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On functions satisfying more than one equation of Schiffer type

J. Macura, J. Śladkowska (1993)

Annales Polonici Mathematici

The paper concerns properties of holomorphic functions satisfying more than one equation of Schiffer type ( D n -equation). Such equations are satisfied, in particular, by functions that are extremal (in various classes of univalent functions) with respect to functionals depending on a finite number of coefficients.

On Integral Means for Fractional Calculus Operators of Multivalent Functions

Sümer Eker, S., Özlem Güney, H., Owa, Shigeyoshi (2006)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: Primary 30C45, Secondary 26A33, 30C80Integral means inequalities are obtained for the fractional derivatives and the fractional integrals of multivalent functions. Relevant connections with various known integral means inequalities are also pointed out.

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