Coefficient conditions for univalency and starlikeness of analytic functions

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

Abstrakty

EN

In this paper, we find conditions on the coefficients {a(k)} such that the corresponding analytic function f(z) and its partial sum fn(z) are close-to-convex with respect to some starlike function in the unit disc D. We also find conditions on these coefficients so that the analytic function is starlike univalent in D. As an application, we find conditions on the triplet (a, b, c) so that, the normalized Gaussian hypergeometric function and its particular cases, are in one of these classes.

Słowa kluczowe

EN

close-to-convex functions; starlike function; Cesaro means; Gaussian hypergeometric function

PL

funkcja gwiaździsta; funkcja hipergeometryczna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2009
• Tom: Vol. 31
• Strony: 77--90
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Mondal S. R.

autor

Swaminathan A.

• Department of Mathematics, Indian Institute of Technology, Roorkee 247 667 Uttarkhand, India,

Bibliografia

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