Abstract
Making use of multivalent functions with negative coefficients of the type f(z) = zp − ∑ ∞k = p+1 akzk, which are analytic in the open unit disk and applying the q-derivative a q–differ-integral operator is considered. Furthermore by using the familiar Riesz-Dunford integral, a linear operator on Hilbert space H is introduced. A new subclass of p-valent functions related to an operator on H is defined. Coefficient estimate, distortion bound and extreme points are obtained. The convolution-preserving property is also investigated.
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Najafzadeh, S. q–differ-integral operator on p–valent functions associated with operator on Hilbert space. Appl. Math. J. Chin. Univ. 38, 458–466 (2023). https://doi.org/10.1007/s11766-023-3747-3
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DOI: https://doi.org/10.1007/s11766-023-3747-3