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Volume 10, Issue 1, Article 14 |
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Some Results Associated With Fractional Calculus Operators Involving Appell Hypergeometric Function
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Authors: |
R.K. Raina, |
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Keywords:
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Analytic functions, Hardy space, Fractional derivatives and fractional integrals, Appell hypergeometric function, Inclusion relation. |
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Date Received:
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14/08/08 |
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Date Accepted:
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11/01/09 |
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Subject Codes: |
26A33, 30C45.
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Editors: |
Hari M. Srivastava, |
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Abstract: |
A class of fractional derivative operators (with the Appell hypergeometric function in the kernel) is used here to define a new subclass of analytic functions and a coefficient bound inequality is established for this class of functions. Also, an inclusion theorem for a class of fractional integral operators involving the Hardy space of analytic functions is proved. The concluding remarks briefly mentions the relevances of the main results and possibilities of further work by using these new classes of fractional calculus operators.
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