q-Taylor and interpolation series for Jackson q-difference operators |
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Authors: | MH Annaby ZS Mansour |
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Institution: | Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt |
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Abstract: | We prove q-Taylor series for Jackson q-difference operators. Absolute and uniform convergence to the original function are proved for analytic functions. We derive interpolation results for entire functions of q-exponential growth which is less than lnq−1, 0<q<1, from its values at the nodes , a is a non-zero complex number with absolute and uniform convergence criteria. |
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Keywords: | q-Taylor series Jackson q-difference operator |
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