Liu, Gang; Ponnusamy, Saminathan The link on extraneous non-repelling cycles of Schröder’s methods of the first and second kind. (English) Zbl 07808089 J. Math. Anal. Appl. 534, No. 2, Article ID 128071, 16 p. (2024). MSC: 37Fxx 65Hxx 30Dxx PDFBibTeX XMLCite \textit{G. Liu} and \textit{S. Ponnusamy}, J. Math. Anal. Appl. 534, No. 2, Article ID 128071, 16 p. (2024; Zbl 07808089) Full Text: DOI
Hästö, Peter; Ponnusamy, Saminathan A proof of Hall’s conjecture on length of ray images under starlike mappings of order \(\alpha\). (English) Zbl 1483.30037 Ann. Fenn. Math. 47, No. 1, 335-349 (2022). MSC: 30C45 30C20 30C35 PDFBibTeX XMLCite \textit{P. Hästö} and \textit{S. Ponnusamy}, Ann. Fenn. Math. 47, No. 1, 335--349 (2022; Zbl 1483.30037) Full Text: DOI arXiv
Li, Peijin; Ponnusamy, Saminathan Lipschitz continuity of quasiconformal solutions of the non-homogeneous Yukawa equations. (English) Zbl 1486.30066 Anal. Math. Phys. 12, No. 1, Paper No. 9, 15 p. (2022). MSC: 30C62 30F45 30C20 PDFBibTeX XMLCite \textit{P. Li} and \textit{S. Ponnusamy}, Anal. Math. Phys. 12, No. 1, Paper No. 9, 15 p. (2022; Zbl 1486.30066) Full Text: DOI
Liu, Gang; Ponnusamy, Saminathan Finite pairs of prescribed cycles of König’s and Steffensen’s methods for entire functions. (English) Zbl 1437.37055 J. Comput. Appl. Math. 368, Article ID 112549, 9 p. (2020). Reviewer: Sanjib Kumar Datta (Kalyani) MSC: 37F10 30D05 30D15 30D20 37N30 65F10 PDFBibTeX XMLCite \textit{G. Liu} and \textit{S. Ponnusamy}, J. Comput. Appl. Math. 368, Article ID 112549, 9 p. (2020; Zbl 1437.37055) Full Text: DOI
Abu Muhanna, Yusuf; Ali, Rosihan M.; Ponnusamy, Saminathan The spherical metric and univalent harmonic mappings. (English) Zbl 1416.31001 Monatsh. Math. 188, No. 4, 703-716 (2019). MSC: 31A05 30C50 PDFBibTeX XMLCite \textit{Y. Abu Muhanna} et al., Monatsh. Math. 188, No. 4, 703--716 (2019; Zbl 1416.31001) Full Text: DOI arXiv
Chen, Shaolin; Ponnusamy, Saminathan Radial length, radial John disks and \(K\)-quasiconformal harmonic mappings. (English) Zbl 1416.30011 Potential Anal. 50, No. 3, 415-437 (2019). MSC: 30C65 PDFBibTeX XMLCite \textit{S. Chen} and \textit{S. Ponnusamy}, Potential Anal. 50, No. 3, 415--437 (2019; Zbl 1416.30011) Full Text: DOI arXiv
Liu, Gang; Ponnusamy, Saminathan Prescribed cycles of König’s method for polynomials. (English) Zbl 1382.37045 J. Comput. Appl. Math. 336, 468-476 (2018). MSC: 37F10 37F45 65F10 65H04 PDFBibTeX XMLCite \textit{G. Liu} and \textit{S. Ponnusamy}, J. Comput. Appl. Math. 336, 468--476 (2018; Zbl 1382.37045) Full Text: DOI
Muhanna, Yusuf Abu; Ali, Rosihan M.; Ponnusamy, Saminathan On the Bohr inequality. (English) Zbl 1370.30003 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, 269-300 (2017). MSC: 30B10 30C35 30C80 32A05 30C45 PDFBibTeX XMLCite \textit{Y. A. Muhanna} et al., Springer Optim. Appl. 117, 269--300 (2017; Zbl 1370.30003) Full Text: DOI arXiv
Huang, Manzi; Li, Yaxiang; Ponnusamy, Saminathan; Wang, Xiantao The quasiconformal subinvariance property of John domains in \({\mathbb {R}}^n\) and its applications. (English) Zbl 1336.30032 Math. Ann. 363, No. 1-2, 549-615 (2015). Reviewer: Matti Vuorinen (Turku) MSC: 30C65 PDFBibTeX XMLCite \textit{M. Huang} et al., Math. Ann. 363, No. 1--2, 549--615 (2015; Zbl 1336.30032) Full Text: DOI arXiv
Huang, M.; Ponnusamy, S.; Wang, H.; Wang, X. A cosine inequality in the hyperbolic geometry. (English) Zbl 1203.53014 Appl. Math. Lett. 23, No. 8, 887-891 (2010). Reviewer: Johannes Böhm (Jena) MSC: 53B20 51M10 51M09 PDFBibTeX XMLCite \textit{M. Huang} et al., Appl. Math. Lett. 23, No. 8, 887--891 (2010; Zbl 1203.53014) Full Text: DOI
Hästö, Peter; Ponnusamy, S.; Sahoo, S. K. Equivalence of the Apollonian and its inner metric. (English) Zbl 1194.30047 Int. J. Math. Math. Sci. 2010, Article ID 191858, 15 p. (2010). MSC: 30F45 30C65 PDFBibTeX XMLCite \textit{P. Hästö} et al., Int. J. Math. Math. Sci. 2010, Article ID 191858, 15 p. (2010; Zbl 1194.30047) Full Text: DOI
Huang, M.; Ponnusamy, S.; Wang, X. The quasiconvexity of quasigeodesics in real normed vector spaces. (English) Zbl 1208.30024 Result. Math. 57, No. 3-4, 239-256 (2010). Reviewer: Samyon R. Nasyrov (Kazan’) MSC: 30C65 30C45 PDFBibTeX XMLCite \textit{M. Huang} et al., Result. Math. 57, No. 3--4, 239--256 (2010; Zbl 1208.30024) Full Text: DOI
Huang, M.; Ponnusamy, S.; Wang, X. John disks, the Apollonian metric, and min-max properties. (English) Zbl 1188.30055 Proc. Indian Acad. Sci., Math. Sci. 120, No. 1, 83-96 (2010). MSC: 30F45 PDFBibTeX XMLCite \textit{M. Huang} et al., Proc. Indian Acad. Sci., Math. Sci. 120, No. 1, 83--96 (2010; Zbl 1188.30055) Full Text: DOI
Huang, M.; Ponnusamy, S.; Wang, X. Decomposition and removability properties of John domains. (English) Zbl 1157.30017 Proc. Indian Acad. Sci., Math. Sci. 118, No. 3, 357-370 (2008). Reviewer: Olli Martio (Helsinki) MSC: 30C65 PDFBibTeX XMLCite \textit{M. Huang} et al., Proc. Indian Acad. Sci., Math. Sci. 118, No. 3, 357--370 (2008; Zbl 1157.30017) Full Text: DOI
Huang, M.; Wang, X.; Ponnusamy, S.; Sahoo, S. K. Uniform domains, John domains and quasi-isotropic domains. (English) Zbl 1200.30038 J. Math. Anal. Appl. 343, No. 1, 110-126 (2008). MSC: 30F45 PDFBibTeX XMLCite \textit{M. Huang} et al., J. Math. Anal. Appl. 343, No. 1, 110--126 (2008; Zbl 1200.30038) Full Text: DOI