Mapping Properties of Hypergeometric Functions and Convolutions of Starlike or Convex Functions of Order α

Author:

Küstner Reinhold

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference30 articles.

1. A. P. Acharya, Univalence Criteria for Analytic Functions and Applications to Hyper geometric Functions, PhD Thesis, University of Würzburg, Würzburg, 1997.

2. J. H. Choi, Y. C. Kim, and H. M. Srivastava, Convex and starlike generalized hyper-geometric functions associated with the Hardy space, Complex Variables Theory Appl. 31 4 (1996), 345–355.

3. C. F. Gauss, Disquisitiones generales circa seriem infinitam …, Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores 2 (1812), 1–46; reprint in C. F. Gauss, Werke, Band III, Königliche Gesellschaft der Wissenschaften zu Göttingen, Göttingen, 1876, 123–162.

4. G. Herglotz, Über die Nullstellen der hypergeometrischen Funktion, Ber. Sächs. Ges. Wissensch. Leipzig 69 (1917), 510–534.

5. A. Hurwitz, Über die Nullstellen der hypergeometrischen Funktion, Math. Ann. 64 (1907), 517–560.

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