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Ayhan Dil

  1. Polynomials Related to Harmonic Numbers and Evaluation of Harmonic Number Series II.

    Пт, 02/05/2010 - 16:01 — SomNambul
    Authors: Ayhan Dil, Veli Kurt
    Subjects: Number Theory
    Abstract

    In this paper we focus on r-geometric polynomials, r-exponential polynomials
    and their harmonic versions. It is shown that harmonic versions of these
    polynomials and their generalizations are useful to obtain closed forms of some
    series related to harmonic numbers.

  2. Harmonic- Fubini and harmonic- Bell Polynomials and Their Generalizations.

    Чт, 12/10/2009 - 16:01 — SomNambul
    Authors: Ayhan Dil, Veli Kurt
    Subjects: Number Theory
    Abstract

    In this paper we study on two new families of polynomials which are connected
    with single variable Bell polynomials b_{n}(x) and Fubini polynomials F_{n}(x).
    We discuss their generalizations as well. It is shown that these new families
    of polynomials and their generalizations are useful to obtain closed forms of
    some series related to harmonic numbers.

  3. Investigating Fubini and Bell Polynomials with Euler-Seidel Algorithm.

    Ср, 08/19/2009 - 19:30 — SomNambul
    Authors: Ayhan Dil, Veli Kurt
    Subjects: Number Theory
    Abstract

    In this paper we use Euler-Seidel matrices method to find out some
    interesting results of Fubini and Bell polynomials and numbers. Some known
    results reproved with Euler-Seidel method and some new result obtained.

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