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On a new subclass of Ruscheweyh-type harmonic multivalent functions

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Yaşar, Elif
Yalçın, Sibel

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Springer

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Abstract

We introduce a certain subclass of harmonic multivalent functions defined by using a Ruscheweyh derivative operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent functions. We also derive inclusion relationships involving the neighborhoods of harmonic multivalent functions belonging to this subclass.

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Mathematics, Harmonic, Multivalent, Ruscheweyh derivative operator, Neighborhood, P-valent functions, Univalent-function, Negative coefficients, Neighborhoods

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Yaşar, E. ve Yalçın, S. (2013). “On a new subclass of Ruscheweyh-type harmonic multivalent functions”. Journal of Inequalities and Applications, 2013.

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