Results 11 to 20 of about 21,597 (254)
Mathematics, 2019 In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli.
Hari M. Srivastava +6 more
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New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics Interdisciplinary Research, 2020 In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian +2 more
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On a Subclass of Close-to-Convex Functions [PDF]
Bulletin of the Iranian Mathematical Society, 2018 11 ...
Chung, Yao Liang +2 more
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Geometric Properties of a Certain Class of Mittag–Leffler-Type Functions
Fractal and Fractional, 2022 The main objective of this paper is to establish some sufficient conditions so that a class of normalized Mittag–Leffler-type functions satisfies several geometric properties such as starlikeness, convexity, close-to-convexity, and uniform convexity ...
Hari M. Srivastava +3 more
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On Starlike and Close-to-Convex Functions [PDF]
Proceedings of the London Mathematical Society, 1963 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
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Subclasses of p-Valent Functions Associated with Linear q-Differential Borel Operator
Mathematics, 2023 The aim of the present paper is to introduce and study some new subclasses of p-valent functions by making use of a linear q-differential Borel operator.We also deduce some properties, such as inclusion relationships of the newly introduced classes and ...
Adriana Cătaş +2 more
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Close-to-Convexity of q-Bessel–Wright Functions
Mathematics, 2022 In this paper, we aim to find sufficient conditions for the close-to-convexity of q-Bessel–Wright functions with respect to starlike functions, such as z1−z,z1−z2, and −log(1−z) are in the open unit disc. Some consequences related to our main results are
Muhey U. Din +4 more
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Fractal and Fractional, 2019 In the present research paper, our aim is to introduce a new subfamily of p-valent (multivalent) functions of reciprocal order. We investigate sufficiency criterion for such defined family.
Shahid Mahmood +4 more
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On the definition of a close‐to‐convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close‐to‐convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the class, explicit reasons for this fact seem to be lacking in the literature.
Goodman, A. W., Saff, E. B.
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On alpha-close-to-convex functions of order beta
International Journal of Mathematics and Mathematical Sciences, 1986 Let Mβ(α)[α≥0 and β≥0] denote the class of all functionsf(z)=z+∑n=2∞anznanalytic in the unit disc U with f′(z)f(z)/z≠0 and which satisfy for z=reiθ∈U the condition ∫θ1θ2Re{(1−α)zf′(z)f(z)+α(1+zf″(z)f′(z))}dθ>−βπ for all θ2>θ1.
M. A. Nasr
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