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Properties of functions concerned with Caratheodory functions

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Nunokawa M., Duman E. Y., Owa S.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

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2013

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tom 67

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nr 2

EN

Let \(\mathcal{P}_n\) denote the class of analytic functions \(p(z)\) of the form \(p(z)=1+c_nz^n+c_{n+1}z^{n+1}+\dots\) in the open unit disc \(\mathbb{U}\). Applying the result by S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65 (1978), 289-305), some interesting properties for \(p(z)\) concerned with Caratheodory functions are discussed. Further, some corollaries of the results concerned with the result due to M. Obradovic and S. Owa (Math. Nachr. 140 (1989), 97-102) are shown.

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Hardy class of functions defined by the Salagean operator

100%

Niwa N., Jimbo T., Owa S.

Annales Polonici Mathematici

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1998

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tom 69

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nr 1

25-30

EN

We derive some properties of the Hardy class of analytic functions defined by the Salagean operator.

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Some inequalities involving multivalent functions

100%

Owa S., Nunokawa M., Saitoh H.

Annales Polonici Mathematici

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1994-1995

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tom 60

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nr 2

159-162

EN

The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].

Ograniczanie wyników

2 Annales Polonici Mathematici

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

3 Owa S.

2 Nunokawa M.

1 Duman E. Y.

1 Jimbo T.

1 Niwa N.

1 Saitoh H.

1 2013

1 1998

1 1994

Properties of functions concerned with Caratheodory functions

Hardy class of functions defined by the Salagean operator

Some inequalities involving multivalent functions