On a class of meromorphic functions defined by the convolution

• Autorzy: Dziok J. , Sokół J. , Stankiewicz J.

Identyfikatory

DOI

10.7862/rf.2015.5

• Języki publikacji: EN

Abstrakty

EN

In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and starlikeness and convolution properties for the defined class of functions.

Słowa kluczowe

EN

meromorphic functions; fixed argument; subordination; convolution

PL

funkcja meromorficzna; podrzędność; splot

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2015
• Tom: Vol. 38
• Strony: 59--70
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Dziok J.

• Faculty of Mathematics and Natural Sciences, University of Rzeszów, 35-310 Rzeszów, Poland

autor

Sokół J.

• Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

autor

Stankiewicz J.

• Department of Mathematics, Rzeszów University of Technology, Al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

Bibliografia

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• [4] J. Dziok, J. Stankiewicz, On a class of p-valent analytic functions with fixed argument of coefficients defined by fractional calculus, Folia Scient. Univ. Tech. Resov. 21(1997), 19-35.
• [5] J. Stankiewicz. J. Waniurski, Some classes of univalent functions subordinate to linear transformation and their applications, Ann. Univ. Mariae Curie-Sk lodowska, 1974, 9:85-94.
• [6] W. Rogosiński, On the coefficients of subordinate functions, Proc. Lond. Math. Soc., 1943, 48:48-82.
• [7] J. E. Littlewood, On inequalities in theory of functions, Proc. London Math. Soc., 1925, 23:481-519.
• [8] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 1975, 51:109-116.
• [9] H. Silverman, A survey with open problems on univalent functions whose coefficients are negative, Rocky Mountain J. Math., 1991, 21:1099-1125.
• [10] H. Silverman, Integral means for univalent functions with negative coefficients, Houston J. Math., 1997, 23:169-174.