Multinomial convolution polynomials
نویسنده
چکیده
In 9] Knuth shows how to derive the convolution formulas of Ha-gen, Rothe and Abel from Vandermonde's convolution or binomial theorem for integer exponents. In the present paper, we shall rst present a short and elementary proof of the multi-extension of the above con-volution formulas, due to Raney and Mohanty. In the second part we shall present a multi-version of Knuth's approach to convolution polynomials and derive another short proof of the above formulas.
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عنوان ژورنال:
- Discrete Mathematics
دوره 160 شماره
صفحات -
تاریخ انتشار 1996