The paper establishes sharp improved and refined operator-valued versions of Bohr's inequality on the unit disk together with their multidimensional analogues on complete circular domains in C^n.
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Derives Bohr radii for operator-valued polyanalytic functions of the form sum conjugate(z)^l f_l(z) where the leading term is subordinate to operator-valued convex or starlike biholomorphic functions.
Bohr radii are obtained for the classes S_c^*(φ), C_c(φ), C_s^*(φ), K_s(φ) such that the sum of |a_n z^n| stays below the distance from f(0) to the boundary of the image for |z| ≤ R_f.
citing papers explorer
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Operator valued analogues of multidimensional Bohr's inequality
The paper establishes sharp improved and refined operator-valued versions of Bohr's inequality on the unit disk together with their multidimensional analogues on complete circular domains in C^n.
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Bohr operator on opertor valued polyanalytic functions on simply connected domains
Derives Bohr radii for operator-valued polyanalytic functions of the form sum conjugate(z)^l f_l(z) where the leading term is subordinate to operator-valued convex or starlike biholomorphic functions.
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Bohr phenomenon for certain close-to-convex analytic functions
Bohr radii are obtained for the classes S_c^*(φ), C_c(φ), C_s^*(φ), K_s(φ) such that the sum of |a_n z^n| stays below the distance from f(0) to the boundary of the image for |z| ≤ R_f.