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Degenerate Bernstein Polynomials

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 نشر من قبل Taekyun Kim
 تاريخ النشر 2018
  مجال البحث
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Here we consider the degenerate Bernstein polynomials as a degenerate version of Bernstein polynomials, which are motivated by Simseks recent work Generating functions for unification of the multidimensional Bernstein polynomials and their applications([15,16]) and Carlitzs degenerate Bernoulli polynomials. We derived thier generating function, symmetric identities, recurrence relations, and some connections with generalized falling factorial polynomials, higher-order degenerate Bernoulli polynomials and degenerate Stirling numbers of the second kind.

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