An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions |
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| Authors: | Mohammad Masjed-Jamei HM Srivastava |
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| Institution: | 1. Department of Mathematics, Faculty of Science, K. N. Toosi University of Technology, P. O. Box 1618, Tehran 16315-1618, Iran;2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada |
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| Abstract: | In this work, by using a special property in the integral representation of the remainder value of the Taylor series expansion, we introduce a new expansion for analytic functions. We also give several interesting consequences of this expansion formula as well as some practical examples in order to illustrate the subject presented here. |
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