Liu, Gang; Ponnusamy, Saminathan Improved Bohr inequality for harmonic mappings. (English) Zbl 1523.31005 Math. Nachr. 296, No. 2, 716-731 (2023). MSC: 31A05 30B10 30A10 PDFBibTeX XMLCite \textit{G. Liu} and \textit{S. Ponnusamy}, Math. Nachr. 296, No. 2, 716--731 (2023; Zbl 1523.31005) Full Text: DOI arXiv
Huang, Yong; Liu, Ming-Sheng; Ponnusamy, Saminathan The Bohr-type operator on analytic functions and sections. (English) Zbl 1509.30002 Complex Var. Elliptic Equ. 68, No. 2, 317-332 (2023). MSC: 30B10 30A10 30H05 PDFBibTeX XMLCite \textit{Y. Huang} et al., Complex Var. Elliptic Equ. 68, No. 2, 317--332 (2023; Zbl 1509.30002) Full Text: DOI arXiv
Lin, Rouyuan; Liu, Mingsheng; Ponnusamy, Saminathan The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables. (English) Zbl 1513.30004 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 63-79 (2023). MSC: 30A10 30B10 30C45 32A10 PDFBibTeX XMLCite \textit{R. Lin} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 63--79 (2023; Zbl 1513.30004) Full Text: DOI
Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim Improved Bohr’s phenomenon in quasi-subordination classes. (English) Zbl 1475.30005 J. Math. Anal. Appl. 506, No. 1, Article ID 125645, 10 p. (2022). MSC: 30A10 30B10 30C80 PDFBibTeX XMLCite \textit{S. Ponnusamy} et al., J. Math. Anal. Appl. 506, No. 1, Article ID 125645, 10 p. (2022; Zbl 1475.30005) Full Text: DOI arXiv
Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirth, Karl-Joachim Modifications of Bohr’s inequality in various settings. (English) Zbl 1515.30005 Houston J. Math. 47, No. 4, 807-831 (2021). MSC: 30A10 30B10 30C80 PDFBibTeX XMLCite \textit{S. Ponnusamy} et al., Houston J. Math. 47, No. 4, 807--831 (2021; Zbl 1515.30005) Full Text: arXiv Link
Liu, Gang; Liu, Zhihong; Ponnusamy, Saminathan Refined Bohr inequality for bounded analytic functions. (English) Zbl 1477.30047 Bull. Sci. Math. 173, Article ID 103054, 20 p. (2021). MSC: 30H05 30A10 30C50 PDFBibTeX XMLCite \textit{G. Liu} et al., Bull. Sci. Math. 173, Article ID 103054, 20 p. (2021; Zbl 1477.30047) Full Text: DOI arXiv
Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators. (English) Zbl 1461.30008 J. Math. Anal. Appl. 496, No. 2, Article ID 124824, 18 p. (2021). MSC: 30B10 30A10 30H05 PDFBibTeX XMLCite \textit{I. R. Kayumov} et al., J. Math. Anal. Appl. 496, No. 2, Article ID 124824, 18 p. (2021; Zbl 1461.30008) Full Text: DOI
Ismagilov, A. A.; Kayumova, A. V.; Kayumov, I. R.; Ponnusamy, S. Bohr inequalities in some classes of analytic functions. (English. Russian original) Zbl 1468.30008 J. Math. Sci., New York 252, No. 3, 360-373 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 69-83 (2018). Reviewer: Agnieszka Wisniowska-Wajnryb (Rzeszów) MSC: 30B10 30A10 PDFBibTeX XMLCite \textit{A. A. Ismagilov} et al., J. Math. Sci., New York 252, No. 3, 360--373 (2021; Zbl 1468.30008); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 69--83 (2018) Full Text: DOI
Ponnusamy, S.; Wirths, K.-J. Bohr type inequalities for functions with a multiple zero at the origin. (English) Zbl 1461.30004 Comput. Methods Funct. Theory 20, No. 3-4, 559-570 (2020). MSC: 30A10 30B10 PDFBibTeX XMLCite \textit{S. Ponnusamy} and \textit{K. J. Wirths}, Comput. Methods Funct. Theory 20, No. 3--4, 559--570 (2020; Zbl 1461.30004) Full Text: DOI arXiv
Alkhaleefah, Seraj A.; Kayumov, Ilgiz R.; Ponnusamy, Saminathan Bohr-Rogosinski inequalities for bounded analytic functions. (English) Zbl 1456.30001 Lobachevskii J. Math. 41, No. 11, 2110-2119 (2020). MSC: 30B10 30H05 PDFBibTeX XMLCite \textit{S. A. Alkhaleefah} et al., Lobachevskii J. Math. 41, No. 11, 2110--2119 (2020; Zbl 1456.30001) Full Text: DOI arXiv
Ponnusamy, Saminathan; Sharma, Navneet Lal; Wirths, Karl-Joachim Logarithmic coefficients problems in families related to starlike and convex functions. (English) Zbl 1440.30004 J. Aust. Math. Soc. 109, No. 2, 230-249 (2020). MSC: 30C45 30C20 30C50 30C55 PDFBibTeX XMLCite \textit{S. Ponnusamy} et al., J. Aust. Math. Soc. 109, No. 2, 230--249 (2020; Zbl 1440.30004) Full Text: DOI arXiv
Alkhaleefah, Seraj A.; Kayumov, Ilgiz R.; Ponnusamy, Saminathan On the Bohr inequality with a fixed zero coefficient. (English) Zbl 1428.30001 Proc. Am. Math. Soc. 147, No. 12, 5263-5274 (2019). MSC: 30A10 30B10 30C62 30C80 31A05 PDFBibTeX XMLCite \textit{S. A. Alkhaleefah} et al., Proc. Am. Math. Soc. 147, No. 12, 5263--5274 (2019; Zbl 1428.30001) Full Text: DOI arXiv
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
Kayumova, Anna; Kayumov, Ilgiz R.; Ponnusamy, Saminathan Bohr’s inequality for harmonic mappings and beyond. (English) Zbl 1460.30003 Ghosh, Debdas (ed.) et al., Mathematics and computing. 4th international conference, ICMC 2018, Varanasi, India, January 9–11, 2018. Revised selected papers. Singapore: Springer. Commun. Comput. Inf. Sci. 834, 245-256 (2018). MSC: 30B10 30A10 30H05 31A05 PDFBibTeX XMLCite \textit{A. Kayumova} et al., Commun. Comput. Inf. Sci. 834, 245--256 (2018; Zbl 1460.30003) Full Text: DOI
Ponnusamy, Saminathan; Wirths, Karl-Joachim Coefficient problems on the class \(U(\lambda)\). (English) Zbl 1427.30029 Probl. Anal. Issues Anal. 7(25), No. 1, 87-103 (2018). MSC: 30C45 30C50 30C55 PDFBibTeX XMLCite \textit{S. Ponnusamy} and \textit{K.-J. Wirths}, Probl. Anal. Issues Anal. 7(25), No. 1, 87--103 (2018; Zbl 1427.30029) Full Text: DOI arXiv MNR
Muthukumar, Perumal; Ponnusamy, Saminathan Weighted composition operators on the class of subordinate functions. (English) Zbl 1407.30007 Rocky Mt. J. Math. 48, No. 6, 2055-2068 (2018). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30C80 47B38 47B33 PDFBibTeX XMLCite \textit{P. Muthukumar} and \textit{S. Ponnusamy}, Rocky Mt. J. Math. 48, No. 6, 2055--2068 (2018; Zbl 1407.30007) Full Text: DOI arXiv Euclid
Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim Logarithmic coefficients and a coefficient conjecture for univalent functions. (English) Zbl 1400.30027 Monatsh. Math. 185, No. 3, 489-501 (2018); erratum ibid. 185, No. 3, 503-506 (2018). Reviewer: Janusz Sokol (Rzeszow) MSC: 30C45 PDFBibTeX XMLCite \textit{M. Obradović} et al., Monatsh. Math. 185, No. 3, 489--501 (2018; Zbl 1400.30027) Full Text: DOI arXiv
Kayumov, Ilgiz R.; Ponnusamy, Saminathan Bohr inequality for odd analytic functions. (English) Zbl 1385.30003 Comput. Methods Funct. Theory 17, No. 4, 679-688 (2017). Reviewer: Vagia Vlachou (Rio) MSC: 30A10 30H05 30C35 30B10 PDFBibTeX XMLCite \textit{I. R. Kayumov} and \textit{S. Ponnusamy}, Comput. Methods Funct. Theory 17, No. 4, 679--688 (2017; Zbl 1385.30003) Full Text: DOI arXiv
Ponnusamy, Saminathan; Qiao, Jinjing Characterization of univalent harmonic mappings with integer or half-integer coefficients. (English) Zbl 1360.31003 Analysis, München 37, No. 1, 23-38 (2017). MSC: 31A05 30C50 PDFBibTeX XMLCite \textit{S. Ponnusamy} and \textit{J. Qiao}, Analysis, München 37, No. 1, 23--38 (2017; Zbl 1360.31003) Full Text: DOI
Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim Geometric studies on the class \(\mathcal U(\lambda)\). (English) Zbl 1348.30009 Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 1259-1284 (2016). MSC: 30C45 30C50 PDFBibTeX XMLCite \textit{M. Obradović} et al., Bull. Malays. Math. Sci. Soc. (2) 39, No. 3, 1259--1284 (2016; Zbl 1348.30009) Full Text: DOI arXiv
Ponnusamy, Saminathan; Sahoo, Swadesh Kumar; Sharma, Navneet Lal Maximal area integral problem for certain class of univalent analytic functions. (English) Zbl 1359.30025 Mediterr. J. Math. 13, No. 2, 607-623 (2016). Reviewer: V. Ravichandran (Delhi) MSC: 30C45 30C55 PDFBibTeX XMLCite \textit{S. Ponnusamy} et al., Mediterr. J. Math. 13, No. 2, 607--623 (2016; Zbl 1359.30025) Full Text: DOI arXiv
Ponnusamy, S.; Kaliraj, A. Sairam On the coefficient conjecture of Clunie and Sheil-Small on univalent harmonic mappings. (English) Zbl 1323.31002 Proc. Indian Acad. Sci., Math. Sci. 125, No. 3, 277-290 (2015). MSC: 31A05 30C45 30C50 PDFBibTeX XMLCite \textit{S. Ponnusamy} and \textit{A. S. Kaliraj}, Proc. Indian Acad. Sci., Math. Sci. 125, No. 3, 277--290 (2015; Zbl 1323.31002) Full Text: DOI arXiv
Ponnusamy, Saminathan; Qiao, Jinjing Classification of univalent harmonic mappings on the unit disk with half-integer coefficients. (English) Zbl 1321.31001 J. Aust. Math. Soc. 98, No. 2, 257-280 (2015). Reviewer: Nikola Tuneski (Skopje) MSC: 31A05 30C20 PDFBibTeX XMLCite \textit{S. Ponnusamy} and \textit{J. Qiao}, J. Aust. Math. Soc. 98, No. 2, 257--280 (2015; Zbl 1321.31001) Full Text: DOI
Obradović, Milutin; Ponnusamy, S.; Wirths, Karl-Joachim Integral means and Dirichlet integral for analytic functions. (English) Zbl 1309.30019 Math. Nachr. 288, No. 2-3, 334-342 (2015). MSC: 30C45 30E99 PDFBibTeX XMLCite \textit{M. Obradović} et al., Math. Nachr. 288, No. 2--3, 334--342 (2015; Zbl 1309.30019) Full Text: DOI
Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim A proof of Yamashita’s conjecture on area integral. (English) Zbl 1283.30031 Comput. Methods Funct. Theory 13, No. 3, 479-492 (2013). Reviewer: Jan Stankiewicz (Rzeszów) MSC: 30C45 30C50 PDFBibTeX XMLCite \textit{M. Obradović} et al., Comput. Methods Funct. Theory 13, No. 3, 479--492 (2013; Zbl 1283.30031) Full Text: DOI
Obradović, Milutin; Ponnusamy, Saminathan; Wirths, Karl-Joachim Coefficient characterizations and sections for some univalent functions. (English. Russian original) Zbl 1283.30047 Sib. Math. J. 54, No. 4, 679-696 (2013); translation from Sib. Mat. Zh. 54, No. 4, 852-870 (2013). MSC: 30C50 30C45 PDFBibTeX XMLCite \textit{M. Obradović} et al., Sib. Math. J. 54, No. 4, 679--696 (2013; Zbl 1283.30047); translation from Sib. Mat. Zh. 54, No. 4, 852--870 (2013) Full Text: DOI
Bhowmik, Bappaditya; Ponnusamy, Saminathan; Wirths, Karl-Joachim Characterization and the pre-Schwarzian norm estimate for concave univalent functions. (English) Zbl 1201.30008 Monatsh. Math. 161, No. 1, 59-75 (2010). MSC: 30C45 PDFBibTeX XMLCite \textit{B. Bhowmik} et al., Monatsh. Math. 161, No. 1, 59--75 (2010; Zbl 1201.30008) Full Text: DOI arXiv
Ponnusamy, S. Subordination properties of certain integrals. (English) Zbl 0752.30012 Proc. Indian Acad. Sci., Math. Sci. 101, No. 3, 219-226 (1991). Reviewer: J.Waniurski (Lublin) MSC: 30C80 30C45 PDFBibTeX XMLCite \textit{S. Ponnusamy}, Proc. Indian Acad. Sci., Math. Sci. 101, No. 3, 219--226 (1991; Zbl 0752.30012) Full Text: DOI