Vol. 9 No. 2 (2025): Vol 9, Iss 2, Year 2025
Articles

Sharp bounds of hankel determinant on logarithmic coefficients for the family of bounded turning functions associated with exponential function

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  • Murugan A,
  • Prathviraj Sharma,
  • Sivasubramanian S
Murugan A
Department of Mathematics, College of Engineering Guindy, Anna University, Tindivanam 604001, Tamilnadu, India
Prathviraj Sharma
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, India
Sivasubramanian S
Department of Mathematics, University College of Engineering Tindivanam, Anna University, Tindivanam 604001, Tamilnadu, Indiaa
DOI: https://doi.org/10.26524/cm219
Published December 20, 2025
Keywords
  • analytic; exponential function; hankel determinant; logarithmic coefficient.
How to Cite
Murugan A, Prathviraj Sharma, & Sivasubramanian S. (2025). Sharp bounds of hankel determinant on logarithmic coefficients for the family of bounded turning functions associated with exponential function. Journal of Computational Mathematica, 9(2), 75-89. https://doi.org/10.26524/cm219

Abstract

In this article, we examined a subclass of bounded turning functions, denoted as Re, which are associated with the exponential function. Sharp upper bounds for some of the initial coefficients are investigated for the class defined. Furthermore, we examined the logarithmic coefficient for this class. The main aim of this article is to obtain the sharp estimates of the second Hankel determinant with the logarithmic coefficient as entry for this class.

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