Bicomplex Numbers and their Elementary Functions
From MaRDI portal
Publication:2915809
DOI10.4067/S0719-06462012000200004zbMath1253.30070OpenAlexW2168834368MaRDI QIDQ2915809
Daniele C. Struppa, Maria Elena Luna-Elizarrarás, Michael V. Shapiro, Adrian Vajiac
Publication date: 18 September 2012
Published in: Cubo (Temuco) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4067/s0719-06462012000200004
Related Items (37)
Topological bicomplex modules ⋮ Kolmogorov's axioms for probabilities with values in hyperbolic numbers ⋮ Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras ⋮ On bicomplex third-order Jacobsthal numbers ⋮ On the bicomplex Gleason-Kahane-Żelazko theorem ⋮ Holographic coordinates ⋮ Biquaternion extensions of analytic functions ⋮ Complex Laplacian and derivatives of bicomplex functions ⋮ On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers ⋮ Unnamed Item ⋮ On the new bicomplex generalization of Hurwitz-Lerch zeta function with properties and applications ⋮ Unnamed Item ⋮ Maximal ideals in a bicomplex algebra and bicomplex Gelfand–Mazur theorem ⋮ Riemann–Liouville fractional operators of bicomplex order and its properties ⋮ Bicomplex \(k\)-Pell quaternions ⋮ Bicomplex modules with indefinite inner product ⋮ Bicomplex hypergeometric function and its properties ⋮ Bicomplex weighted Bergman spaces and composition operators ⋮ A NOTE ON THE ORDER AND TYPE OF BICOMPLEX VALUED ENTIRE FUNCTIONS ⋮ Some fundamental theorems of functional analysis with bicomplex and hyperbolic scalars ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalization of the Gauss--Lucas theorem for bicomplex polynomials ⋮ Bernstein-type Inequalities for Bicomplex Polynomials ⋮ Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood's subordination theorem ⋮ Unnamed Item ⋮ Eigen-decomposition of quaternions ⋮ Unnamed Item ⋮ Approximation by bicomplex beta operators in compact ‐disks ⋮ Total differentiability and monogenicity for functions in algebras of order 4 ⋮ Unnamed Item ⋮ Fractional elementary bicomplex functions in the Riemann-Liouville sense ⋮ Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers ⋮ A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem ⋮ Solving system of linear equations via bicomplex valued metric space ⋮ Multicomplex solitons ⋮ Bicomplex holomorphic functional calculus
This page was built for publication: Bicomplex Numbers and their Elementary Functions