Hankel determinant for the class of bounded turning functions associated with generalized telephone numbers

gangadharan murugusundaramoorthy; Panigrahi Trailokya

doi:10.5269/bspm.62379

gangadharan murugusundaramoorthy G.Murugusundaramoorthy,Ph.D Sr.Professor of Mathematics, School of Advanced Sciences, VIT UNIVERSITY,Vellore-632 014
Panigrahi Trailokya https://orcid.org/0000-0001-7289-9578

Resumo

In the present paper making use of subordination
between two analytic functions, certain subclass of bounded
turning functions associated with generalized telephone numbers is
introduced. The few coefficients bounds are obtained through
series expansion and later used to investigate the optimum bounds
of the Hankel determinant of order three for above defined class.

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Biografia do Autor

gangadharan murugusundaramoorthy, G.Murugusundaramoorthy,Ph.D Sr.Professor of Mathematics, School of Advanced Sciences, VIT UNIVERSITY,Vellore-632 014

G.Murugusundaramoorthy,Ph.D

Sr.Professor of Mathematics,

School of Advanced Sciences,

VIT UNIVERSITY,Vellore-632 014

Panigrahi Trailokya

Institute of Mathematics and Applications,\\ Andharua,
Bhubaneswar-751029,Odisha, India

Referências

Prof. Teodor Bulboaca
Faculty of Mathematics and Computer Science, Babe\c{s}-Bolyai University, 400084 Cluj-Napoca, Romania
Email: bulboaca@math.ubbcluj.ro
K. R. Karthikeyan Department of Applied Mathematics and Science, National University of Science \& Technology (By Merger of Caledonian College of Engineering and Oman Medical College), Sultanate of Oman.Email; karthikeyan@nu.edu.om
Mohapatra, Ram Narayan, University of Central Florida, Orlando, United States Email: ram.mohapatra@ucf.edu
Thomas Rosy, Department of mathematics, Madras Christian College, Chennai. Email; thomas.rosy @gmail.com