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Partial sums of generalized Rabotnov function
Full text linkLet 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
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
Full text linksummary: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
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
Univalence criteria for general integral operator
Full text linkLet be the class of all analytic functions which are analytic
in the open unit disc $\mathcal{U=}\left\{ z:\left\vert z\right\ver
Initial Maclaurin Coefficients Bounds for New Subclasses of Bi-univalent Functions
Full text linkIn this work we introduce the subclasses L(theta, alpha) and L(theta, gamma) of bi-univalent functions. Furthermore, we obtain coefficient bounds involving the Taylor-Maclaurin coefficients a2 and a3 for functions belonging to these classes. The results presented in this paper would generalize those in related works of several earlier authors
Initial Maclaurin coefficient estimates for -pseudo-starlike bi-univalent functions associated with Sakaguchi-type functions
Full text linksummary:We introduce and study two certain classes of holomorphic and bi-univalent functions associating -pseudo-starlike functions with Sakaguchi-type functions. We determine upper bounds for the Taylor--Maclaurin coefficients and for functions belonging to these classes. Further we point out certain special cases for our results
Coefficient estimates and subordination properties for certain classes of analytic functions of reciprocal order
Full text linkIn this work, we determine the coefficient bounds and subordination results for functions in certain subclasses of analytic functions of reciprocal order, which are introduced here by means of a Hadamard product of analytic functions. The results presented in this paper improve or generalize the recent works of other authors and also give rise to several new results.
Mathematics Subject Classification (2010): 30C45, 30C80
Some properties of a linear operator involving generalized Mittag-Leffler function
Full text linkThis paper introduces a new class Tγ ... (η) of analytic functions which is defined by means of a linear operator involving generalized Mittag-Leffler function H γ α,β,k (f ). The results investigated in this paper include, an inclusion relation for functions in the class T ;;k() and also some subordination results of the linear operator H ;;k(f). Several consequences of our results are also pointed out.
Mathematics Subject Classification (2010): 33E12, 30C45
Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series
Full text linksummary:The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes and of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered
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