Abstract
Let PRΛn be the class of holomorphic functions with positive real part and real Taylor coefficients the first m + 1 of which are common for all these functions. We find: a) The extreme points of the class PRΛn. b) The extrema of {f(r): f ∈ PRΛn}, {f′(r): f ∈ PRΛn} and {f′(r): f ∈ PRΛn}. We also solve respective problems for typical real functions.
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Samaris, N. Extremal Problems in Some Classes of Holomorphic Functions. Results. Math. 25, 125–138 (1994). https://doi.org/10.1007/BF03323147
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DOI: https://doi.org/10.1007/BF03323147