참고문헌
- D. Alpay, M.E. Luna-Elizarraras, M. Shapiro and D.C. Struppa, Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis, Springer International Publishing, (2014).
- A.S. Balankin, J. Bory-Reyes, M.E. Luna-Elizarraras and M. Shapiro, Cantor-type sets in hyperbolic numbers, Fractals, 24 (04) (2016).
- J. Bory-Reyes, C.O. Perez-Regalado and M. Shapiro, Cauchy type integral in bicomplex setting and its properties, Complex Anal. Oper. Theory, 13 (6) (2019), 2541-2573. https://doi.org/10.1007/s11785-019-00918-x
- J. Cockle, On certain functions resembling quaternions and on a new imaginary in algebra, Lond-Dublin-Edinb. Philos. Mag., 3 (33) (1848), 435-439. https://doi.org/10.1080/14786444808646139
- J.B. Conway, Functions of One Complex Variable I, Second Edition, Graduate Texts in Mathematics, Springer-Verlag, New York-Berlin, (1978).
- C.M. Davenport, R. Ablamowicz, J.M. Parra, M. Josep and P. Lounesto, A Commutative Hypercomplex Algebra with Associated Function Theory, Clifford Algebras with Numeric and Symbolic Computations, Birkhauser, Boston, (1996), 213-227.
- C. Ghosh, A. Bandyopadhyay and S. Mondal, Hyperbolic Valued Metric Space, ArXiv [math.CV] (2021), arXiv:2108.07100.
- C. Ghosh, S. Biswas and T. Yasin, Hyperbolic valued signed measures, Int. J. Math. Trends Technol., 55 (7) (2018), 515-522. https://doi.org/10.14445/22315373/IJMTT-V55P567
- W.R. Hamilton, On a new species of imaginary quantities connected with a theory of quaternions, Proc. R. Ir. Acad., 2 (1844), 424-434.
- M.E. Luna-Elizarraras, Integration of Functions of a Hyperbolic Variable, Complex Anal. Oper. Theory, 16, 35 (2022). https://doi.org/10.1007/s11785-022-01197-9.
- M.E. Luna-Elizarraras, M. Shapiro, D.C. Struppa and A. Vajiac, Bicomplex holomorphic functions: The algebra, geometry and analysis of bicomplex numbers, Frontiers in Mathematics, Birkhauser Basel, (2015).
- G.B. Price, An Introduction to Multicomplex Spaces and Functions, Marcel Dekker Inc., New York, (1991).
- H. Saini, A. Sharma, R. Kumar, Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars, Adv. Appl. Clifford Algebras, 30 (66) (2020), 01-23. https://doi.org/10.1007/s00006-019-1027-3
- C. Segre, Le rappresentazioni reali delle forme complessee Gli Enti Iperalgebrici, Math. Ann., 40 (1892), 413-467. https://doi.org/10.1007/BF01443559
- G. Sobczyk, The hyperbolic number plane, Coll. Maths. Jour., 26 (4) (1995), 268-280. https://doi.org/10.1080/07468342.1995.11973712
- G.Y. Tellez-Sanchez and J.B Rayes, Hyperbolic Functions of Bounded Variations and Riemann-Stieltjes Integral involving strong partitions of Hyperbolic Intervals, arXiv:2111.14019v1[math.CV], 1-12.