Gori, Anna; Sarfatti, Giulia; Vlacci, Fabio Zero sets and Nullstellensatz type theorems for slice regular quaternionic polynomials. (English) Zbl 07799871 Linear Algebra Appl. 685, 162-181 (2024). MSC: 30G35 16S36 PDFBibTeX XMLCite \textit{A. Gori} et al., Linear Algebra Appl. 685, 162--181 (2024; Zbl 07799871) Full Text: DOI arXiv
Fernandez, Arran; Güder, Cihan; Yasin, Walaa Fractional powers of the quaternionic d-bar derivative. (English) Zbl 07793257 Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 2, 25 p. (2024). MSC: 47S05 26A33 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Adv. Appl. Clifford Algebr. 34, No. 1, Paper No. 2, 25 p. (2024; Zbl 07793257) Full Text: DOI
Mir, Abdullah On the zeros of a quaternionic polynomial: an extension of the Eneström-Kakeya theorem. (English) Zbl 07729530 Czech. Math. J. 73, No. 3, 649-662 (2023). MSC: 30E10 30G35 16K20 PDFBibTeX XMLCite \textit{A. Mir}, Czech. Math. J. 73, No. 3, 649--662 (2023; Zbl 07729530) Full Text: DOI
Wani, Irfan Ahmad; Hussain, Adil A note on location of the zeros of quaternionic polynomials. (English) Zbl 1515.30117 Armen. J. Math. 15, Paper No. 7, 12 p. (2023). MSC: 30G35 PDFBibTeX XMLCite \textit{I. A. Wani} and \textit{A. Hussain}, Armen. J. Math. 15, Paper No. 7, 12 p. (2023; Zbl 1515.30117) Full Text: DOI
Mir, Shahbaz; Liman, Abdul Some extensions of Eneström-Kakeya theorem for quaternionic polynomials. (English) Zbl 1515.30116 Korean J. Math. 30, No. 4, 615-628 (2022). MSC: 30G35 30C10 30C15 PDFBibTeX XMLCite \textit{S. Mir} and \textit{A. Liman}, Korean J. Math. 30, No. 4, 615--628 (2022; Zbl 1515.30116) Full Text: DOI
Gardner, R. B.; Taylor, M. A. Generalization of an Eneström-Kakeya type theorem to the quaternions. (English) Zbl 1508.30087 Armen. J. Math. 14, Paper No. 9, 8 p. (2022). MSC: 30G35 30C10 30C15 PDFBibTeX XMLCite \textit{R. B. Gardner} and \textit{M. A. Taylor}, Armen. J. Math. 14, Paper No. 9, 8 p. (2022; Zbl 1508.30087) Full Text: DOI
Mir, Shahbaz; Liman, Abdul On the Eneström-Kakeya theorem for quaternionic polynomials. (English) Zbl 1503.35069 Mediterr. J. Math. 19, No. 6, Paper No. 264, 12 p. (2022). MSC: 35G35 30C10 30C15 PDFBibTeX XMLCite \textit{S. Mir} and \textit{A. Liman}, Mediterr. J. Math. 19, No. 6, Paper No. 264, 12 p. (2022; Zbl 1503.35069) Full Text: DOI
Martínez-Peñas, Umberto Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials. (English) Zbl 1516.16023 Commun. Algebra 50, No. 12, 5060-5079 (2022). MSC: 16S36 12E15 15B33 PDFBibTeX XMLCite \textit{U. Martínez-Peñas}, Commun. Algebra 50, No. 12, 5060--5079 (2022; Zbl 1516.16023) Full Text: DOI arXiv
Milovanović, Gradimir V.; Mir, Abdullah; Ahmad, Abrar On the zeros of a quaternionic polynomial with restricted coefficients. (English) Zbl 1502.30146 Linear Algebra Appl. 653, 231-245 (2022). MSC: 30G35 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Linear Algebra Appl. 653, 231--245 (2022; Zbl 1502.30146) Full Text: DOI
Liman, Abdul; Hussain, Shahbaz; Hussain, Imtiaz A note on a generalisation of Eneström-Kakeya theorem for quaternionic polynomials. (English) Zbl 1502.30145 Mediterr. J. Math. 19, No. 4, Paper No. 192, 10 p. (2022). MSC: 30G35 30C15 PDFBibTeX XMLCite \textit{A. Liman} et al., Mediterr. J. Math. 19, No. 4, Paper No. 192, 10 p. (2022; Zbl 1502.30145) Full Text: DOI
Lercher, Johanna; Schröcker, Hans-Peter A multiplication technique for the factorization of bivariate quaternionic polynomials. (English) Zbl 1497.16027 Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 5, 23 p. (2022). Reviewer: Christoph Koutschan (Linz) MSC: 16S36 12D05 70B10 PDFBibTeX XMLCite \textit{J. Lercher} and \textit{H.-P. Schröcker}, Adv. Appl. Clifford Algebr. 32, No. 1, Paper No. 5, 23 p. (2022; Zbl 1497.16027) Full Text: DOI arXiv
Forstnerič, Franc The Calabi-Yau property of superminimal surfaces in self-dual Einstein four-manifolds. (English) Zbl 1466.53072 J. Geom. Anal. 31, No. 5, 4754-4780 (2021). MSC: 53C42 53A10 53C25 53C26 32E30 37J55 PDFBibTeX XMLCite \textit{F. Forstnerič}, J. Geom. Anal. 31, No. 5, 4754--4780 (2021; Zbl 1466.53072) Full Text: DOI arXiv
Ali, Istkhar; Truhar, Ninoslav Location of right eigenvalues of quaternionic matrix polynomials. (English) Zbl 1423.15009 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 80, 21 p. (2019). Reviewer: Tin Yau Tam (Reno) MSC: 15A18 15A60 12E15 PDFBibTeX XMLCite \textit{I. Ali} and \textit{N. Truhar}, Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 80, 21 p. (2019; Zbl 1423.15009) Full Text: DOI
Bock, Sebastian A generalized monogenic exponential function in \(\mathbb{H}\). (English) Zbl 1436.30041 Complex Var. Elliptic Equ. 64, No. 11, 1881-1897 (2019). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 33B10 PDFBibTeX XMLCite \textit{S. Bock}, Complex Var. Elliptic Equ. 64, No. 11, 1881--1897 (2019; Zbl 1436.30041) Full Text: DOI
Janovská, Drahoslava; Opfer, Gerhard The relation between the companion matrix and the companion polynomial in \(\mathbb {R}^4\) algebras. (English) Zbl 1431.15016 Adv. Appl. Clifford Algebr. 28, No. 4, Paper No. 76, 16 p. (2018). MSC: 15A66 12D10 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, Adv. Appl. Clifford Algebr. 28, No. 4, Paper No. 76, 16 p. (2018; Zbl 1431.15016) Full Text: DOI
Falcão, M. Irene; Miranda, Fernando; Severino, Ricardo; Soares, M. Joana Weierstrass method for quaternionic polynomial root-finding. (English) Zbl 1387.65043 Math. Methods Appl. Sci. 41, No. 1, 423-437 (2018). MSC: 65H04 30G35 12D10 PDFBibTeX XMLCite \textit{M. I. Falcão} et al., Math. Methods Appl. Sci. 41, No. 1, 423--437 (2018; Zbl 1387.65043) Full Text: DOI arXiv
Thirulogasanthar, K.; Ali, S. Twareque General construction of reproducing kernels on a quaternionic Hilbert space. (English) Zbl 1381.46027 Rev. Math. Phys. 29, No. 5, Article ID 1750017, 29 p. (2017). MSC: 46E22 47B32 47B34 81R30 PDFBibTeX XMLCite \textit{K. Thirulogasanthar} and \textit{S. T. Ali}, Rev. Math. Phys. 29, No. 5, Article ID 1750017, 29 p. (2017; Zbl 1381.46027) Full Text: DOI arXiv
Morais, J. Computational aspects of the continuum quaternionic wave functions for hydrogen. (English) Zbl 1343.81247 Ann. Phys. 349, 171-188 (2014). MSC: 81V45 81Q05 35Q40 33C90 33C45 PDFBibTeX XMLCite \textit{J. Morais}, Ann. Phys. 349, 171--188 (2014; Zbl 1343.81247) Full Text: DOI
Liu, Hua About the quaternionic Jacobian conjecture. (English) Zbl 1329.30024 Li, Xing (ed.), Integral equations, boundary value problems and related problems. Selected papers of the 15th conference, Yínchuān, China, August 19–23, 2012. Dedicated to Chien-Ke Lu on the occasion of his 90th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4452-87-8/hbk; 978-981-4452-89-2/ebook). 153-161 (2013). MSC: 30G35 PDFBibTeX XMLCite \textit{H. Liu}, in: Integral equations, boundary value problems and related problems. Selected papers of the 15th conference, Yínchuān, China, August 19--23, 2012. Dedicated to Chien-Ke Lu on the occasion of his 90th birthday. Hackensack, NJ: World Scientific. 153--161 (2013; Zbl 1329.30024)
Feng, Lianggui; Zhao, Kaiming Classifying zeros of two-sided quaternionic polynomials and computing zeros of two-sided polynomials with complex coefficients. (English) Zbl 1293.11103 Pac. J. Math. 262, No. 2, 317-337 (2013). MSC: 11R52 16H05 65H04 PDFBibTeX XMLCite \textit{L. Feng} and \textit{K. Zhao}, Pac. J. Math. 262, No. 2, 317--337 (2013; Zbl 1293.11103) Full Text: DOI
Janovská, Drahoslava; Opfer, Gerhard A note on the computation of all zeros of simple quaternionic polynomials. (English) Zbl 1247.65060 SIAM J. Numer. Anal. 48, No. 1, 244-256 (2010). MSC: 65H04 11R52 16H05 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, SIAM J. Numer. Anal. 48, No. 1, 244--256 (2010; Zbl 1247.65060) Full Text: DOI
Janovská, Drahoslava; Opfer, Gerhard The classification and the computation of the zeros of quaternionic, two-sided polynomials. (English) Zbl 1190.65075 Numer. Math. 115, No. 1, 81-100 (2010). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65H04 11R52 12E15 12Y05 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, Numer. Math. 115, No. 1, 81--100 (2010; Zbl 1190.65075) Full Text: DOI
Jia, Zhigang; Cheng, Xuehan; Zhao, Meixiang A new method for roots of monic quaternionic quadratic polynomial. (English) Zbl 1189.65090 Comput. Math. Appl. 58, No. 9, 1852-1858 (2009). MSC: 65H04 16K20 PDFBibTeX XMLCite \textit{Z. Jia} et al., Comput. Math. Appl. 58, No. 9, 1852--1858 (2009; Zbl 1189.65090) Full Text: DOI
Janovská, Drahoslava; Opfer, Gerhard Quadratic one sided quaternionic polynomials. (English) Zbl 1182.65076 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 367-370 (2009). MSC: 65H04 12Y05 13P05 30C15 PDFBibTeX XMLCite \textit{D. Janovská} and \textit{G. Opfer}, AIP Conf. Proc. 1168, 367--370 (2009; Zbl 1182.65076) Full Text: DOI
Pereira, Ricardo; Rocha, Paula On the determinant of quaternionic polynomial matrices and its application to system stability. (English) Zbl 1142.93028 Math. Methods Appl. Sci. 31, No. 1, 99-122 (2008). MSC: 93D20 15B33 15A15 15A18 93C05 PDFBibTeX XMLCite \textit{R. Pereira} and \textit{P. Rocha}, Math. Methods Appl. Sci. 31, No. 1, 99--122 (2008; Zbl 1142.93028) Full Text: DOI Link
Suzuki, Tatsuo Noncommutative spectral decomposition with quasideterminant. (English) Zbl 1184.15009 Adv. Math. 217, No. 5, 2141-2158 (2008). Reviewer: Alexander Guterman (Moskva) MSC: 15A18 15A15 15B33 PDFBibTeX XMLCite \textit{T. Suzuki}, Adv. Math. 217, No. 5, 2141--2158 (2008; Zbl 1184.15009) Full Text: DOI arXiv
Khimshiashvili, George On stable quaternionic polynomials. (English) Zbl 1194.12002 Bull. Georgian Acad. Sci. 175, No. 3, 19-21 (2007). Reviewer: Florin Nicolae (Berlin) MSC: 12E15 12E10 16K99 PDFBibTeX XMLCite \textit{G. Khimshiashvili}, Bull. Georgian Acad. Sci. 175, No. 3, 19--21 (2007; Zbl 1194.12002)
So, Wasin Quaternionic left eigenvalue problem. (English) Zbl 1087.15012 Southeast Asian Bull. Math. 29, No. 3, 555-565 (2005). Reviewer: A. A. Bogush (Minsk) MSC: 15A18 15B33 65F15 PDFBibTeX XMLCite \textit{W. So}, Southeast Asian Bull. Math. 29, No. 3, 555--565 (2005; Zbl 1087.15012)
Semmelmann, Uwe; Weingart, Gregor An upper bound for a Hilbert polynomial on quaternionic Kähler manifolds. (English) Zbl 1057.53035 J. Geom. Anal. 14, No. 1, 151-170 (2004). Reviewer: Eric Boeckx (Leuven) MSC: 53C26 53C28 58J50 PDFBibTeX XMLCite \textit{U. Semmelmann} and \textit{G. Weingart}, J. Geom. Anal. 14, No. 1, 151--170 (2004; Zbl 1057.53035) Full Text: DOI arXiv
Hitchin, Nigel; Sawon, Justin Curvature and characteristic numbers of hyper-Kähler manifolds. (English) Zbl 1024.53032 Duke Math. J. 106, No. 3, 599-615 (2001). Reviewer: R.Iordanescu (Bucureşti) MSC: 53C26 57R20 32J27 57M27 PDFBibTeX XMLCite \textit{N. Hitchin} and \textit{J. Sawon}, Duke Math. J. 106, No. 3, 599--615 (2001; Zbl 1024.53032) Full Text: DOI arXiv
Hausel, Tamás; Thaddeus, Michael Examples of mirror partners arising from integrable systems. (English. Abridged French version) Zbl 1009.14005 C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 4, 313-318 (2001). Reviewer: Bernd Kreußler (Kaiserslautern) MSC: 14J32 37K10 14H60 14H70 32J25 53C26 PDFBibTeX XMLCite \textit{T. Hausel} and \textit{M. Thaddeus}, C. R. Acad. Sci., Paris, Sér. I, Math. 333, No. 4, 313--318 (2001; Zbl 1009.14005) Full Text: DOI arXiv
Guo, Shiguang Linear factorization of \(\lambda\)-polynomial over quaternionic field. (English) Zbl 0979.15013 Chin. Q. J. Math. 15, No. 2, 12-16 (2000). Reviewer: Václav Burjan (Praha) MSC: 15B33 15A23 15A21 12E05 PDFBibTeX XMLCite \textit{S. Guo}, Chin. Q. J. Math. 15, No. 2, 12--16 (2000; Zbl 0979.15013)
Hempfling, Thomas; Leutwiler, Heinz Modified quaternionic analysis in \(\mathbb{R}^4\). (English) Zbl 0904.30031 Dietrich, Volker (ed.) et al., Clifford algebras and their application in mathematical physics. Proceedings of the 4th conference, Aachen, Germany, May 28–31, 1996. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 94, 227-237 (1998). Reviewer: K.Habetha (Aachen) MSC: 30G35 30B60 PDFBibTeX XMLCite \textit{T. Hempfling} and \textit{H. Leutwiler}, Fundam. Theor. Phys. 94, 227--237 (1998; Zbl 0904.30031)
Knus, M.-A. Bundles on \({\mathbb{P}}^ 2\) with a quaternionic structure. (English) Zbl 0691.14008 Vector bundles on algebraic varieties, Pap. Colloq., Bombay 1984, Stud. Math., Tata Inst. Fundam. Res. 11, 225-250 (1987). Reviewer: V.Vedernikov MSC: 14F05 16Kxx 13F20 PDFBibTeX XML
Le Bruyn, Lieven Cohomology of \({\mathbb{P}}^ m_{(2)}\). (English) Zbl 0635.16013 Sémin. d’algèbre P. Dubreil et M.-P. Malliavin, 37ème Année, Proc., Paris 1985, Lect. Notes Math. 1220, 130-156 (1986). Reviewer: A.R.Magid MSC: 16Rxx 14F05 16E40 16W50 16S50 14C35 15A66 PDFBibTeX XML
Knus, M.-A. Quaternionic modules over \(P^ 2(\)R). (English) Zbl 0482.14005 Brauer groups in ring theory and algebraic geometry, Proc., Antwerp 1981, Lect. Notes Math. 917, 245-259 (1982). MSC: 14F05 16H05 14C35 57R20 14F22 PDFBibTeX XML