1,720,961 research outputs found
polycosecant数が持つdualityのある一般化について (多重ゼータ値の諸相)
Get PDFpolycosecant数，polycotangent数はpoly-Bernoulli数のレベル2類似の一つとして定義された数列である．本稿では，polycosecant数， polycotangent数がもつ， poly-Bernoulli数に類似する性質，またpolycosecant数が持つdualityの一般化となる性質を持つ数列について述べる
On generalization of duality formulas for the Arakawa-Kaneko type zeta functions (Analytic Number Theory and Related Topics)
No full textKaneko and Tsumura introduced the Arakawa-Kaneko type zeta function η(-₁, ..., -ᵣ; ₁, ..., ᵣ) for non-negative integers ₁, ..., ᵣ and complex variables ₁, ..., ᵣ. Recently, Yamamoto showed that, by using the multiple integral expression, η(₁, ..., ᵣ; ₁, ..., ᵣ) can be extended to an analytic function of 2r variables. Also, he showed that the function η(₁, ..., ᵣ; ₁, ..., ᵣ) satisfies a duality formula. In this note, by using the a generalization of non-strict multi-indexed polylogarithm, we define a kind of the Arakawa-Kaneko type zeta function, and show that this function satisfies a certain duality formula. This note is based on the author's talk at RIMS conference
On generalization of duality formulas for the Arakawa-Kaneko type zeta functions
Get PDFKaneko and Tsumura introduced the Arakawa-Kaneko type zeta function
for non-negative integers
and complex variables . Recently, Yamamoto
showed that, by using the multiple integral expression,
can be extended to an analytic function
of 2 variables. Also, he showed that the function
satisfies a duality formula. In this
paper, by using the a generalization of non-strict multi-indexed polylogarithm,
we define a kind of Arakawa-Kaneko type zeta function, and show that this
function satisfies a certain duality formula.Comment: 19 page
On some properties of polycosecant numbers and polycotangent numbers
No full textPolycosecant numbers and polycotangent numbers are introduced as level two
analogues of poly-Bernoulli numbers. It is shown that polycosecant numbers and
polycotangent numbers satisfy many formulas similar to those of poly-Bernoulli
numbers. However, there is much unknown about polycotangent numbers. For
example, the zeta function interpolating them at non-positive integers has not
yet been constructed. In this paper, we show some algebraic properties of
polycosecant numbers and polycotangent numbers. Also, we generalize duality
formulas for polycosecant numbers which essentially include those for
polycotangent numbers.Comment: 20 page
On Some Properties of Polycosecant Numbers and Polycotangent Numbers
Get PDFdepartmental bulletin pape
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
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