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Representations by degenerate Bernoulli polynomials arising from Volkenborn integral.
- Source :
-
Mathematical Methods in the Applied Sciences . 7/30/2022, Vol. 45 Issue 11, p6615-6634. 20p. - Publication Year :
- 2022
-
Abstract
- In this paper, we consider the problem of representing any polynomial in terms of the degenerate Bernoulli polynomials arising from Volkenborn integral and more generally of the higher‐order degenerate Bernoulli polynomials arising from iterated Volkenborn integral. We derive explicit formulas with the help of umbral calculus and illustrate our results with some examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BERNOULLI polynomials
*ITERATED integrals
*INTEGRALS
*CALCULUS
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 45
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 157330792
- Full Text :
- https://doi.org/10.1002/mma.8195