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Taekyun Kim

  1. Euler number and polynomials of higher order.

    Втр, 01/12/2010 - 16:01 — SomNambul
    Authors: Taekyun Kim
    Subjects: Number Theory
    Abstract

    In this paper we study the higher-order Euler numbers and polynomials and we
    introduce the mutiple zeta functions which interpolate higher-order Euler
    polynomials and numbers at negative integers

  2. Barnes type multiple q-zeta functions and q-Euler polynomials.

    Чт, 12/31/2009 - 16:01 — SomNambul
    Authors: Taekyun Kim
    Subjects: Number Theory
    Abstract

    The Barnes multiple zeta function is useful to study in the number theory and
    Knot thoey and Mathematical Physics. In this paper we consider q-extension of
    Barnes type multiple zeta function and we also construct the q-extension of
    Euler polynomials of higher order

  3. q-Euler numbers and polynomials associated with multiple q-zeta functions.

    Пт, 12/25/2009 - 16:01 — SomNambul
    Authors: Taekyun Kim
    Subjects: Number Theory
    Abstract

    The purpose this paper is to present a systemic study of some families of
    multiple q-Euler numbers and polynomials and we construct multiple q-zeta
    function which interpolates multiple q-Euler numbers at negative integers.

  4. On the q-extension of higher-order Euler polynomials.

    Пт, 12/25/2009 - 16:01 — SomNambul
    Authors: Taekyun Kim
    Subjects: Number Theory
    Abstract

    Thw purpose of this paper is to present a systemic study of some families of
    the generalized q-Euler numbers and polynomials of higher order.

  5. A note on the generalized q-Euler numbers(2).

    Пт, 10/16/2009 - 04:10 — SomNambul
    Authors: Taekyun Kim, Kyoung-Ho Park, Young-Hee Kim
    Subjects: Number Theory
    Abstract

    In this paper we study the genralized q-Euler numbers and polynomials. From
    our results, we derive some interesting congruences related tothe generalized
    q-Euler numbers.

  6. Lebesque-Radon-Nikodym theorem with respect to p-adic invariant measure on Zp.

    Ср, 09/02/2009 - 12:02 — SomNambul
    Authors: Taekyun Kim
    Subjects: Number Theory
    Abstract

    In this paper we derive the analogue of Lebesque-Radon Nikody theorem with
    respect to fermionic p-adic invariant measures on Zp

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