On a class of functions with negative coefficients

• Autorzy: Dziok J. , Trojnar-Spelina L.
• Języki publikacji: EN

Abstrakty

EN

Using the Carlson-Shaffer linear operator we introduce and study the class of analytic functions with negative coefficients. Coefficients estimates, distortion theorems and the radii of convexity and starlikeness for this class are given.

Słowa kluczowe

EN

mathematics subject classification

PL

klasyfikacja matematyczna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2006
• Tom: Vol. 28
• Strony: 41--48
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Dziok J.

autor

Trojnar-Spelina L.

• Institute of Mathematics Pedagogical University of Rzeszów ul. Rejtana 16A, 35-310 Rzeszów, Poland

Bibliografia

• [1] D.C. Carlson, D.B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal., 15 (1984), 737-745.
• [2] J. Dziok, Classes of functions defined by certain differential-integral operator, J. of Comp. and Appl. Math. 105(1999), 245-255.
• [3] J. Dziok, Claases of p-valent analytic functions with fixed argument of coefficients, Demonstratio Math. 33(2000), 55-63.
• [4] J. Dziok, H. M. Srivastava, Certain subclasses of analytic functions associatated with the generalized hypergeometric function,Integral Transform. Spec. Funct. 14(2003), 7-18.
• [5] J. Dziok, H. M. Srivastava, Classes of analytic functions associated with the qeneralized hypergeometric function, Appl. Math. Comput. 103(1999), 1-13.
• [6] Y.C. Kim and H.M. Srivastava, Fractional integral and other linear operators associated with the Gaussian hypergeometric function, Complex Variables Theory Appl. 34(1997), 293-312.
• [7] J. Stankiewicz, L. Trojnar-Spelina, Some parametric family of functions, Folia Sci. Univ. Resov. 14 (1992), 45-54.
• [8] L. Trojnar-Spelina, The classes of functions defined by a differential operators, Folia Sci. Univ. Resov. 18 (1995), 37-48.