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Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations |
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| Authors: | Shy-Der Lin Shuoh-Jung Liu Han-Chun Lu Hari Mohan Srivastava |
| Affiliation: | 1. Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, 32023, Taiwan, Republic of China 2. Center for General Education, Mackay Medicine, Nursing and Management College, Taipei City, 11260, Taiwan, Republic of China 3. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, V8W 3R4, Canada |
| Abstract: | The main object of this paper is to investigate several general families of hyper-geometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials of the first and second kinds. Each of the integral representations, which are derived in this paper, may be viewed also as a linearization relationship for the product of two different members of the associated family of hypergeometric polynomials. |
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