Coefficient bounds for multivalent classes of starlike  and convex functions defined by higher-order derivatives and complex order

M. K.  Aouf; A. O.  Mostafa; T.  Bulboacă

doi:10.37863/umzh.v74i10.6258

M. K. Aouf Mansoura Univ., Egypt
A. O. Mostafa Mansoura Univ., Egypt
T. Bulboacă Babes ̧-Bolyai Univ., Cluj-Napoca, Romania

DOI: https://doi.org/10.37863/umzh.v74i10.6258

Keywords: CLASSES OF STARLIKE

Abstract

UDC 517.5

We determine coefficient bounds for functions from subclasses of $p$-valent starlike and $p$-valent convex functions defined by higher-order derivatives and complex order introduced with the help of a certain nonhomogeneous Cauchy – Euler differential equation for higher-order derivatives. Relevant connections of some of our results with the results obtained earlier are provided.

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