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Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials

Waseem Ahmad Khan|Hiba Haroon
대한수학회 (The Korean Mathematical Society)|2018.04|대한수학회논문집 (Communications of the KMS)|제33권 제2호|pp. 651-669

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참고문헌

키워드

Hermite polynomialsdegenerate Bernoulli polynomialsdegenerate Hermite-Bernoulli polynomials$p$-adic integral
주제분류수학

초록

The article is themed to classify new (fully) degenerate \linebreak Hermite-Bernoulli polynomials with formulation in terms of $p$-adic \linebreak fermionic integrals on $\mathbb{Z}_p$. The entire paper is designed to illustrate new properties in association with Daehee polynomials in a consolidated and generalized form.

Abstract

The article is themed to classify new (fully) degenerate \linebreak Hermite-Bernoulli polynomials with formulation in terms of $p$-adic \linebreak fermionic integrals on $\mathbb{Z}_p$. The entire paper is designed to illustrate new properties in association with Daehee polynomials in a consolidated and generalized form.

참고문헌 (20)

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  8. 김태균, "ON THE IDENTITIES OF SYMMETRY FOR DEGENERATE BERNOULLI POLYNOMIALS OF ORDER r", Advanced Studies in Contemporary Mathematics, 25(4), pp.435~453 (2015), 장전수학회
  9. 김대산, "Barnes-type degenerate Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 25(1), pp.121~146 (2015), 장전수학회
  10. D. S. Kim, "Daehee numbers and polynomials", Appl. Math. Sci. (Ruse), 7(117-120), pp.5969~5976 (2013)
  11. D. S. Kim, "Some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on <TEX>$Z_p$<", TEX>, 2015, pp.26(4), 295~302
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관련 논문AI추천

DEGENERATE BERNOULLI POLYNOMIALS ASSOCIATED WITH p-ADIC INVARIANT INTEGRAL ON ZpT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호A note on degenerate Bell numbers and polynomials associated with p-adic integral on Zp권혁인, 김태균, 서종진, DMITY V. DOLGY장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호Partially degenerate poly-Bernoulli polynomials associated with Hermite polynomialsMoin Ahmad, WASEEM A. KHAN장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호Some identities of degenerate Genocchi polynomials임동규대한수학회 · 대한수학회보2016 · 제53권 제2호Modified degenerate Euler polynomials권혁인, 김태균, 서종진장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호

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