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On certain subclasses of analytic and harmonic mappings

math.CV · 2025-05-25 · unverdicted · novelty 3.0

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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  • On certain subclasses of analytic and harmonic mappings math.CV · 2025-05-25 · unverdicted · none · ref 31

    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.