Subclass of Harmonic Univalent Functions Associated with the Derivative Operator FULL TEXT
Subclass of Harmonic Univalent Functions Associated with the Derivative Operator FULL TEXT
___
- Ahuja, O. P. Planar harmonic univalent and related mappings, J. Inequal. Pure Appl. Math. 6 (4), Art. 122, 1–18, 2005.
- Al-Shaqsi, K. and Darus, M. On harmonic functions defined by derivative operator, Journal of Inequalities and Applications, Art. ID 263413, 1–10, 2008.
- Al-Shaqsi, K. and Darus, M. An operator defined by convolution involving the polyloga- rithms functions, Journal of Math. and Stat. 4 (1), 46–50, 2008.
- Clunie, J. and Sheil-Small, T. Harmonic univalent functions, Ann. Acad. Sci. Fen. Series AI Math. 9 (3), 3–25, 1984.
- Duren, P. Harmonic Mappings in the Plane (Cambridge Univ. Press, Cambridge, UK, ). Jahangiri, J. M. Harmonic functions starlike in the unit disc, J. Math. Anal. Appl. 235, –477, 1999.
- Jahangiri, J. M., Murugusundaramoorthy, G. and Vijaya, K. Salagean-type harmonic uni- valent functions, Southwest J. Pure Appl. Math. 2, 77–82, 2002.
- Murugusundaramoorthy, G. and Vijaya, K. On certain classes of harmonic univalent func- tions involving Ruscheweyh derivatives, Bull. Cal. Math. Soc. 96 (2), 99–108, 2004.
- Ponnusamy, S. and Rasila, A. Planar harmonic mappings, RMS Mathematics Newsletter (2) (2007), 40–57, 2007.
- Rosy, T., Stephen, B. A., Subramanian, K. G. and Jahangiri, J. M. Goodman-Ronning-type harmonic univalent functions, Kyungpook Math. J. 41 (1), 45–54, 2001.
- Ruscheweyh, S. Neighborhoods of univalent functions, Proc. Amer. Math. Soc. 81, 521–528, Ruscheweyh, S. Convolutions in Geometric Function Theory (Les Presses de I Universite de Montreal, 1982).
- Sheil-Small, T. Constants for planar harmonic mappings, J. London Math. Soc. 2 (42), –248, 1990.
- Silverman, H. Harmonic univalent functions with negative coefficients, J. Math. Anal. Appl. 220, 283–289, 1998.
- Silverman, H. and Silvia, E. M. Subclasses of harmonic univalent functions, New Zealand J. Math. 28, 275–284, 1999.
- Srivastava, H. M. and Owa, S. Current Topics in Analytic Function Theory (World Scien- tific Publishing Company, Singapore, 1992).