New coefficient conditions for the starlikeness of analytic functions and their applications

• Autores: I.R. Nezhmetdinov, Saminathan Ponnusamy
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 31, Nº 2, 2005, págs. 587-604
• Idioma: inglés
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• Resumen

  • We obtain some tests for the starlikeness of analytic functions in terms of their Taylor coefficients. This leads to an improvement of several relevant results about hypergeometric functions. The approach is extended for other well-known subclasses of univalent functions