[图书][B] Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis

D Alpay, ME Luna-Elizarrarás, M Shapiro, DC Struppa - 2014 - books.google.com
This book provides the foundations for a rigorous theory of functional analysis with
bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and …

Fixed point in bicomplex valued metric spaces

I Beg, SK Datta, D Pal - International Journal of Nonlinear …, 2021 - ijnaa.semnan.ac.ir
Fixed point in bicomplex valued metric spaces Page 1 Int. J. Nonlinear Anal. Appl. 12 (2021) No.
2, 717-727 ISSN: 2008-6822 (electronic) http://dx.doi.org/10.22075/ijnaa.2019.19003.2049 …

Some fixed point theorems in connection with two weakly compatible mappings in bicomplex valued metric spaces

J Choi, SK Datta, T Biswas, MN Islam - Honam Mathematical …, 2017 - koreascience.kr
SOME FIXED POINT THEOREMS IN CONNECTION WITH TWO WEAKLY COMPATIBLE
MAPPINGS IN BICOMPLEX VALUED METRIC SPACES Junesang Choi , Sa Page 1 Honam …

Bicomplex fibonacci quaternions

FT Aydın - Chaos, Solitons & Fractals, 2018 - Elsevier
In this paper, bicomplex Fibonacci quaternions are defined. Also, some algebraic properties
of bicomplex Fibonacci quaternions which are connected with bicomplex numbers and …

ISORROPIA‐MCX: Enabling Sensitivity Analysis With Multicomplex Variables in the Aerosol Thermodynamic Model, ISORROPIA

B Berman, SL Capps, I Sauvageau… - Earth and Space …, 2023 - Wiley Online Library
Sensitivity analysis with atmospheric chemical transport models may be used to quantify
influences of specific emissions on pollutant concentrations. This information facilitates …

Topological bicomplex modules

R Kumar, H Saini - Advances in applied Clifford algebras, 2016 - Springer
In this paper, we develop topological modules over the ring of bicomplex numbers. We
discuss bicomplex convexity, hyperbolic-valued seminorms and hyperbolic-valued …

Fractional elementary bicomplex functions in the Riemann–Liouville sense

N Coloma, A Di Teodoro, D Ochoa-Tocachi… - Advances in Applied …, 2021 - Springer
In this paper, we present the development of fractional bicomplex calculus in the Riemann–
Liouville sense, based on the modification of the Cauchy–Riemann operator using the one …

Bicomplex Mittag-Leffler function and properties

R Agarwal, UP Sharma, RP Agarwal - arXiv preprint arXiv:2103.10324, 2021 - arxiv.org
With the increasing importance of the Mittag-Leffler function in the physical applications,
these days many researchers are studying various generalizations and extensions of the …

On bicomplex Fibonacci numbers and their generalization

S Halici - Models and Theories in Social Systems, 2019 - Springer
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 k-Pell Quaternions

P Catarino - Computational Methods and Function Theory, 2019 - Springer
The aim of this work is to consider the bicomplex k-Pell quaternions and to present some
properties involving this sequence, including the Binet-style formulae and the generating …