Results 51 to 60 of about 5,274 (174)

Starlike and Convex Properties for Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2008
The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
Oh Sang Kwon, Nak Eun Cho
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Geometric Properties of Partial Sums of Univalent Functions [PDF]

, 2012
The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
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On classes of non-univalent functions influenced by the multiplicative derivative

Frontiers in Applied Mathematics and Statistics
In this article, we extend studies on the class of starlike functions, motivated by the definition of the multiplicative derivative. In this direction, we define a new class by combining characterizations of starlike functions and a recently studied ...
Daniel Breaz, Kadhavoor R. Karthikeyan, Dharmaraj Mohankumar   +2 more
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Close-to-convexity of quasihyperbolic and $j$-metric balls

, 2010
We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric balls with small radii are close-to-convex in general subdomains of $\Rn$ and the quasihyperbolic balls ...
Klén, Riku
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

, 2015
In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan, Orhan, Halit, Çağlar, Murat   +2 more
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Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function

Axioms
In this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function.
Naci Taşar, Fethiye Müge Sakar, Seher Melike Aydoğan, Georgia Irina Oros   +3 more
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Weakly starlike meromorphic univalent functions [PDF]

Transactions of the American Mathematical Society, 1975
A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) ( 1 − ρ z ) ] −
Libera, Richard J., Livingston, Albert E.   +1 more
openaire   +2 more sources

A certain subclass of starlike functions defined by subordination [PDF]

Journal of Mahani Mathematical Research
In the present paper, we introduce and investigate a new result connected to subclasses of normalized and univalent functions in the open unit disk.
Khatere Sheikhi, Shahram Najafzadeh
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A generalization of starlike functions of order alpha [PDF]

, 2015
For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
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Starlike functions of complex order involving q-hypergeometric functions with fixed point

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014
Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with f(ksi)=f'(ksi)-1=0, ksi (|ksi|=d) is a fixed point in the open disc U ={z C:|z| 1}.
Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Murugesan Kasthuri   +2 more
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