Honam Mathematical Journal (호남수학학술지)

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SYMMETRIC TOEPLITZ DETERMINANTS ASSOCIATED WITH A LINEAR COMBINATION OF SOME GEOMETRIC EXPRESSIONS

  • Ahuja, Om P. (Department of Mathematics, Kent State University) ;
  • Khatter, Kanika (Department of Mathematics, Hindu Girls College) ;
  • Ravichandran, V. (Department of Mathematics, National Institute of Technology)
  • Received : 2021.03.21
  • Accepted : 2021.05.01
  • Published : 2021.09.25
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Abstract

Let f be the function defined on the open unit disk, with f(0) = 0 = f'(0) - 1, satisfying Re (αf'(z) + (1 - α)zf'(z)/f(z)) > 0 or Re (αf'(z) + (1 - α)(1 + zf"(z)/f'(z)) > 0 respectively, where 0 ≤ α ≤ 1. Estimates for the Toeplitz determinants have been obtained when the elements are the coefficients of the functions belonging to these two subclasses.

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References

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