Polynomials orthogonal with respect to discrete convolution |
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| Authors: | Waleed A Al-Salam Mourad EH Ismail |
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| Institution: | Department of Mathematics, University of Alberta, Edmonton, Canada;Department of Applied Mathematics, McMaster University, Hamilton, Ontario, Canada |
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| Abstract: | The concept of “Discrete Convolution Orthogonality” is introduced and investigated. This leads to new orthogonality relations for the Charlier and Meixner polynomials. This in turn leads to bilinear representations for them. We also show that the zeros of a family of convolution orthogonal polynomials are real and simple. This proves that the zeros of the Rice polynomials are real and simple. |
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