Keywords:-

Keywords: Quasi-conformal map, class S, complex dilation, Schwarzian, Nehari’s theorem, harmonic map

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Abstract


In this work, we have proposed a majoration of the modulus of the Schwarzian of certain quasi-conformal maps, defined in the open unit disk ∆ = z ∈ C : |z| < 1}. Using the Schwarzian, we have found some relations linking the Taylor coefficients of these maps.

References:-

References

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KALOUHOHIKO, B. T., & OKANDZE, R. E. (2024). Majoration of the modulus of the Schwarzian of certain quasi-conformal maps. International Journal Of Mathematics And Computer Research, 12(10), 4475-4483. https://doi.org/10.47191/ijmcr/v12i10.04