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SOME IDENTITIES OF THE DEGENERATE BERNOULLI POLYNOMIALS OF THE SECOND KIND ARISING FROM λ-SHEFFER SEQUENCES

권종겸|김병문|박진우
장전수학회 (Jangjeon Mathematical Society)|2021.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제24권 제3호|pp. 323-342|DOI 10.17777/pjms.2021.24.3.006

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참고문헌

키워드

umbral calculusλ-Sheffer sequences
주제분류수학

초록

Korobov introduced the fi rst degenerate version of the Bernoulli polynomials of the second kind called Bernoulli polynomials of the second kind. Recently, degenerate versions of such polynomials as Bernoulli polynomials, Euler polynomials and Genocchi polynomials and so on were introduced by the many researchers. The aim of this paper is to represent the degenerate Bernoulli polynomials of the second kind by other polynomials using the λ-umbral calculus.

Abstract

Korobov introduced the fi rst degenerate version of the Bernoulli polynomials of the second kind called Bernoulli polynomials of the second kind. Recently, degenerate versions of such polynomials as Bernoulli polynomials, Euler polynomials and Genocchi polynomials and so on were introduced by the many researchers. The aim of this paper is to represent the degenerate Bernoulli polynomials of the second kind by other polynomials using the λ-umbral calculus.

참고문헌 (21)

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SOME IDENTITIES OF DEGENERATE POLY-q-BERNOULLI AND POLY-q-EULER POLYNOMIALS ARISING FROM λ -q-SHEFFER SEQUENCES김대산, 김태균, 김혜경장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제3호Barnes-type degenerate Bernoulli polynomials김대산, D. V. Dolgy, T. Kim, T KOMATSU장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제1호A NOTE ON DEGENERATE BERNOULLI POLYNOMIALS ARISING FROM UMBRAL CALCULUS박진우, 표성수장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호DEGENERATE DAEHEE POLYNOMIALS OF THE SECOND KIND권혁인, 김대산, 김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제1호A note on type 2 degenerate multi-poly-Bernoulli polynomials of the second kindM. KAMARUJJAMA, Waseem A. Khan장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제1호SOME PROPERTIES OF GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS AND NUMBERS권종겸, 김원주, Lee-Chae Jang장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호

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