논문KCI 등재
On the real roots of the q-Hurwitz zeta-function
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In this paper we will discuss the behaviour of the real roots of the q-Bernoulli polynomials βn,q(x) and q-Hurwitz zeta function ζq(s, x) for values of the index n by using computer.
Abstract
In this paper we will discuss the behaviour of the real roots of the q-Bernoulli polynomials βn,q(x) and q-Hurwitz zeta function ζq(s, x) for values of the index n by using computer.
참고문헌 (9)
- T. Kim, "Non-Archimedean integration", Advan. Stud. Contemp. Math, 7(2), pp.215~222 (2003)
- T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys, 9, pp.288~299 (2002)
- T. Kim, "Generalized Carlitz’s q-Bernoulli numbers in the p-adic number field", Advan. Stud. Contemp. Math, 2(1), pp.9~19 (2000)
- T. Kim, "Non-Arichimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials", Russ. J. Math. Phys, 10, pp.91~98 (2003)
- T. Kim, "Analytic continuation of multiple q-Zeta functions and their values at negative integers", Russ. J. Math. Phys, 11(1), pp.71~76 (2004)
- T. Kim, "On p-adic q-L-function and sums of powers", Discrete Math, 252, pp.179~187 (2002)
- T. Kim, "q-Riemann zeta function", Int. J. Math. Math. Sci, 9-12, pp.599~605 (2004)
- T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals, (English summary)", J. Number Theory, 76, pp.320~329 (1999)
- T. Kim, "A note on q-Volkenborn integration", Proc. Jangjeon Math. Soc, 8, pp.13~17 (2005)
관련 논문AI추천
On the structure of the zeroes of the twisted (h,q)-Genocchi polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호Calculating zeros of the twisted q-Genocchi polynomials김태균, 유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제3호Calculating zeros of the q-Euler polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2009 · 제12권 제2호Analytic continuation of weighted q-Genocchi numbers and polynomialsAynur Gursul, Mehmet Acikgoz, Serkan Araci대한수학회 · 대한수학회논문집2013 · 제28권 제3호A numerical computation on the structure of the roots of (h,q)-extension of Genocchi polynomials associated with p-adic q-integral on Zp유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호Calculating zeros of the twisted Genocchi polynomialsC. S. Ryoo장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제17권 제2호
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