On generalization of some classes of Salagean-type multivalent harmonic functions

• Autorzy: Atshan W. G. , Kulkarni S. R.
• Konferencja: Informatics and Related Fields / XIV International Conference on Mathematics (XIV ; 7-11.11.2008 ; Ustrzyki Dolne, Polska)
• Języki publikacji: EN

Abstrakty

EN

In the present paper, we make generalization of the classes in [7] of Salagean-Type multivalent harmonic functions. We introduce sufficient coefficient condition for the class [wzór] and this condition be also necessary if certain restriction is imposed on the coefficients of these harmonic functions. Also we have obtained a representation theorem, inclusion relations and distortion bounds for these functions.

Słowa kluczowe

EN

multivalent harmonic functions; Salagean derivative operator; inclusion relations; distortion bounds; representation theorem

PL

funkcja harmoniczna; teoria reprezentacji

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2009
• Tom: Vol. 31
• Strony: 7--18
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Atshan W. G.

autor

Kulkarni S. R.

• Department of Mathematics College of Computer Science and Mathematics University of AL-Qadisiya Diwaniya - Iraq Waggas Galib is a Faculty Member of Al-Qadisiya University, Iraq,

Bibliografia

• [1] O. P. Ahuja and J. M. Jahangiri, Multivalent harmonic starlike functions, Ann.Univ. Marie Curie - Sklodowska, Sect. A, 55 (2001), 1-13.
• [2] On a linear combination of classes of multivalently harmonic functions, Kyungpook Math. J. 42 (2002), 61-70.
• [3] J. Clunie and T. Sheil-Small, Harmonic univalent functions, Ann.Acad. Sci. Fenn. Ser. A. I Math. 9 (1984), 3-25.
• [4] J. M. Jahangiri, G. Murugusundaramoorthy and K. Vijaya, Salagean-type harmonic univalent functions, Southwest J. Pure Appl. Math., 2 (2002), 77-82.
• [5] H. Lewy, On the non-vanishing of the Jacobian in certain one-to-one mappings, Bull. Amer. Math. Soc., 42 (1936), 689-710.
• [6] G. S. Salagean, Subclasses of univalent harmonic functions, Complex Analysis - Fifth Romanian Finish Seminar, Bucharest, 1 (1981), 362-372.
• [7] S. Yalcin, H. Bostanci and M. Ozturk, New classes of Salagean-type multivalent harmonic functions, Mathematica, Tome 48 (71), No. 1, 2006, 111-118.