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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.27 No.2
- 발행연도
- 2017.1
- 수록면
- 199 - 212 (14page)
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초록· 키워드
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By using generating functions and p-adic integral methods, we study, survey, and investigate various properties of the special numbers and polynomials including the Bernoulli numbers and polynomials, the Euler numbers and polynomials, the Changhee numbers and polynomials, the Daehee numbers and polynomials, the Bernoulli numbers and polynomials of the second kind, the Stirling numbers, and the Catalan numbers. We define Apostol-type Daehee numbers and polynomials of higher order. We derive some properties, relations and identities on these numbers and polynomials. Finally, we give some applications of the p-adic Volkenborn integral including the special numbers and polynomials. We give some remarks and observations associated with the Bernoulli numbers, the Euler numbers, the Daehee numbers, and the Changhee numbers.
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참고문헌 (35)
참고문헌 신청
C.-H. Chang / 2006 / A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials / J. Math. Anal. Appl 315:758~767
C. A. Charalambides / 2002 / Ennumerative Combinatorics / Chapman&Hall/Crc, Press Company
J. Cigler / Fibonacci polynomials and central factorial numbers
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / Reidel
B. S. El-Desouky / New Results on higher-order Daehee and Bernoulli Numbers and polynomials
C. A. Charalambides / 2002 / Ennumerative Combinatorics / Chapman&Hall/Crc, Press Company
J. Cigler / Fibonacci polynomials and central factorial numbers
L. Comtet / 1974 / Advanced Combinatorics: The Art of Finite and Infinite Expansions / Reidel
B. S. El-Desouky / New Results on higher-order Daehee and Bernoulli Numbers and polynomials
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