Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
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In this paper, we derive five basic identities for Sheffer polynomials by using generalized Pascal functional and Wronskian matrices. Then we apply twelve basic identities for Sheffer polynomials, seven from previous results, to degenerate Bernoulli polynomials and Korobov polynomials of the first kind and get some new identities. In addition, letting λ → 0 in such identities gives us those for Bernoulli polynomials and Bernoulli polynomials of the second kind.
Keywordsgeneralized Pascal functional matrix Wronskian matrix degenerate Bernoulli polynomial Krobov polynomial of the first kind
MSC(2010)05A19 05A40 11B83
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This work was supported by the Research Grant of Kwangwoon University in 2018. The authors thank the referees for their valuable suggestions which improved the original manuscript greatly.
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