On finite-times degenerate Cauchy numbers and polynomials
Cauchy polynomials are also called Bernoulli polynomials of the second kind and these polynomials are very important to study mathematical physics. Kim et al. have studied some properties of Bernoulli polynomials of the second kind associated with special polynomials arising from umbral calculus. Ki...
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Veröffentlicht in: | Advances in difference equations 2015-10, Vol.2015 (1), p.1-12, Article 321 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | Cauchy polynomials are also called Bernoulli polynomials of the second kind and these polynomials are very important to study mathematical physics. Kim
et al.
have studied some properties of Bernoulli polynomials of the second kind associated with special polynomials arising from umbral calculus. Kim introduced the degenerate Cauchy numbers and polynomials which are derived from the degenerate function
e
t
. In this paper, we try to degenerate Cauchy numbers and polynomials
k
-times and investigate some properties of these
k
-times degenerate Cauchy numbers and polynomials. |
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ISSN: | 1687-1847 1687-1839 1687-1847 |
DOI: | 10.1186/s13662-015-0663-8 |