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On certain multivalent functions.

Nunokawa, Mamoru, Owa, Shigeyoshi, Sekine, Tadayuki, Yamakawa, Rikuo, Saitoh, Hitoshi, Nishiwaki, Junichi (2007)

International Journal of Mathematics and Mathematical Sciences

On certain subclasses of analytic functions associated with the Carlson–Shaffer operator

Jagannath Patel, Ashok Kumar Sahoo (2015)

Annales UMCS, Mathematica

The object of the present paper is to solve Fekete-Szegö problem and determine the sharp tipper bound to the second Hankel determinant for a certain class ℛλ(a, c, A, B) of analytic functions in the unit disk. We also investigate several majorization properties for functions belonging to a subclass ℛλ(a, c, A, B) of ℛλ(a,c, A, B) and related function classes. Relevant connections of the main results obtained here with those given by earlier workers on the subject are pointed out.

On certain subclasses of analytic functions involving a linear operator

J. Patel, G. P. Mohapatra (2002)

Annales Polonici Mathematici

A certain general class 𝓢(a,c,A,B) of analytic functions involving a linear operator is introduced. The objective is to investigate various properties and characteristics of this class. Several applications of the results (obtained here) to a class of fractional calculus operators are also considered. The results contain some of the earlier work in univalent function theory.

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