Ponnusamy, S.; Shmidt, E. S.; Starkov, V. V. The Bohr radius and its modifications for linearly invariant families of analytic functions. (English) Zbl 07791637 J. Math. Anal. Appl. 533, No. 1, Article ID 128039, 9 p. (2024). MSC: 30B10 32A10 PDFBibTeX XMLCite \textit{S. Ponnusamy} et al., J. Math. Anal. Appl. 533, No. 1, Article ID 128039, 9 p. (2024; Zbl 07791637) Full Text: DOI
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
Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan The Bohr inequality for the generalized Cesáro averaging operators. (English) Zbl 1483.30005 Mediterr. J. Math. 19, No. 1, Paper No. 19, 16 p. (2022). MSC: 30A10 30B10 PDFBibTeX XMLCite \textit{I. R. Kayumov} et al., Mediterr. J. Math. 19, No. 1, Paper No. 19, 16 p. (2022; Zbl 1483.30005) Full Text: DOI arXiv
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
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, Saminathan; Vijayakumar, Ramakrishnan Note on Improved Bohr Inequality for harmonic mappings. arXiv:2104.06717 Preprint, arXiv:2104.06717 [math.CV] (2021). MSC: 30A10 30B10 31A05 30H05 41A58 30C75 40A30 BibTeX Cite \textit{S. Ponnusamy} and \textit{R. Vijayakumar}, ``Note on Improved Bohr Inequality for harmonic mappings'', Preprint, arXiv:2104.06717 [math.CV] (2021) Full Text: arXiv OA License
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; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim New inequalities for the coefficients of unimodular bounded functions. (English) Zbl 1442.30003 Result. Math. 75, No. 3, Paper No. 107, 11 p. (2020). MSC: 30A10 30B10 30C80 PDFBibTeX XMLCite \textit{S. Ponnusamy} et al., Result. Math. 75, No. 3, Paper No. 107, 11 p. (2020; Zbl 1442.30003) Full Text: DOI
Ismagilov, Amir; Kayumov, Ilgiz R.; Ponnusamy, Saminathan Sharp Bohr type inequality. (English) Zbl 1441.30077 J. Math. Anal. Appl. 489, No. 1, Article ID 124147, 9 p. (2020). MSC: 30H05 30B10 30C50 PDFBibTeX XMLCite \textit{A. Ismagilov} et al., J. Math. Anal. Appl. 489, No. 1, Article ID 124147, 9 p. (2020; Zbl 1441.30077) 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
Ponnusamy, Saminathan; Vijayakumar, Ramakrishnan; Wirths, Karl-Joachim Refinement of the Classical Bohr Inequality. arXiv:1911.05315 Preprint, arXiv:1911.05315 [math.CV] (2019). MSC: 30A10 30B10 30C45 30C55 41A58 BibTeX Cite \textit{S. Ponnusamy} et al., ``Refinement of the Classical Bohr Inequality'', Preprint, arXiv:1911.05315 [math.CV] (2019) Full Text: arXiv OA License
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
Kayumov, Ilgiz R.; Ponnusamy, Saminathan; Shakirov, Nail Bohr radius for locally univalent harmonic mappings. (English) Zbl 1398.30003 Math. Nachr. 291, No. 11-12, 1757-1768 (2018). MSC: 30A10 30B10 30C62 31A05 PDFBibTeX XMLCite \textit{I. R. Kayumov} et al., Math. Nachr. 291, No. 11--12, 1757--1768 (2018; Zbl 1398.30003) Full Text: DOI arXiv
Kayumov, Ilgiz R.; Ponnusamy, Saminathan Bohr’s inequalities for the analytic functions with lacunary series and harmonic functions. (English) Zbl 1394.31001 J. Math. Anal. Appl. 465, No. 2, 857-871 (2018). MSC: 31A05 30B10 30H05 PDFBibTeX XMLCite \textit{I. R. Kayumov} and \textit{S. Ponnusamy}, J. Math. Anal. Appl. 465, No. 2, 857--871 (2018; Zbl 1394.31001) Full Text: DOI arXiv
Kayumov, Ilgiz R.; Ponnusamy, Saminathan Improved version of Bohr’s inequality. (Version améliorée de l’inégalité de Bohr.) (English. French summary) Zbl 1432.30002 C. R., Math., Acad. Sci. Paris 356, No. 3, 272-277 (2018). Reviewer: Vagia Vlachou (Rio) MSC: 30A10 30H05 30B10 PDFBibTeX XMLCite \textit{I. R. Kayumov} and \textit{S. Ponnusamy}, C. R., Math., Acad. Sci. Paris 356, No. 3, 272--277 (2018; Zbl 1432.30002) Full Text: DOI
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
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
Ruscheweyh, S. (ed.); Ponnusamy, S. (ed.) Topics in modern function theory. Based on mini-courses of the CMFT workshop on computational methods and function theory, Guwahati, India, January 3–10, 2008. (English) Zbl 1300.30003 Ramanujan Mathematical Society Lecture Notes Series 19. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-12-0/hbk). iii, 333 p. (2013). MSC: 30-06 30C30 30B70 30F15 30F45 65E05 11M06 00B25 PDFBibTeX XMLCite \textit{S. Ruscheweyh} (ed.) and \textit{S. Ponnusamy} (ed.), Topics in modern function theory. Based on mini-courses of the CMFT workshop on computational methods and function theory, Guwahati, India, January 3--10, 2008. Mysore: Ramanujan Mathematical Society (2013; Zbl 1300.30003)
Müller, J.; Naik, S.; Ponnusamy, S. Growth of entire functions of exponential type defined by convolution. (English) Zbl 1106.30014 Arch. Math. 87, No. 4, 330-342 (2006). Reviewer: Luis Bernal Gonzales (Sevilla) MSC: 30D15 30B40 30E15 33C90 44A20 PDFBibTeX XMLCite \textit{J. Müller} et al., Arch. Math. 87, No. 4, 330--342 (2006; Zbl 1106.30014) Full Text: DOI