Sendov, Blagovest; Sendov, Hristo Sector analogue of the Gauss-Lucas theorem. (English) Zbl 1461.30024 Can. J. Math. 73, No. 2, 318-338 (2021). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Can. J. Math. 73, No. 2, 318--338 (2021; Zbl 1461.30024) Full Text: DOI
Sendov, Blagovest; Sendov, Hristo Sets in the complex plane mapped into convex ones by Möbius transformations. (English) Zbl 1446.30003 J. Convex Anal. 27, No. 3, 791-810 (2020). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, J. Convex Anal. 27, No. 3, 791--810 (2020; Zbl 1446.30003) Full Text: Link
Sendov, Blagovest; Sendov, Hristo Duality between loci of complex polynomials and the zeros of polar derivatives. (English) Zbl 1421.30004 Math. Proc. Camb. Philos. Soc. 167, No. 1, 65-87 (2019). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Math. Proc. Camb. Philos. Soc. 167, No. 1, 65--87 (2019; Zbl 1421.30004) Full Text: DOI
Sendov, Blagovest; Sendov, Hristo; Wang, Chun Polar convexity and critical points of polynomials. (English) Zbl 1422.30009 J. Convex Anal. 26, No. 2, 636-660 (2019). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} et al., J. Convex Anal. 26, No. 2, 636--660 (2019; Zbl 1422.30009) Full Text: Link
Sendov, Blagovest; Sendov, Hristo Stronger Rolle’s theorem for complex polynomials. (English) Zbl 1391.30010 Proc. Am. Math. Soc. 146, No. 8, 3367-3380 (2018). MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Proc. Am. Math. Soc. 146, No. 8, 3367--3380 (2018; Zbl 1391.30010) Full Text: DOI
Sendov, Blagovest; Sendov, Hristo Separation of the critical points of a polynomial. (English) Zbl 1389.30012 C. R. Acad. Bulg. Sci. 70, No. 5, 607-610 (2017). Reviewer: Petar Popivanov (Sofia) MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, C. R. Acad. Bulg. Sci. 70, No. 5, 607--610 (2017; Zbl 1389.30012)
Sendov, Blagovest; Sendov, Hristo Two Walsh-type theorems for the solutions of multi-affine symmetric polynomials. (English) Zbl 1371.30006 Govil, Narenda Kumar (ed.) et al., Progress in approximation theory and applicable complex analysis. In memory of Q.I. Rahman. Cham: Springer (ISBN 978-3-319-49240-7/hbk; 978-3-319-49242-1/ebook). Springer Optimization and Its Applications 117, 145-162 (2017). MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Springer Optim. Appl. 117, 145--162 (2017; Zbl 1371.30006) Full Text: DOI
Sendov, Bl. Geometric relations between the zeros of polynomials. (English. Russian original) Zbl 1355.30003 Proc. Steklov Inst. Math. 293, 317-324 (2016); translation from Tr. Mat. Inst. Steklova 293, 325-332 (2016). Reviewer: Piroska Lakatos (Debrecen) MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{Bl. Sendov}, Proc. Steklov Inst. Math. 293, 317--324 (2016; Zbl 1355.30003); translation from Tr. Mat. Inst. Steklova 293, 325--332 (2016) Full Text: DOI
Sendov, Blagovest; Sendov, Hristo Loci of complex polynomials. II: Polar derivatives. (English) Zbl 1371.30007 Math. Proc. Camb. Philos. Soc. 159, No. 2, 253-273 (2015). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Math. Proc. Camb. Philos. Soc. 159, No. 2, 253--273 (2015; Zbl 1371.30007) Full Text: DOI
Nikolov, Nikolai; Sendov, Blagovest A converse of the Gauss-Lucas theorem. (English) Zbl 1303.30006 Am. Math. Mon. 121, No. 6, 541-544 (2014). Reviewer: Piroska Lakatos (Debrecen) MSC: 30C15 30C10 PDFBibTeX XMLCite \textit{N. Nikolov} and \textit{B. Sendov}, Am. Math. Mon. 121, No. 6, 541--544 (2014; Zbl 1303.30006) Full Text: DOI arXiv
Sendov, Blagovest; Sendov, Hristo Loci of complex polynomials. I. (English) Zbl 1298.30005 Trans. Am. Math. Soc. 366, No. 10, 5155-5184 (2014). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Trans. Am. Math. Soc. 366, No. 10, 5155--5184 (2014; Zbl 1298.30005) Full Text: DOI
Sendov, Blagovest; Sendov, Hristo Extention of apolarity and grace theorem. (English) Zbl 1318.30008 Math. Balk., New Ser. 27, No. 1-2, 77-87 (2013). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{H. Sendov}, Math. Balk., New Ser. 27, No. 1--2, 77--87 (2013; Zbl 1318.30008)
Sendov, Blagovest Hausdorff geometry of polynomials. (English) Zbl 07740317 Adv. Math., Sci. J. 1, No. 1, 23-26 (2012). MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov}, Adv. Math., Sci. J. 1, No. 1, 23--26 (2012; Zbl 07740317) Full Text: Link
Sendov, B. Polar derivatives and apolarity. (English) Zbl 1265.30010 C. R. Acad. Bulg. Sci. 64, No. 8, 1083-1088 (2011). Reviewer: Petar Popivanov (Sofia) MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov}, C. R. Acad. Bulg. Sci. 64, No. 8, 1083--1088 (2011; Zbl 1265.30010)
Sendov, Blagovest New conjectures in the Hausdorff geometry of polynomials. (English) Zbl 1321.30005 East J. Approx. 16, No. 2, 179-192 (2010). MSC: 30C10 26C10 PDFBibTeX XMLCite \textit{B. Sendov}, East J. Approx. 16, No. 2, 179--192 (2010; Zbl 1321.30005)
Sendov, Blagovest Conjectures in the geometry of polynomials. (English) Zbl 1218.30009 Kiryakova, Virginia (ed.) et al., GFTA’2010 proceedings volume. Proceedings of the international symposium on geometric function theory and applications, Sofia, Bulgaria, August 27–31, 2010. Dedicated to the 70th anniversary of H. M. Srivastava. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 61-86 (2010). MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov}, in: GFTA'2010 proceedings volume. Proceedings of the international symposium on geometric function theory and applications, Sofia, Bulgaria, August 27--31, 2010. Dedicated to the 70th anniversary of H. M. Srivastava. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 61--86 (2010; Zbl 1218.30009)
Sendov, B. Note on the Hausdorff geometry of polynomials. (English) Zbl 1224.30015 C. R. Acad. Bulg. Sci. 63, No. 12, 1707-1714 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov}, C. R. Acad. Bulg. Sci. 63, No. 12, 1707--1714 (2010; Zbl 1224.30015)
Sendov, Blagovest New conjectures in the geometry of polynomials. (English) Zbl 1224.30017 C. R. Acad. Bulg. Sci. 63, No. 5, 659-664 (2010). Reviewer: Petar Popivanov (Sofia) MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov}, C. R. Acad. Bulg. Sci. 63, No. 5, 659--664 (2010; Zbl 1224.30017)
Sendov, B. Complex analogues of the Rolle’s theorem. (English) Zbl 1224.30016 Serdica Math. J. 33, No. 4, 387-398 (2007). MSC: 30C10 26C10 PDFBibTeX XMLCite \textit{B. Sendov}, Serdica Math. J. 33, No. 4, 387--398 (2007; Zbl 1224.30016)
Sendov, Blagovest; Marinov, Pencho Verification of Smale’s mean value conjecture for \(n\leq 10\). (English) Zbl 1174.30004 C. R. Acad. Bulg. Sci. 60, No. 11, 1151-1156 (2007). Reviewer: Petar Popivanov (Sofia) MSC: 30C30 30C10 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{P. Marinov}, C. R. Acad. Bulg. Sci. 60, No. 11, 1151--1156 (2007; Zbl 1174.30004)
Sendov, Blagovest; Marinov, Pencho On the mean value conjectures of Smale and Tischler. (English) Zbl 1487.30006 East J. Approx. 12, No. 3, 353-366 (2006). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{P. Marinov}, East J. Approx. 12, No. 3, 353--366 (2006; Zbl 1487.30006)
Sendov, Blagovest Broader setting for the male’s mean value theorem. (English) Zbl 1088.30002 C. R. Acad. Bulg. Sci. 58, No. 9, 1007-1012 (2005). Reviewer: Geno Nikolov (Sofia) MSC: 30C10 PDFBibTeX XMLCite \textit{B. Sendov}, C. R. Acad. Bulg. Sci. 58, No. 9, 1007--1012 (2005; Zbl 1088.30002)
Sendov, Bl.; Nikolov, N. Min problems for complex polynomials. (English) Zbl 1111.30006 East J. Approx. 9, No. 4, 427-442 (2003). MSC: 30C10 41A10 PDFBibTeX XMLCite \textit{Bl. Sendov} and \textit{N. Nikolov}, East J. Approx. 9, No. 4, 427--442 (2003; Zbl 1111.30006)
Sendov, Bl.; Nikolov, N. Min value problems for complex polynomials. (English) Zbl 1036.30004 C. R. Acad. Bulg. Sci. 56, No. 12, 5-10 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 30C10 PDFBibTeX XMLCite \textit{Bl. Sendov} and \textit{N. Nikolov}, C. R. Acad. Bulg. Sci. 56, No. 12, 5--10 (2003; Zbl 1036.30004)
Sendov, Bl.; Nikolov, N. Variations of Smale’s mean value conjecture. (English) Zbl 1036.30003 C. R. Acad. Bulg. Sci. 56, No. 11, 9-14 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 30C10 PDFBibTeX XMLCite \textit{Bl. Sendov} and \textit{N. Nikolov}, C. R. Acad. Bulg. Sci. 56, No. 11, 9--14 (2003; Zbl 1036.30003)
Sendov, Blagovest Geometry of polynomials and numerical analysis. (English) Zbl 1032.65023 Dimov, Ivan (ed.) et al., Numerical methods and applications. 5th international conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 2542, 61-69 (2003). MSC: 65E05 65H05 30C15 30C10 65D07 65T60 PDFBibTeX XMLCite \textit{B. Sendov}, Lect. Notes Comput. Sci. 2542, 61--69 (2003; Zbl 1032.65023) Full Text: Link
Sendov, Bl. On the Hausdorff geometry of polynomials. (English) Zbl 1101.30007 Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 10. Approximation theory and harmonic analysis. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2649-7). 194-207 (2002). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{Bl. Sendov}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 10. Teoriya nablyzhen' ta garmonichnyj analiz. Kyïv: Instytut Matematyky NAN Ukraïny. 194--207 (2002; Zbl 1101.30007)
Sendov, Bl. On the Hausdorff geometry of polynomials, a generalized conjecture. (English) Zbl 1031.30004 Shtrakov, Sl. (ed.) et al., Discrete mathematics and applications. Proceedings of the 6th international conference, Bansko, Bulgaria, August 31-September 2, 2001. Blagoevgrad: South-West University. Res. Math. Comput. Sci. 1-12 (2002). Reviewer: Jan Stankiewicz (Rzeszów) MSC: 30C10 PDFBibTeX XMLCite \textit{Bl. Sendov}, in: Discrete mathematics and applications. Proceedings of the 6th international conference, Bansko, Bulgaria, August 31--September 2, 2001. Blagoevgrad: South-West University. 1--12 (2002; Zbl 1031.30004)
Sendov, Bl. Hausdorff geometry of polynomials. (English) Zbl 1097.30002 East J. Approx. 7, No. 2, 123-178 (2001). MSC: 30C10 PDFBibTeX XMLCite \textit{Bl. Sendov}, East J. Approx. 7, No. 2, 123--178 (2001; Zbl 1097.30002)
Sendov, Bl. On the zeros of an algebraic polynomial and its consecutive derivatives. (English) Zbl 0980.30009 C. R. Acad. Bulg. Sci. 54, No. 12, 13-18 (2001). Reviewer: Petar Popivanov (Sofia) MSC: 30C15 12D10 PDFBibTeX XMLCite \textit{Bl. Sendov}, C. R. Acad. Bulg. Sci. 54, No. 12, 13--18 (2001; Zbl 0980.30009)
Sendov, Bl. A note on Haussdorff geometry of polynomials. (English) Zbl 0980.30008 C. R. Acad. Bulg. Sci. 54, No. 6, 13-16 (2001). Reviewer: Petar Popivanov (Sofia) MSC: 30C15 12D10 PDFBibTeX XMLCite \textit{Bl. Sendov}, C. R. Acad. Bulg. Sci. 54, No. 6, 13--16 (2001; Zbl 0980.30008)
Sendov, Blagovest On the critical points of a polynomial. (English) Zbl 0876.30002 East J. Approx. 1, No. 2, 255-258 (1995). Reviewer: Z.Rubinstein (Haifa) MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{B. Sendov}, East J. Approx. 1, No. 2, 255--258 (1995; Zbl 0876.30002)