1,720,969 research outputs found
Partial sums of generalized Rabotnov function
Get PDFLet be the sequence of partial sums of
the normalized Rabotnov functions where The purpose of the present paper is to determine lower bounds
for \mathfrak{R}\left \{ \frac{\mathbb{R}_{\alpha ,\beta ,\gamma }(z)%
}{(\mathbb{R}_{\alpha ,\beta ,\gamma })_{m}(z)}\right \} ,\mathfrak{R}% \left
\{ \frac{(\mathbb{R}_{\alpha ,\beta ,\gamma })_{m}(z)}{\mathbb{R}% _{\alpha
,\beta ,\gamma }(z)}\right \} ,
\mathfrak{R}\left \{ \frac{\mathbb{R}_{\alpha ,\beta ,\gamma
}(z)}{(\mathbb{% R}_{\alpha ,\beta ,\gamma })_{m}^{\prime }(z)}\right \}
,\mathfrak{R}% \left \{ \frac{(\mathbb{R}_{\alpha ,\beta ,\gamma })_{m}^{\prime
}(z)}{% \mathbb{R}_{\alpha ,\beta ,\gamma }(z)}\right \} . Furthermore, we
give lower bounds for and
where is the
Alexander transform of . Several examples
of the main results are also considered
Poisson distribution series on a general class of analytic functions
Get PDFThe main object of this paper is to find necessary and sufficient conditions for the Poisson distribution series to be in a general class of analytic functions with negative coefficients. Further, we consider an integral operator related to the Poisson distribution series to be in this class. A number of known or new results are shown to follow upon specializing the parameters involved in our main results
Some lower bounds for the quotients of normalized error function and their partial sums
No full textsummary:The purpose of the present paper is to determine lower bounds for , and , where is the generalized normalized error function of the form and its partial sum. Furthermore, we give lower bounds for and , where is the Alexander transform of . Several examples of the main results are also considered
Subclass of analytic functions related with Miller-Ross-type Poisson distribution series
Get PDFsummary:The purpose of the present paper is to find a necessary and sufficient condition for the Miller-Ross-type Poisson distribution series to be in the class of analytic functions with negative coefficients. Also, we investigate several inclusion properties of the classes of Janowski type close-to-starlike functions, Janowski type close-to-convex functions and Janowski type quasi-convex functions associated with the operator defined by this distribution. Further, we consider an integral operator related to the Miller-Ross-type Poisson distribution series. Several corollaries and consequences of the main results are also considered
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
A subordination results for a class of analytic functions defined by q-differential operator
No full textIn this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered
Starlikeness of a new general integral operator for meromorphic multivalent functions
No full textAbstractIn the present paper, we introduce a new general integral operator of meromorphic multivalent functions. The starlikeness of this integral operator is determined. Several special cases are also discussed in the form of corollaries
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