On the subclassesof functions connected with some linear operators

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

Abstrakty

EN

The object of the present paper is to introduce two subclasses Bk,p (a, c) and Ck,p (a, c) of analytic functions in the open unit disc involving a linear operator [...] (a, c) and derive some properties of these classes.

Słowa kluczowe

EN

Hadamard product; linear operators; hypergeometric functions

PL

iloczyn Hadamarda; operatory linearne; funkcje hipergeometryczne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2001
• Tom: z. 25 [190]
• Strony: 151--165
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Patel J.

• Department of Mathematics Utkał University, Vani Vihar Bhubaneswar, India

autor

Sahoo P.

• Department of Mathematics Sonepur College, Sonepur Orissa, India

autor

Stankiewicz J.

• Department of Mathematics, Rzeszów University of Technology
• Institute of Mathematics University of Rzeszów

Bibliografia

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• [2] H. Saitoh, M. Nunokawa, On certain subclasses of analytic functions involving a linear operator, Surikaisekikenkyusho Kokyuroku, 963(1996), 97- 109.
• [3] H.M. Srivastava, S. Owa, Some charakterization and distortion theorems involving fractional calculus, Nagoya Math. J., 106(1987), 1-28.
• [4] I.S. Jack, Punctions starlike and convex of order α, J. London Math. Soc., 3(1971), 469-474.
• [5] S.S. Miller, Differential inequalities and caratheodory functions, Bull. Amer. Math. Soc., 81(1975), 79-81.
• [6] ---, P.T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl., 65(1978), 289-305.
• [7] S. Ruscheweyh, New criteria for univalent functions, PAMS, 49(1975), 109-115.