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Integral representations for the generalized Bedient polynomials and the generalized Cesàro polynomials |
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| Authors: | Shy-Der Lin |
| Affiliation: | a Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li 32023, Taiwan, ROC b Department of Mathematics, Tamkang University, Tamsui 25137, Taiwan, ROC c 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 hypergeometric 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 and the generalized Cesàro polynomials. 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. |
| Keywords: | Hypergeometric polynomials Multiple integral representations Gamma function Pochhammer&rsquo s symbol and the generalized hypergeomeirc function Eulerian beta integral Bedient polynomials and the generalized Bedient polynomials Cesà ro polynomials and the generalized Cesà ro polynomials |
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