논문KCI 등재
A note on p-adic invariant integral in the rings of p -adic integers
1
조회
0
다운로드
3
인용
0
참고문헌
주제분류수학
초록
Abstract
In [2], I constructed the p-adic q-integral Iq(f) on Zp. In this paper, we consider the properties of limq! 1 Iq(f) = I 1(f):Finally we give the some applications of I 1(f) and integral equations for I 1(f). These properties are useful and worthwhile to study Euler numbers and polynomials.
참고문헌 (4)
- Kim, T., "q-Volkenborn integration", Russ. J. Math. Phys., 9, pp.288~299 (2002)
- Kim, T., "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
- Kim, T, "An analogue of Bernoulli numbers and their congruences", Rep. Fac. Sci. Engrg. Saga Univ. Math., 22, pp.21~26 (1994)
- Kim, T, "p-adic l-functions and sums of powers (arXiv:math.NT", 0605703 1), 2006, ~
관련 논문AI추천
A note on p -adic q -Euler measureH. Ozden, I. Cang？l, S.-H. Rim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호Analytic properties of the q-Volkenborn integral on the ring ofp-adic integersMin-Soo KimJin-Woo Son대한수학회 · 대한수학회보2007 · 제44권 제1호A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 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 제3호On a $q$-analogue of the $p$-adic generalized twisted $L$-functions and $p$-adic $q$-integrals장이채대한수학회 · 대한수학회지2007 · 제44권 제1호Some basic theorems of calculus on the field of p-adic numbers정필웅, Huanping Liu, Minggen Cui한국수학교육학회 · 이론수학과 교직수학2005 · 제12권 제2호
이 간행물의 다른 논문 (12건)
On a nonlinear system of functional difference equations with nonlinear complicated mixed maximaT. K. Yuldashevpp. 1-4Integer programming in an algebraic computation modelValentin E. Brimkov, Stefan S. Dantchevpp. 5-20On a class of conjectures equivalent to the strong Goldbach's conjecturePeter Vassilevpp. 21-26A linear operator and associated families of meromorphically multivalent functions of order aM. K. Aouf, H. M. Srivastavapp. 27-56A refinement of Carleman's inequalityJ. Cao, D.-W. Niu, F. Qipp. 57-62