2009Journal of Mathematics and StatisticsRequires access

Fractional Calculus for Certain Integral Operator Involving Logarithmic Coefficients

Aabed Mohammed, Maslina Darus, Daniel Breaz

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Abstract

Abstract: Problem statement: Some properties of certain integral operators on some subclasses were studied. Approach: Certain classes defined by integral operators were introduced. The well known definitions and preliminaries results were stated. Results: Having new integral operator, the characterization problems were discussed. Thus sufficient conditions were given. Conclusion: Therefore, by having new integral operators, sufficient conditions were determined. In fact, other properties from this class could be obtained. Key words: Univalent functions, fractional calculus, logarithmic coefficients, integral operators

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Abstract: Problem statement: Some properties of certain integral operators on some subclasses were studied. Approach: Certain classes defined by integral operators were introduced. The well known definitions and preliminaries results were stated. Results: Having new integral operator, the characterization problems were discussed. Thus sufficient conditions were given. Conclusion: Therefore, by having new integral operators, sufficient conditions were determined. In fact, other properties from this class could be obtained. Key words: Univalent functions, fractional calculus, logarithmic coefficients, integral operators

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Available abstract

Abstract: Problem statement: Some properties of certain integral operators on some subclasses were studied. Approach: Certain classes defined by integral operators were introduced. The well known definitions and preliminaries results were stated. Results: Having new integral operator, the characterization problems were discussed. Thus sufficient conditions were given. Conclusion: Therefore, by having new integral operators, sufficient conditions were determined. In fact, other properties from this class could be obtained. Key words: Univalent functions, fractional calculus, logarithmic coefficients, integral operators

Key concepts: Mathematics, Fractional calculus, Calculus (dental), Logarithm, Operator (biology), Applied mathematics, Mathematical analysis, Pure mathematics

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