Nasiruzzaman, Md.; Mursaleen, M. The multicomplex numbers and their properties on some elementary functions. (English) Zbl 07714844 Thai J. Math. 21, No. 1, 77-100 (2023). MSC: 30-XX 41A10 41A25 41A36 PDF BibTeX XML Cite \textit{Md. Nasiruzzaman} and \textit{M. Mursaleen}, Thai J. Math. 21, No. 1, 77--100 (2023; Zbl 07714844) Full Text: Link
Meena, Rekha; Bhabor, Ajit Kumar Bicomplex hypergeometric function and its properties. (English) Zbl 1520.30071 Integral Transforms Spec. Funct. 34, No. 6, 478-494 (2023). MSC: 30G35 PDF BibTeX XML Cite \textit{R. Meena} and \textit{A. K. Bhabor}, Integral Transforms Spec. Funct. 34, No. 6, 478--494 (2023; Zbl 1520.30071) Full Text: DOI
Köplinger, Jens Phenomenology from Dirac equation with Euclidean-Minkowskian “gravity phase”. (English) Zbl 07702241 Int. J. Theor. Phys. 62, No. 2, Paper No. 35, 23 p. (2023). MSC: 81R25 81R20 83F05 83C45 51M05 51B20 81U05 85A15 PDF BibTeX XML Cite \textit{J. Köplinger}, Int. J. Theor. Phys. 62, No. 2, Paper No. 35, 23 p. (2023; Zbl 07702241) Full Text: DOI arXiv
Cerda-Morales, Gamaliel On bicomplex third-order Jacobsthal numbers. (English) Zbl 1510.11039 Complex Var. Elliptic Equ. 68, No. 1, 44-56 (2023). MSC: 11B39 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Complex Var. Elliptic Equ. 68, No. 1, 44--56 (2023; Zbl 1510.11039) Full Text: DOI
Goswami, Mahesh Puri; Kumar, Raj Riemann-Liouville fractional operators of bicomplex order and its properties. (English) Zbl 07766875 Math. Methods Appl. Sci. 45, No. 10, 5699-5720 (2022). MSC: 30G35 PDF BibTeX XML Cite \textit{M. P. Goswami} and \textit{R. Kumar}, Math. Methods Appl. Sci. 45, No. 10, 5699--5720 (2022; Zbl 07766875) Full Text: DOI
Chen, Litao; Dai, Binlin The fixed points and cross-ratios of hyperbolic Möbius transformations in bicomplex space. (English) Zbl 1502.30138 Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 48, 23 p. (2022). MSC: 30G35 PDF BibTeX XML Cite \textit{L. Chen} and \textit{B. Dai}, Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 48, 23 p. (2022; Zbl 1502.30138) Full Text: DOI
Kuloğlu, Bahar; Özkan, Engin On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers. (English) Zbl 1503.11037 Acta Comment. Univ. Tartu. Math. 26, No. 1, 33-43 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{B. Kuloğlu} and \textit{E. Özkan}, Acta Comment. Univ. Tartu. Math. 26, No. 1, 33--43 (2022; Zbl 1503.11037) Full Text: DOI
Köme, Cahit; Köme, Sure; Catarino, Paula Quantum calculus approach to the dual bicomplex Fibonacci and Lucas numbers. (English) Zbl 1513.11048 J. Math. Ext. 16, No. 2, Paper No. 7, 17 p. (2022). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{C. Köme} et al., J. Math. Ext. 16, No. 2, Paper No. 7, 17 p. (2022; Zbl 1513.11048) Full Text: DOI
Abdalla, Mohamed; Mostefaoui, Zahia; He, Fuli Some fixed point results in ordered bicomplex-valued metric spaces. (English) Zbl 07476955 Riv. Mat. Univ. Parma (N.S.) 12, No. 2, 201-219 (2021). MSC: 47H10 54D99 54E99 PDF BibTeX XML Cite \textit{M. Abdalla} et al., Riv. Mat. Univ. Parma (N.S.) 12, No. 2, 201--219 (2021; Zbl 07476955) Full Text: Link
Aksoyak, Ferdağ Kahraman; Karakus, Siddika Ozkaldi Homothetic motions via generalized bicomplex numbers. (English) Zbl 1488.30240 Facta Univ., Ser. Math. Inf. 36, No. 2, 275-291 (2021). MSC: 30G35 53A17 53B50 PDF BibTeX XML Cite \textit{F. K. Aksoyak} and \textit{S. O. Karakus}, Facta Univ., Ser. Math. Inf. 36, No. 2, 275--291 (2021; Zbl 1488.30240) Full Text: DOI
Coloma, Nicolás; Di Teodoro, Antonio; Ochoa-Tocachi, Diego; Ponce, Francisco Fractional elementary bicomplex functions in the Riemann-Liouville sense. (English) Zbl 1480.30036 Adv. Appl. Clifford Algebr. 31, No. 4, Paper No. 63, 29 p. (2021). Reviewer: Peter Massopust (München) MSC: 30G35 PDF BibTeX XML Cite \textit{N. Coloma} et al., Adv. Appl. Clifford Algebr. 31, No. 4, Paper No. 63, 29 p. (2021; Zbl 1480.30036) Full Text: DOI
Sabadini, I.; Struppa, D. C. Total differentiability and monogenicity for functions in algebras of order 4. (English) Zbl 1509.30038 Complex Anal. Oper. Theory 15, No. 2, Paper No. 26, 23 p. (2021). Reviewer: Pan Lian (Tianjin) MSC: 30G35 PDF BibTeX XML Cite \textit{I. Sabadini} and \textit{D. C. Struppa}, Complex Anal. Oper. Theory 15, No. 2, Paper No. 26, 23 p. (2021; Zbl 1509.30038) Full Text: DOI
Khmelnytskaya, K. V.; Kravchenko, V. V.; Torba, S. M. Time-dependent one-dimensional electromagnetic wave propagation in inhomogeneous media: exact solution in terms of transmutations and Neumann series of Bessel functions. (English) Zbl 1450.78003 Lobachevskii J. Math. 41, No. 5, 785-796 (2020). MSC: 78A25 78A40 33C10 30G20 37K35 35Q60 PDF BibTeX XML Cite \textit{K. V. Khmelnytskaya} et al., Lobachevskii J. Math. 41, No. 5, 785--796 (2020; Zbl 1450.78003) Full Text: DOI arXiv
Ulrych, S. Lie sphere geometry in nuclear scattering processes. (English) Zbl 1450.81056 J. Math. Anal. Appl. 491, No. 2, Article ID 124324, 10 p. (2020). MSC: 81T35 81R25 15A66 81V35 53A31 83C60 PDF BibTeX XML Cite \textit{S. Ulrych}, J. Math. Anal. Appl. 491, No. 2, Article ID 124324, 10 p. (2020; Zbl 1450.81056) Full Text: DOI arXiv
Luna-Elizarrarás, Maria Elena; Panza, Marco; Shapiro, Michael; Struppa, Daniele Carlo Geometry and identity theorems for bicomplex functions and functions of a hyperbolic variable. (English) Zbl 1442.30054 Milan J. Math. 88, No. 1, 247-261 (2020). MSC: 30G35 PDF BibTeX XML Cite \textit{M. E. Luna-Elizarrarás} et al., Milan J. Math. 88, No. 1, 247--261 (2020; Zbl 1442.30054) Full Text: DOI HAL
Luna-Elizarrarás, M. Elena; Shapiro, Michael; Balankin, Alexander Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers. (English) Zbl 1445.30025 Anal. Math. Phys. 10, No. 1, Paper No. 13, 30 p. (2020). Reviewer: Amedeo Altavilla (Ancona) MSC: 30G35 28A80 PDF BibTeX XML Cite \textit{M. E. Luna-Elizarrarás} et al., Anal. Math. Phys. 10, No. 1, Paper No. 13, 30 p. (2020; Zbl 1445.30025) Full Text: DOI
Şener, İbrahim Almost bicomplex structures. (English) Zbl 1467.30033 Trans. A. Razmadze Math. Inst. 173, No. 3, 131-136 (2019). MSC: 30G35 PDF BibTeX XML Cite \textit{İ. Şener}, Trans. A. Razmadze Math. Inst. 173, No. 3, 131--136 (2019; Zbl 1467.30033) Full Text: Link
Yazlik, Yasin; Köme, Sure; Köme, Cahit Bicomplex generalized \(k\)-Horadam quaternions. (English) Zbl 1449.11037 Miskolc Math. Notes 20, No. 2, 1315-1330 (2019). MSC: 11B39 05A15 PDF BibTeX XML Cite \textit{Y. Yazlik} et al., Miskolc Math. Notes 20, No. 2, 1315--1330 (2019; Zbl 1449.11037) Full Text: DOI
Ghanmi, Allal; Zine, Khalil Bicomplex analogs of Segal-Bargmann and fractional Fourier transforms. (English) Zbl 1427.30076 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 74, 20 p. (2019). MSC: 30G35 PDF BibTeX XML Cite \textit{A. Ghanmi} and \textit{K. Zine}, Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 74, 20 p. (2019; Zbl 1427.30076) Full Text: DOI arXiv
Banerjee, A.; Deb, R. Bicomplex modules with indefinite inner product. (English) Zbl 1418.30043 Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 55, 25 p. (2019). MSC: 30G35 PDF BibTeX XML Cite \textit{A. Banerjee} and \textit{R. Deb}, Adv. Appl. Clifford Algebr. 29, No. 3, Paper No. 55, 25 p. (2019; Zbl 1418.30043) Full Text: DOI
Catarino, Paula Bicomplex \(k\)-Pell quaternions. (English) Zbl 1465.11055 Comput. Methods Funct. Theory 19, No. 1, 65-76 (2019). MSC: 11B39 PDF BibTeX XML Cite \textit{P. Catarino}, Comput. Methods Funct. Theory 19, No. 1, 65--76 (2019; Zbl 1465.11055) Full Text: DOI
Liana, Mirosław; Szynal-Liana, Anetta; Włoch, Iwona On \(F(p,n)\)-Fibonacci bicomplex numbers. (English) Zbl 1513.11049 Sci. Issues, Jan Długosz Univ. Częst., Math. 23, 35-44 (2018). MSC: 11B39 PDF BibTeX XML Cite \textit{M. Liana} et al., Sci. Issues, Jan Długosz Univ. Częst., Math. 23, 35--44 (2018; Zbl 1513.11049) Full Text: DOI
Mishra, Lakshmi Narayan; Singh, Sukhdev; Mishra, Vishnu Narayan On integrated and differentiated \(\mathbb{C}_2\)-sequence spaces. (English) Zbl 1415.46008 Int. J. Anal. Appl. 16, No. 6, 894-903 (2018). MSC: 46A45 PDF BibTeX XML Cite \textit{L. N. Mishra} et al., Int. J. Anal. Appl. 16, No. 6, 894--903 (2018; Zbl 1415.46008) Full Text: Link
Cerejeiras, Paula; Fu, Yingxiong; Gomes, Narciso Bicomplex signals with sparsity constraints. (English) Zbl 1401.30057 Math. Methods Appl. Sci. 41, No. 13, 5140-5158 (2018). MSC: 30G35 PDF BibTeX XML Cite \textit{P. Cerejeiras} et al., Math. Methods Appl. Sci. 41, No. 13, 5140--5158 (2018; Zbl 1401.30057) Full Text: DOI Link
Aydın, F. Torunbalcı Corrigendum to “Bicomplex Fibonacci quaternions”. (English) Zbl 1392.11011 Chaos Solitons Fractals 111, 235-238 (2018). MSC: 11B39 PDF BibTeX XML Cite \textit{F. T. Aydın}, Chaos Solitons Fractals 111, 235--238 (2018; Zbl 1392.11011) Full Text: DOI
Aydın, F. Torunbalcı Bicomplex Fibonacci quaternions. (English) Zbl 1392.11010 Chaos Solitons Fractals 106, 147-153 (2018); corrigendum ibid. 111, 235-238 (2018). MSC: 11B39 PDF BibTeX XML Cite \textit{F. T. Aydın}, Chaos Solitons Fractals 106, 147--153 (2018; Zbl 1392.11010) Full Text: DOI arXiv
Ulrych, S. Holographic coordinates. (English) Zbl 1393.53015 J. Math. Anal. Appl. 465, No. 2, 1056-1074 (2018). MSC: 53A35 53A20 53Z05 83D05 PDF BibTeX XML Cite \textit{S. Ulrych}, J. Math. Anal. Appl. 465, No. 2, 1056--1074 (2018; Zbl 1393.53015) Full Text: DOI arXiv
Agarwal, Ritu; Goswami, Mahesh Puri; Agarwal, Ravi P. A study of Mellin transform of fractional operators in bicomplex space and applications. (English) Zbl 1488.30239 J. Fract. Calc. Appl. 8, No. 2, 211-226 (2017). MSC: 30G35 42B10 PDF BibTeX XML Cite \textit{R. Agarwal} et al., J. Fract. Calc. Appl. 8, No. 2, 211--226 (2017; Zbl 1488.30239) Full Text: Link
Agarwal, Ritu; Goswami, Mahesh Puri; Agarwal, Ravi P. Sumudu transform in bicomplex space and its applications. (English) Zbl 1399.44005 Ann. Appl. Math. 33, No. 3, 239-253 (2017). MSC: 44A20 PDF BibTeX XML Cite \textit{R. Agarwal} et al., Ann. Appl. Math. 33, No. 3, 239--253 (2017; Zbl 1399.44005)
Sabadini, I.; Vajiac, A.; Vajiac, M. B. Bernstein-type inequalities for bicomplex polynomials. (English) Zbl 1388.30078 Colombo, Fabrizio (ed.) et al., Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay’s 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer (ISBN 978-3-319-62361-0/hbk; 978-3-319-62362-7/ebook). Trends in Mathematics, 281-299 (2017). MSC: 30G35 30C10 PDF BibTeX XML Cite \textit{I. Sabadini} et al., in: Advances in complex analysis and operator theory. Festschrift in honor of Daniel Alpay's 60th birthday. Contributions partly based on the presentations at the international conference on complex analysis and operator theory, Chapman University, Orange, CA, USA, November 2016. Cham: Birkhäuser/Springer. 281--299 (2017; Zbl 1388.30078) Full Text: DOI
Agarwal, Ritu; Goswami, Mahesh Puri; Agarwal, Ravi P. Mellin transform in bicomplex space and its application. (English) Zbl 1399.30155 Stud. Univ. Babeș-Bolyai, Math. 62, No. 2, 217-232 (2017). MSC: 30G35 42B10 PDF BibTeX XML Cite \textit{R. Agarwal} et al., Stud. Univ. Babeș-Bolyai, Math. 62, No. 2, 217--232 (2017; Zbl 1399.30155) Full Text: DOI
Kang, Han Ul; Kim, Min Ji; Shon, Kwang Ho Differentials of the bicomplex functions for each conjugations by the naive approach. (English) Zbl 1378.30022 Honam Math. J. 39, No. 2, 307-315 (2017). MSC: 30G35 PDF BibTeX XML Cite \textit{H. U. Kang} et al., Honam Math. J. 39, No. 2, 307--315 (2017; Zbl 1378.30022) Full Text: DOI
Choi, Junesang; Datta, Sanjib Kumar; Biswas, Tanmay; Islam, Md. Nazimul Some fixed point theorems in connection with two weakly compatible mappings in bicomplex valued metric spaces. (English) Zbl 1376.30035 Honam Math. J. 39, No. 1, 115-126 (2017). MSC: 30G35 30L99 PDF BibTeX XML Cite \textit{J. Choi} et al., Honam Math. J. 39, No. 1, 115--126 (2017; Zbl 1376.30035) Full Text: DOI
Cerroni, Cinzia From the theory of “congeneric surd equations” to “Segre’s bicomplex numbers”. (English) Zbl 1425.01033 Hist. Math. 44, No. 3, 232-251 (2017). MSC: 01A55 08-03 51-03 PDF BibTeX XML Cite \textit{C. Cerroni}, Hist. Math. 44, No. 3, 232--251 (2017; Zbl 1425.01033) Full Text: DOI arXiv
Ulrych, S. Conformal numbers. (English) Zbl 1369.30066 Adv. Appl. Clifford Algebr. 27, No. 2, 1895-1906 (2017). MSC: 30G35 15A66 PDF BibTeX XML Cite \textit{S. Ulrych}, Adv. Appl. Clifford Algebr. 27, No. 2, 1895--1906 (2017; Zbl 1369.30066) Full Text: DOI arXiv
Kang, Han Ul; Jung, Sangsu; Shon, Kwang Ho Regular functions for different kinds of conjugations in the bicomplex number field. (English) Zbl 1376.30037 East Asian Math. J. 32, No. 5, 641-649 (2016). MSC: 30G35 PDF BibTeX XML Cite \textit{H. U. Kang} et al., East Asian Math. J. 32, No. 5, 641--649 (2016; Zbl 1376.30037) Full Text: DOI
Kumar, Romesh; Saini, Heera Topological bicomplex modules. (English) Zbl 1369.30060 Adv. Appl. Clifford Algebr. 26, No. 4, 1249-1270 (2016). MSC: 30G35 46A99 PDF BibTeX XML Cite \textit{R. Kumar} and \textit{H. Saini}, Adv. Appl. Clifford Algebr. 26, No. 4, 1249--1270 (2016; Zbl 1369.30060) Full Text: DOI arXiv
Mursaleen, M.; Nasiruzzaman, Md.; Srivastava, H. M. Approximation by bicomplex beta operators in compact \(\mathbb{BC}\)-disks. (English) Zbl 1344.30046 Math. Methods Appl. Sci. 39, No. 11, 2916-2929 (2016). MSC: 30G35 41A25 PDF BibTeX XML Cite \textit{M. Mursaleen} et al., Math. Methods Appl. Sci. 39, No. 11, 2916--2929 (2016; Zbl 1344.30046) Full Text: DOI
Kim, Ji Eun; Shon, Kwang Ho Properties of regular functions with values in bicomplex numbers. (English) Zbl 1343.30041 Bull. Korean Math. Soc. 53, No. 2, 507-518 (2016). MSC: 30G35 PDF BibTeX XML Cite \textit{J. E. Kim} and \textit{K. H. Shon}, Bull. Korean Math. Soc. 53, No. 2, 507--518 (2016; Zbl 1343.30041) Full Text: DOI Link
Kumar, Romesh; Singh, Kulbir; Saini, Heera; Kumar, Sanjay Bicomplex weighted Hardy spaces and bicomplex \(C^*\)-algebras. (English) Zbl 1337.30059 Adv. Appl. Clifford Algebr. 26, No. 1, 217-235 (2016). MSC: 30G35 30H10 46L05 PDF BibTeX XML Cite \textit{R. Kumar} et al., Adv. Appl. Clifford Algebr. 26, No. 1, 217--235 (2016; Zbl 1337.30059) Full Text: DOI arXiv
Md. Nasiruzzaman; Khan, M. Arsalan Some results of matrix norm on bicomplex modules. (English) Zbl 1513.16003 Aligarh Bull. Math. 34, No. 1-2, 37-61 (2015). MSC: 16D10 30G35 46C05 PDF BibTeX XML Cite \textit{Md. Nasiruzzaman} and \textit{M. A. Khan}, Aligarh Bull. Math. 34, No. 1--2, 37--61 (2015; Zbl 1513.16003)
Bekar, Murat; Yayli, Yusuf Biquaternions Lie algebra and complex-projective spaces. (English) Zbl 1425.30040 Casp. J. Math. Sci. 4, No. 2, 227-240 (2015). MSC: 30G35 32M05 PDF BibTeX XML Cite \textit{M. Bekar} and \textit{Y. Yayli}, Casp. J. Math. Sci. 4, No. 2, 227--240 (2015; Zbl 1425.30040) Full Text: Link
Karakuş, Sıddıka Özkaldı; Aksoyak, Ferdag Kahraman Generalized bicomplex numbers and Lie groups. (English) Zbl 1325.30047 Adv. Appl. Clifford Algebr. 25, No. 4, 943-963 (2015). MSC: 30G35 PDF BibTeX XML Cite \textit{S. Ö. Karakuş} and \textit{F. K. Aksoyak}, Adv. Appl. Clifford Algebr. 25, No. 4, 943--963 (2015; Zbl 1325.30047) Full Text: DOI arXiv
Luna-Elizarrarás, M. Elena; Shapiro, Michael; Struppa, Daniele C.; Vajiac, Adrian Bicomplex holomorphic functions. The algebra, geometry and analysis of bicomplex numbers. (English) Zbl 1345.30002 Frontiers in Mathematics. Cham: Birkhäuser/Springer (ISBN 978-3-319-24866-0/pbk; 978-3-319-24868-4/ebook). viii, 231 p. (2015). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30-02 30G35 PDF BibTeX XML Cite \textit{M. E. Luna-Elizarrarás} et al., Bicomplex holomorphic functions. The algebra, geometry and analysis of bicomplex numbers. Cham: Birkhäuser/Springer (2015; Zbl 1345.30002) Full Text: DOI Backlinks: MO
Kumar, Romesh; Singh, Kulbir Bicomplex linear operators on bicomplex Hilbert spaces and Littlewood’s subordination theorem. (English) Zbl 1337.47032 Adv. Appl. Clifford Algebr. 25, No. 3, 591-610 (2015). Reviewer: Linda R. Sons (DeKalb) MSC: 47B15 30G35 PDF BibTeX XML Cite \textit{R. Kumar} and \textit{K. Singh}, Adv. Appl. Clifford Algebr. 25, No. 3, 591--610 (2015; Zbl 1337.47032) Full Text: DOI arXiv
Chen, Lin; Ren, Guangbin; Wang, Haiyan Bicomplex Hermitian Clifford analysis. (English) Zbl 1319.30040 Front. Math. China 10, No. 3, 523-546 (2015). MSC: 30G35 PDF BibTeX XML Cite \textit{L. Chen} et al., Front. Math. China 10, No. 3, 523--546 (2015; Zbl 1319.30040) Full Text: DOI
Agarwal, Ritu; Goswami, Mahesh Puri; Agarwal, Ravi P. Tauberian theorem and applications of bicomplex Laplace-Stieltjes transform. (English) Zbl 1317.30073 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 22, No. 2, 141-153 (2015). MSC: 30G35 42B10 PDF BibTeX XML Cite \textit{R. Agarwal} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 22, No. 2, 141--153 (2015; Zbl 1317.30073) Full Text: Link Link
Agarwal, Ritu; Goswami, Mahesh Puri; Agarwal, Ravi P. Convolution theorem and applications of bicomplex Laplace transform. (English) Zbl 1318.30074 Adv. Math. Sci. Appl. 24, No. 1, 113-127 (2014). MSC: 30G35 44A10 PDF BibTeX XML Cite \textit{R. Agarwal} et al., Adv. Math. Sci. Appl. 24, No. 1, 113--127 (2014; Zbl 1318.30074)
Schmeikal, Bernd Tessarines, nectarines and other fourfolds. Proof of an observation by Gerhard Opfer. (Tessarinen, Nektarinen und andere Vierheiten. Beweis einer Beobachtung von Gerhard Opfer.) (English) Zbl 1310.15038 Mitt. Math. Ges. Hamb. 34, 81-108 (2014). MSC: 15A66 11E88 11R52 PDF BibTeX XML Cite \textit{B. Schmeikal}, Mitt. Math. Ges. Hamb. 34, 81--108 (2014; Zbl 1310.15038)
Charak, K. S.; Sharma, N. Bicomplex analogue of Zalcman lemma. (English) Zbl 1285.30028 Complex Anal. Oper. Theory 8, No. 2, 449-459 (2014). MSC: 30G35 PDF BibTeX XML Cite \textit{K. S. Charak} and \textit{N. Sharma}, Complex Anal. Oper. Theory 8, No. 2, 449--459 (2014; Zbl 1285.30028) Full Text: DOI
Alpay, Daniel; Luna-Elizarrarás, Maria Elena; Shapiro, Michael; Struppa, Daniele C. Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis. (English) Zbl 1319.46001 SpringerBriefs in Mathematics. Cham: Springer (ISBN 978-3-319-05109-3/pbk; 978-3-319-05110-9/ebook). xv, 95 p. (2014). Reviewer: Sirkka-Liisa Eriksson (Tampere) MSC: 46-02 30G35 PDF BibTeX XML Cite \textit{D. Alpay} et al., Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis. Cham: Springer (2014; Zbl 1319.46001) Full Text: DOI arXiv
Apostolova, Lilia Hyperbolic bicomplex variables. (English) Zbl 1301.30046 Kiryakova, Virginia (ed.), Complex analysis and applications ’13. Proceedings of the international conference, CAA ’13, Sofia, Bulgaria, October 31 – November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics (ISBN 978-954-8986-38-0). 33-54 (2013). MSC: 30G35 PDF BibTeX XML Cite \textit{L. Apostolova}, in: Complex analysis and applications '13. Proceedings of the international conference, CAA '13, Sofia, Bulgaria, October 31 -- November 2, 2013. Dedicated to the 100th anniversary of Academician Ljubomir Iliev. Sofia: Bulgarian Academy od Sciences, Institute of Mathematics and Informatics. 33--54 (2013; Zbl 1301.30046) Full Text: Link
Apostolova, Lilia N. Square roots of bicomplex numbers. (English) Zbl 1300.30087 Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 3, 77-86 (2013). MSC: 30G35 PDF BibTeX XML Cite \textit{L. N. Apostolova}, Bull. Soc. Sci. Lett. Łódź, Sér. Rech. Déform. 63, No. 3, 77--86 (2013; Zbl 1300.30087)
Kubarski, Jan Topology of the cyclic Čech-Hochschild bicomplex. (English) Zbl 1336.58004 Math. Appl., Brno 2, No. 1, 21-34 (2013). Reviewer: Vida Milani (North Logan) MSC: 58B34 16E40 55U15 57R20 PDF BibTeX XML Cite \textit{J. Kubarski}, Math. Appl., Brno 2, No. 1, 21--34 (2013; Zbl 1336.58004) Full Text: DOI
Charak, Kuldeep Singh; Kumar, Ravinder; Rochon, Dominic Infinite dimensional bicomplex spectral decomposition theorem. (English) Zbl 1471.47011 Adv. Appl. Clifford Algebr. 23, No. 3, 593-605 (2013). MSC: 47B02 46C50 30G35 PDF BibTeX XML Cite \textit{K. S. Charak} et al., Adv. Appl. Clifford Algebr. 23, No. 3, 593--605 (2013; Zbl 1471.47011) Full Text: DOI arXiv
Campos, Hugo M.; Kravchenko, Vladislav V. Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients. (English) Zbl 1323.30067 Complex Anal. Oper. Theory 7, No. 2, 485-518 (2013). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 PDF BibTeX XML Cite \textit{H. M. Campos} and \textit{V. V. Kravchenko}, Complex Anal. Oper. Theory 7, No. 2, 485--518 (2013; Zbl 1323.30067) Full Text: DOI arXiv
Vajiac, A.; Vajiac, M. B. Multicomplex hyperfunctions. (English) Zbl 1251.30058 Complex Var. Elliptic Equ. 57, No. 7-8, 751-762 (2012). MSC: 30G35 35C15 13P10 35N05 PDF BibTeX XML Cite \textit{A. Vajiac} and \textit{M. B. Vajiac}, Complex Var. Elliptic Equ. 57, No. 7--8, 751--762 (2012; Zbl 1251.30058) Full Text: DOI
Luna-Elizarrarás, M. E.; Shapiro, M.; Struppa, D. C.; Vajiac, A. Bicomplex numbers and their elementary functions. (English) Zbl 1253.30070 Cubo 14, No. 2, 61-80 (2012). MSC: 30G35 PDF BibTeX XML Cite \textit{M. E. Luna-Elizarrarás} et al., Cubo 14, No. 2, 61--80 (2012; Zbl 1253.30070) Full Text: DOI
De Bie, H.; Struppa, D. C.; Vajiac, A.; Vajiac, M. B. The Cauchy-Kowalewski product for bicomplex holomorphic functions. (English) Zbl 1258.30023 Math. Nachr. 285, No. 10, 1230-1242 (2012). Reviewer: Michael Reissig (Freiberg) MSC: 30G35 35A10 PDF BibTeX XML Cite \textit{H. De Bie} et al., Math. Nachr. 285, No. 10, 1230--1242 (2012; Zbl 1258.30023) Full Text: DOI
Charak, Kuldeep Singh; Rochon, Dominic; Sharma, Narinder Normal families of bicomplex meromorphic functions. (English) Zbl 1253.30058 Ann. Pol. Math. 103, No. 3, 303-317 (2012). MSC: 30G35 30D30 30D45 32A30 PDF BibTeX XML Cite \textit{K. S. Charak} et al., Ann. Pol. Math. 103, No. 3, 303--317 (2012; Zbl 1253.30058) Full Text: DOI arXiv
Gervais Lavoie, Raphaël; Marchildon, Louis; Rochon, Dominic Finite-dimensional bicomplex Hilbert spaces. (English) Zbl 1237.46009 Adv. Appl. Clifford Algebr. 21, No. 3, 561-581 (2011). MSC: 46C50 46C05 16D10 30G35 PDF BibTeX XML Cite \textit{R. Gervais Lavoie} et al., Adv. Appl. Clifford Algebr. 21, No. 3, 561--581 (2011; Zbl 1237.46009) Full Text: DOI arXiv
Kabadayi, Hesna; Yayli, Yusuf Homothetic motions at \(E^{4}\) with bicomplex numbers. (English) Zbl 1225.22018 Adv. Appl. Clifford Algebr. 21, No. 3, 541-546 (2011). MSC: 22E70 53A17 PDF BibTeX XML Cite \textit{H. Kabadayi} and \textit{Y. Yayli}, Adv. Appl. Clifford Algebr. 21, No. 3, 541--546 (2011; Zbl 1225.22018) Full Text: DOI
Colombo, F.; Sabadini, I.; Struppa, D. C.; Vajiac, A.; Vajiac, M. Bicomplex hyperfunctions. (English) Zbl 1226.30044 Ann. Mat. Pura Appl. (4) 190, No. 2, 247-261 (2011). Reviewer: Michael Shapiro (Mexico City) MSC: 30G35 46F15 35C15 13P10 35N05 PDF BibTeX XML Cite \textit{F. Colombo} et al., Ann. Mat. Pura Appl. (4) 190, No. 2, 247--261 (2011; Zbl 1226.30044) Full Text: DOI
Struppa, Daniele C.; Vajiac, Adrian; Vajiac, Mihaela B. Remarks on holomorphicity in three settings: complex, quaternionic, and bicomplex. (English) Zbl 1214.30045 Sabadini, Irene (ed.) et al., Hypercomplex analysis and applications. Selected papers presented at the session ‘Clifford and quaternionic analysis’ of the 7th ISAAC conference, London, UK, July 2009. Basel: Birkhäuser (ISBN 978-3-0346-0245-7/hbk). Trends in Mathematics, 261-274 (2011). MSC: 30G35 PDF BibTeX XML Cite \textit{D. C. Struppa} et al., in: Hypercomplex analysis and applications. Selected papers presented at the session `Clifford and quaternionic analysis' of the 7th ISAAC conference, London, UK, July 2009. Basel: Birkhäuser. 261--274 (2011; Zbl 1214.30045) Full Text: DOI
Berglez, P. On some classes of bicomplex pseudoanalytic functions. (English) Zbl 1266.30036 Ruzhansky, Michael (ed.) et al., Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13–18, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4313-16-2/hbk; 978-981-4313-17-9/ebook). 81-88 (2010). MSC: 30G20 PDF BibTeX XML Cite \textit{P. Berglez}, in: Progress in analysis and its applications. Proceedings of the 7th international ISAAC congress held at the Imperial College London, London, UK, July 13--18, 2009. Hackensack, NJ: World Scientific. 81--88 (2010; Zbl 1266.30036) Full Text: DOI
Srivastava, Rajiv K.; Singh, Jogendra A note on poles of the bicomplex Riemann zeta function. (English) Zbl 1227.32006 South East Asian J. Math. Math. Sci. 9, No. 1, 65-75 (2010). MSC: 32A30 30G35 11M26 PDF BibTeX XML Cite \textit{R. K. Srivastava} and \textit{J. Singh}, South East Asian J. Math. Math. Sci. 9, No. 1, 65--75 (2010; Zbl 1227.32006)
Gervais Lavoie, Raphaël; Marchildon, Louis; Rochon, Dominic Infinite-dimensional bicomplex Hilbert spaces. (English) Zbl 1216.46023 Ann. Funct. Anal. 1, No. 2, 75-91 (2010). MSC: 46C50 46C05 16D10 30G35 PDF BibTeX XML Cite \textit{R. Gervais Lavoie} et al., Ann. Funct. Anal. 1, No. 2, 75--91 (2010; Zbl 1216.46023) Full Text: DOI arXiv EuDML EMIS
Babadaǧ, Faik; Yayli, Yusuf; Ekmekci, Nejat Homothetic motions and bicomplex numbers. (English) Zbl 1197.53010 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 58, No. 1, 23-28 (2009). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 53A17 53A35 PDF BibTeX XML Cite \textit{F. Babadaǧ} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 58, No. 1, 23--28 (2009; Zbl 1197.53010) Full Text: DOI
Charak, K. S.; Rochon, D.; Sharma, N. Normal families of bicomplex holomorphic functions. (English) Zbl 1230.30032 Fractals 17, No. 3, 257-268 (2009). MSC: 30G35 30D45 15A66 37F50 30D05 PDF BibTeX XML Cite \textit{K. S. Charak} et al., Fractals 17, No. 3, 257--268 (2009; Zbl 1230.30032) Full Text: DOI arXiv
Charak, K. S.; Rochon, D. On factorization of bicomplex meromorphic functions. (English) Zbl 1168.30024 Sabadini, Irene (ed.) et al., Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13–18, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9892-7/hbk; 978-3-7643-9893-4/e-book). Trends in Mathematics, 55-68 (2009). MSC: 30G35 30D30 PDF BibTeX XML Cite \textit{K. S. Charak} and \textit{D. Rochon}, in: Hypercomplex analysis. Selected papers of the 6th ISAAC conference, Ankara, Turkey, August 13--18, 2007. Basel: Birkhäuser. 55--68 (2009; Zbl 1168.30024) Full Text: DOI
Javtokas, Algirdas Towards a multicomplex Riemann zeta-function. (English) Zbl 1334.11065 Laurinčikas, Antanas (ed.) et al., Voronoï’s impact on modern science. Book 4, Volume 1. Proceedings of the 4th international conference on analytic number theory and spatial tessellations, Kyiv, Ukraine, September 22–28, 2008. Kyiv: Institute of Mathematics, NAS of Ukraine (ISBN 978-966-02-4891-5/pbk; 978-966-02-4890-8/set). 37-41 (2008). MSC: 11M06 11M32 PDF BibTeX XML Cite \textit{A. Javtokas}, in: Voronoï's impact on modern science. Book 4, Volume 1. Proceedings of the 4th international conference on analytic number theory and spatial tessellations, Kyiv, Ukraine, September 22--28, 2008. Kyiv: Institute of Mathematics, NAS of Ukraine. 37--41 (2008; Zbl 1334.11065)
Zireh, Ahmad A generalized Mandelbrot set of polynomials of type \(E_{d}\) for bicomplex numbers. (English) Zbl 1153.37385 Georgian Math. J. 15, No. 1, 189-194 (2008). MSC: 37F45 30D05 30C10 37F10 PDF BibTeX XML Cite \textit{A. Zireh}, Georgian Math. J. 15, No. 1, 189--194 (2008; Zbl 1153.37385)
Rochon, D. On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation. (English) Zbl 1151.30344 Complex Var. Elliptic Equ. 53, No. 6, 501-521 (2008). MSC: 30G20 30G35 32A30 PDF BibTeX XML Cite \textit{D. Rochon}, Complex Var. Elliptic Equ. 53, No. 6, 501--521 (2008; Zbl 1151.30344) Full Text: DOI arXiv
Srivastava, Rajiv K.; Srivastava, Naveen Kumar On a class of entire bicomplex sequences. (English) Zbl 1165.46027 South East Asian J. Math. Math. Sci. 5, No. 3, 47-67 (2007). Reviewer: Mohamed Zohry (Tétouan) MSC: 46K99 PDF BibTeX XML Cite \textit{R. K. Srivastava} and \textit{N. K. Srivastava}, South East Asian J. Math. Math. Sci. 5, No. 3, 47--67 (2007; Zbl 1165.46027)
Dimiev, S.; Lazov, R.; Slavova, S. Remarks on bicomplex variables and other similar variables. (English) Zbl 1208.30045 Dimiev, Stancho (ed.) et al., Topics in contemporary differential geometry, complex analysis and mathematical physics. Proceedings of the 8th international workshop on complex structures and vector fields, Sofia, Bulgaria, August 21–26, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-790-1/hbk), 50-56 (2007). MSC: 30G35 PDF BibTeX XML Cite \textit{S. Dimiev} et al., in: Topics in contemporary differential geometry, complex analysis and mathematical physics. Proceedings of the 8th international workshop on complex structures and vector fields, Sofia, Bulgaria, August 21--26, 2006. Hackensack, NJ: World Scientific. 50--56 (2007; Zbl 1208.30045) Full Text: DOI
Javtokas, Algirdas A bicomplex Hurwitz zeta-function. (English) Zbl 1182.11039 Šiauliai Math. Semin. 1(9), 23-31 (2006). MSC: 11M35 11R52 11M41 PDF BibTeX XML Cite \textit{A. Javtokas}, Šiauliai Math. Semin. 1(9), 23--31 (2006; Zbl 1182.11039)
Rochon, D.; Tremblay, S. Bicomplex quantum mechanics. II: The Hilbert space. (English) Zbl 1142.81010 Adv. Appl. Clifford Algebr. 16, No. 2, 135-157 (2006). MSC: 81Q05 47S10 46S10 PDF BibTeX XML Cite \textit{D. Rochon} and \textit{S. Tremblay}, Adv. Appl. Clifford Algebr. 16, No. 2, 135--157 (2006; Zbl 1142.81010) Full Text: DOI arXiv
Pogorui, A. A.; Rodríguez-Dagnino, R. M. On the set of zeros of bicomplex polynomials. (English) Zbl 1104.30005 Complex Var. Elliptic Equ. 51, No. 7, 725-730 (2006). MSC: 30C15 12D10 PDF BibTeX XML Cite \textit{A. A. Pogorui} and \textit{R. M. Rodríguez-Dagnino}, Complex Var. Elliptic Equ. 51, No. 7, 725--730 (2006; Zbl 1104.30005) Full Text: DOI Link
Martineau, Étienne; Rochon, Dominic On a bicomplex distance estimation for the Tetrabrot. (English) Zbl 1093.37507 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3039-3050 (2005). MSC: 37F10 37F50 28A80 PDF BibTeX XML Cite \textit{É. Martineau} and \textit{D. Rochon}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 9, 3039--3050 (2005; Zbl 1093.37507) Full Text: DOI
Rochon, D.; Shapiro, M. On algebraic properties of bicomplex and hyperbolic numbers. (English) Zbl 1114.11033 An. Univ. Oradea, Fasc. Mat. 11, 71-110 (2004). Reviewer: Marius Tărnăuceanu (Iaşi) MSC: 11E88 15A66 30G35 PDF BibTeX XML Cite \textit{D. Rochon} and \textit{M. Shapiro}, An. Univ. Oradea, Fasc. Mat. 11, 71--110 (2004; Zbl 1114.11033)
Rochon, Dominic A bicomplex Riemann zeta function. (English) Zbl 1075.30025 Tokyo J. Math. 27, No. 2, 357-369 (2004). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 30G35 32A30 PDF BibTeX XML Cite \textit{D. Rochon}, Tokyo J. Math. 27, No. 2, 357--369 (2004; Zbl 1075.30025) Full Text: DOI
Rochon, Dominic On a generalized Fatou-Julia theorem. (English) Zbl 1041.37023 Fractals 11, No. 3, 213-219 (2003). MSC: 37F50 32H50 37F10 39B12 PDF BibTeX XML Cite \textit{D. Rochon}, Fractals 11, No. 3, 213--219 (2003; Zbl 1041.37023) Full Text: DOI
Srivastava, Rajiv K. Certain points in the theory of bicomplex numbers. (English) Zbl 1137.13300 Math. Stud. 70, No. 1-4, 153-160 (2001). Reviewer: Klaus Habetha (Aachen) MSC: 13-01 PDF BibTeX XML Cite \textit{R. K. Srivastava}, Math. Stud. 70, No. 1--4, 153--160 (2001; Zbl 1137.13300)
Rochon, Dominic A Bloch constant for hyperholomorphic functions. (English) Zbl 1022.30048 Complex Variables, Theory Appl. 44, No. 2, 85-101 (2001). MSC: 30G35 30D45 32A30 PDF BibTeX XML Cite \textit{D. Rochon}, Complex Variables, Theory Appl. 44, No. 2, 85--101 (2001; Zbl 1022.30048) Full Text: DOI
Goncharov, A. B. Explicit construction of characteristic classes. (English) Zbl 0809.57016 Gelfand, Sergej (ed.) et al., I. M. Gelfand Seminar. Part 1: Papers of the Gelfand seminar in functional analysis held at Moscow University, Russia, September 1993. Providence, RI: American Mathematical Society. Adv. Sov. Math. 16(1), 169-210 (1993). Reviewer: R.Kultze (Frankfurt / Main) MSC: 57R20 55R40 55R50 19D45 PDF BibTeX XML Cite \textit{A. B. Goncharov}, Adv. Sov. Math. 16, 169--210 (1993; Zbl 0809.57016)
Dickey, L. A. On exactness of the variational bicomplex. (English) Zbl 0771.58043 Mathematical aspects of classical field theory, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Seattle/WA (USA) 1991, Contemp. Math 132, 307-315 (1992). Reviewer: H.Schröder (Dortmund) MSC: 58J10 57R20 PDF BibTeX XML Cite \textit{L. A. Dickey}, in: Mathematical aspects of classical field theory. Proceedings of the AMS- IMS-SIAM joint summer research conference, held in Seattle, Washington, USA, July 20-26, 1991. Providence, RI: American Mathematical Society. 307--315 (1992; Zbl 0771.58043)
Price, G. Baley An introduction to multicomplex spaces and functions. (English) Zbl 0729.30040 Pure and Applied Mathematics, 140. New York etc: Marcel Dekker, Inc. xiii, 402 p. $ 119.50 (outside US and Canada); $ 99.75 (US and Canada) (1991). Reviewer: K.Habetha (Aachen) MSC: 30G35 30-01 13-01 PDF BibTeX XML Cite \textit{G. B. Price}, An introduction to multicomplex spaces and functions. New York etc: Marcel Dekker, Inc. (1991; Zbl 0729.30040) Backlinks: MO
Tret’yakov, V. A. On properties of some elementary functions defined on the algebra of bicomplex numbers. (Russian) Zbl 0515.30040 Mathematical analysis and the theory of functions, Interuniv. Collect. sci. Works, Moskva 1980, 99-106 (1980). MSC: 30G35 PDF BibTeX XML
Pak, I. T.; Turmukhambetov, R. N. Construction of nonpositional codes for hypercomplex numbers. (Russian) Zbl 0498.94010 Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1979, No. 5, 44-49 (1979). MSC: 94B60 PDF BibTeX XML Cite \textit{I. T. Pak} and \textit{R. N. Turmukhambetov}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1979, No. 5, 44--49 (1979; Zbl 0498.94010)
Benthem, A. Theory of complex and bicomplex numbers. (Théorie des nombres complexes et bicomplexes.) (French) JFM 09.0283.03 Arch. Néerl. XII, 113-176 (1877). Reviewer: van Geer, Prof. (Leiden) MSC: 12D99 PDF BibTeX XML Cite \textit{A. Benthem}, Arch. Néerl. 12, 113--176 (1877; JFM 09.0283.03)