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20072017
most citedSecond Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

44 citations · 76 across the 5 of their papers we have counts for

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math.CV2017

Radii of the uniformly convex of order of Lommel and Struve functions

Sercan Topkaya, Erhan Deniz, Murat Çağlar

In this paper, we determine the radii of uniformly convex of order for three kinds of normalized Lommel and Struve functions of the first kind. In the cases considered the…

math.CV2015★ 44 cited

Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

Erhan Deniz, Murat Çağlar, Halit Orhan

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.

math.CV2012

Coefficient bounds for new subclasses of bi-univalent functions

Murat Çağlar, Halit Orhan, Nihat Yağmur

In the present investigation, we consider two new subclasses N_{Σ}^{μ}(α,λ) and N_{Σ}^{μ}(β,λ) of bi-univalent functions defined in the open unit disk U={z:|z|<1}. Besides, we find…

math.CV2012

On neighborhood and partial sums problem for generalized Sakaguchi type functions

Murat Çağlar, Halit Orhan

In the present investigation, we introduce a new class k-US_{s}^{η}(λ,μ,γ,t) of analytic functions in the open unit disc U with negative coefficients. The object of the present pap…

math.CV2012

Some sufficient conditions for the univalence of an integral operator

Halit Orhan, Dorina Răducanu, Murat Çağlar

Making use of the method of subordination chains, we obtain some sufficient conditions for the univalence of an integral operator. In particular, as special cases, our results impl…

math.CV2012★ 21 cited

Differential Subordinations Involving Generalized Bessel Functions

Arpad Baricz, Erhan Deniz, Murat Caglar +1

In this paper our aim is to present some subordination and superordination results, by using an operator, which involves the normalized form of the generalized Bessel functions of…