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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.28 No.3
- 발행연도
- 2018.1
- 수록면
- 487 - 496 (10page)
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초록· 키워드
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In this paper, we derive generating functions for the partially degenerate Hermite poly-Bernoulli polynomials and investigate some properties of these polynomials related to the Stirling numbers of the second kind. Further, we derive the summation formulae and general symmetry identities for that polynomials by using different analytical means on its generating function. Also, generating functions and summation formulae for the polynomials related to partially degenerate Hermite poly- Bernoulli polynomials are obtained as applications of main results.
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참고문헌 (16)
참고문헌 신청
Andrews, L. C / 1985 / Special functions for engineers and mathematicians / Macmillan Co.
Bell, E. T / 1934 / Exponential polynomials / Ann. of Math. 35:258~277
Carlitz, L / 1979 / Degenerate Stirling Bernoulli and Eulerian numbers / Util. Math. 15:51~88
Dattoli, G / 1999 / Finite sums and generalized forms of Bemoulli polynomials / Rendiconti di Mathematica 19:385~391
Jolany, H / 2011 / Some results on generalized multi-poly Bemoulli and Euler polynomials / Int. J. Math. Comb. 2:117~129
Bell, E. T / 1934 / Exponential polynomials / Ann. of Math. 35:258~277
Carlitz, L / 1979 / Degenerate Stirling Bernoulli and Eulerian numbers / Util. Math. 15:51~88
Dattoli, G / 1999 / Finite sums and generalized forms of Bemoulli polynomials / Rendiconti di Mathematica 19:385~391
Jolany, H / 2011 / Some results on generalized multi-poly Bemoulli and Euler polynomials / Int. J. Math. Comb. 2:117~129
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