Properties of a class of analytic functions involving a linear operator

• Autorzy: Patel J. , Sahoo P.
• Języki publikacji: EN

Słowa kluczowe

EN

starlike; convex; linear operator; convolution; subordination; hypergeometric function

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 3
• Strony: 495--507
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Patel J.

• Department of Mathematics, Utkal University, Vani Vihar, Bhubaneswar-751004, India

autor

Sahoo P.

• Department of Mathematics, Sonepur College, Sonepur, Orissa-767017, India

• Department of Mathematics Utkal University Vani Vihar Bhubaneswar-751004, India,

Bibliografia

• [1] S. D. Bernardi, Convex and starlike univalent functions, Trans. Amer. Math. Soc. 135 (1969), 429-446.
• [2] B. C. Carlson and S. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745.
• [3] Y. Dinggong, Properties of a class of analytic functions, Math. Japonica 41, (1995), 371-381.
• [4] S. Fukui, J. A. Kim and H. M. Srivastava, On a certain subclass univalent functions by some integral operators, Math. Japonica 50 (1999), 359-370.
• [5] Ζ. Janowski, Some extremal problems for certain families of analytic functions, Ann. Polon. Math. 28 (1973), 297-326.
• [6] S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), 157-171.
• [7] Z. Nehari, Conformal Mapping, McGraw-Hill, New York, 1952.
• [8] S. Ruscheweyh, New criterion for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.
• [9] R. Singh and S. Singh, Convolution properties of a class of starlike functions, Proc. Amer. Math. Soc. 106 (1989), 145-152.
• [10] Ε. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th Edition (Reprinted), Cambridge University Press, Cambridge 1927.
• [11] Z. Zhongzhu and S. Owa, Convolution properties of a class of bounded analytic functions, Bull. Austral. Math. Soc. 45 (1992), 9-23.