Abdulhadi, Z.; Muhanna, Y. Abu Integral means and arc length of starlike log-harmonic mappings. (English) Zbl 1213.30005 Abstr. Appl. Anal. 2011, Article ID 193184, 7 p. (2011). Summary: We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings. MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) Keywords:starlike log-harmonic mapping; integral means PDF BibTeX XML Cite \textit{Z. Abdulhadi} and \textit{Y. A. Muhanna}, Abstr. Appl. Anal. 2011, Article ID 193184, 7 p. (2011; Zbl 1213.30005) Full Text: DOI EuDML OpenURL References: [1] Z. Abdulhadi and D. Bshouty, “Univalent functions in HH\?,” Transactions of the American Mathematical Society, vol. 305, no. 2, pp. 841-849, 1988. · Zbl 0661.30017 [2] Z. Abdulhadi, “Close-to-starlike logharmonic mappings,” International Journal of Mathematics and Mathematical Sciences, vol. 19, no. 3, pp. 563-574, 1996. · Zbl 0921.30014 [3] Z. Abdulhadi, “Typically real logharmonic mappings,” International Journal of Mathematics and Mathematical Sciences, vol. 31, no. 1, pp. 1-9, 2002. · Zbl 1010.30016 [4] Z. Abdulhadi and W. Hengartner, “Spirallike logharmonic mappings,” Complex Variables. Theory and Application. An International Journal, vol. 9, no. 2-3, pp. 121-130, 1987. · Zbl 0643.30011 [5] Z. Abdulhadi and W. Hengartner, “One pointed univalent logharmonic mappings,” Journal of Mathematical Analysis and Applications, vol. 203, no. 2, pp. 333-351, 1996. · Zbl 0864.30037 [6] A. Baernstein, II, “Integral means, univalent functions and circular symmetrization,” Acta Mathematica, vol. 133, pp. 139-169, 1974. · Zbl 0315.30021 [7] P. L. Duren, Univalent Functions, vol. 259 of Grundlehren der Mathematischen Wissenschaften, Springer, New York, NY, USA, 1983. · Zbl 0514.30001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.