Establishes sharp generalized Bohr inequalities for K-quasiconformal harmonic mappings on the unit disk using arbitrary majorant sequences ψ_n(r) and derives applications including convolution versions with hypergeometric functions.
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Sharp Bohr-type inequalities are derived for the Cesàro, Bernardi, and discrete Fourier operators acting on bounded analytic functions in shifted disks Ω_γ for γ in [0,1).
Introduces class D_H^0(α, M) of normalized harmonic functions and obtains coefficient bounds, growth, starlikeness and other properties, together with the sharp second Hankel determinant bound for inverse log coefficients of functions in P(M) when Re(z f''(z)) > -M for 0 < M ≤ 1/log 4.
Sharp Bohr-type inequalities proved for K-quasiconformal harmonic mappings using coefficient majorants and half-plane conditions.
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Generalized Bohr inequalities for K-quasiconformal harmonic mappings and their applications
Establishes sharp generalized Bohr inequalities for K-quasiconformal harmonic mappings on the unit disk using arbitrary majorant sequences ψ_n(r) and derives applications including convolution versions with hypergeometric functions.
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Bohr type inequality for certain integral operators and Fourier transform on shifted disks
Sharp Bohr-type inequalities are derived for the Cesàro, Bernardi, and discrete Fourier operators acting on bounded analytic functions in shifted disks Ω_γ for γ in [0,1).
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On certain subclasses of analytic and harmonic mappings
Introduces class D_H^0(α, M) of normalized harmonic functions and obtains coefficient bounds, growth, starlikeness and other properties, together with the sharp second Hankel determinant bound for inverse log coefficients of functions in P(M) when Re(z f''(z)) > -M for 0 < M ≤ 1/log 4.
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The Bohr's Phenomenon for the class of K-quasiconformal harmonic mappings
Sharp Bohr-type inequalities proved for K-quasiconformal harmonic mappings using coefficient majorants and half-plane conditions.