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On some α -convex functions.

Acu, Mugur, Al-Oboudi, Fatima, Darus, Maslina, Owa, Shigeyoshi, Polatog̃lu, Yaşar, Yavuz, Emel (2008)

International Journal of Open Problems in Computer Science and Mathematics. IJOPCM

On the order of convolution consistence of the analytic functions with negative coefficients

Grigore S. Sălăgean, Adela Venter (2017)

Mathematica Bohemica

Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.

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