localized Fischer Decompositions on Radial Algebras
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider +1
We define intrinsic right \(q\)-radial vector derivatives on radial algebras of abstract vector variables. For a finite parameter set \(Y\), a scalar Jackson calculus on \(x^2\) an…
Some global operators and the material derivative
J. O. González-Cervantes, D. González-Campos, J. Bory-Reyes
The theory of the operator is deeply associated with th…