On the Evaluation of Multifold Convolutions of Polynomials Using Difference and Shift Operators
Received:April 20, 2015  Revised:July 08, 2015
Key Words: convolved polynomial sum   difference operator   classical special polynomial   symbolic computation  
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Leetch C. HSU School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China 
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      Here concerned and further investigated is a certain operator method for the computation of convolutions of polynomials. We provide a general formulation of the method with a refinement for certain old results, and also give some new applications to convolved sums involving several noted special polynomials. The advantage of the method using operators is illustrated with concrete examples. Finally, also presented is a brief investigation on convolution polynomials having two types of summations.
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