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Linear functionals on the space of polynomials over Cp

T. Kim|H-I Kwon|D. S. Kim
장전수학회 (Jangjeon Mathematical Society)|2015.10|Advanced Studies in Contemporary Mathematics|제25권 제4호|pp. 591-604

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참고문헌

키워드

fermionic p-adic integrallinear functionalthe space of polynomials over CpVolkenborn p-adic integral
주제분류수학

초록

In this paper, we consider some linear functionals on the space of polynomials over Cp and investigate certain properties and identities involving special polynomials, Those linear functionals are related with Volkenborn and fermionic integrals on the ring of p-adic integers and remarkable connections between the two types of integrals are derived.

Abstract

In this paper, we consider some linear functionals on the space of polynomials over Cp and investigate certain properties and identities involving special polynomials, Those linear functionals are related with Volkenborn and fermionic integrals on the ring of p-adic integers and remarkable connections between the two types of integrals are derived.

참고문헌 (19)

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  17. L.C. Washington, "Graduate Texts in Mathematics, 83" (1997), Springer-Verlag
  18. E. T. Whittaker, "A course of modern analysis. An introduction to the general theory of infinite processes and of analytic functions; with on account of the principal transcendental functions" (1996), Cambridge Mathematical Library. Cambridge University Press
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관련 논문AI추천

NOTE ON λ-LINEAR FUNCTION ARISING FROM THE p-ADIC FERMIONIC INTEGRAL ON Zp김혜경, 이대식장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제2호Symmetry identities for Changhee polynomials arising from the fermionic p-adic integral on Zp김태균, 서종진, D. V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제2호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호DEGENERATE BERNOULLI POLYNOMIALS ASSOCIATED WITH p-ADIC INVARIANT INTEGRAL ON ZpT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호SYMMETRIC IDENTITIES FOR AN ANALOGUE OF CATALAN POLYNOMIALS김대산, 김태균, 서종진장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제3호Analytic properties of the q-Volkenborn integral on the ring ofp-adic integersMin-Soo KimJin-Woo Son대한수학회 · 대한수학회보2007 · 제44권 제1호

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