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A new class of Laguerre poly-Bernoulli numbers and polynomials
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In this paper, we introduce a new class of Laguerre poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. We derive some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.
Abstract
In this paper, we introduce a new class of Laguerre poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. We derive some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions.
참고문헌 (15)
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- 김태균, "SOME IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(1), pp.23~28 (2010), 장전수학회
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관련 논문AI추천
Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomialsMoin Ahmad, WASEEM A. KHAN장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호A NEW CLASS OF PARTIALLY DEGENERATE LAGUERRE-BASED HERMITE-GENOCCHI POLYNOMIALSDIVESH SRIVASTAVA, M. GHAYASUDDIN, Waseem A. Khan장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제1호Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomialsDan Ding, Jizhen Yang장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제1호Some identities of symmetry for stirling polynomials김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호Relations between generalized Hermite-based Apostol-Bernoulli, Euler and Genocchi polynomialsA. Chaturvedi, Parkriti Rai장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제1호On the Hermite based Genocchi polynomialsBURAK KURT, YILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호
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