q-Extensions of identities of Abel-Rothe
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Warren P. Johnson
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Article
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1996
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Elsevier Science
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English
⚖ 629 KB
The ordinary binomial theorem may be expressed in the statement that the polynomials x" are of binomial type. Several generalizations of the binomial theorem can be stated in this form. A particularly nice one, essentially due to Rothe, is that the polynomials a,(x; h,w)= ## x(x+h+nw)(x+2h+nw)...(x