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Extended stirling polynomials of the second kind and extended Bell polynomials

김대산|김택연|장광우
장전수학회 (Jangjeon Mathematical Society)|2017.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제20권 제3호|pp. 365-376|DOI 10.17777/pjms.2017.20.3.006

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참고문헌

키워드

Extended Stirling polynomials of the second kindextended Bell polynomials
주제분류수학

초록

Recently, several authors have studied the Stirling numbers of the second kind and Bell polynomials. In this paper, we study the extended Stirling polynomials of the second kind and the extended Bell polynomials associated with the Stirling numbers of the second kind. In addition, we note that the extended Bell polynomials can be expressed in terms of the moments of the Poisson random variable with parameter λ > 0.

Abstract

Recently, several authors have studied the Stirling numbers of the second kind and Bell polynomials. In this paper, we study the extended Stirling polynomials of the second kind and the extended Bell polynomials associated with the Stirling numbers of the second kind. In addition, we note that the extended Bell polynomials can be expressed in terms of the moments of the Poisson random variable with parameter λ > 0.

참고문헌 (16)

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관련 논문AI추천

ON THE EXTENSION OF DEGENERATE STIRLING POLYNOMIALS OF THE SECOND KIND AND DEGENERATE BELL POLYNOMIALS권혁인, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호Two variable degenerate Bell polynomials associated with poisson degenerate central moments김대산, 김태균, 김한영, 이현석장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호r-EXTENDED LAH-BELL NUMBERS AND POLYNOMIALS ASSOCIATED WITH r-LAH NUMBERS김대산, 김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제1호On partially degenerate Bell numbers and polynomials김대산, 김택연, DMITRY V. DOLGY장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호DEGENERATE COMPLETE BELL POLYNOMIALS AND NUMBERS김택연장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제4호ON DEGENERATE BELL POLYNOMIALS ASSOCIATED WITH SPECIAL NUMBERS AND POLYNOMIALS권종겸, 김대산, 김태균, UITAE PARK장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제3호

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