March 2019
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85 Reads
Far East Journal of Mathematical Sciences (FJMS)
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March 2019
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85 Reads
Far East Journal of Mathematical Sciences (FJMS)
January 2019
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80 Reads
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1 Citation
Journal of Computational Analysis and Applications
The main object of this article is to define a new class of analytic functions using q - Sãlãgean differential operator involving complex order. We obtain coefficient estimates and other useful properties for this new class.
January 2016
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74 Reads
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9 Citations
International Journal of Analysis
We introduce two new subclasses of the function class Σ of biunivalent functions in the open disc defined by convolution. Estimates on the coefficients a2 and a3 for the two subclasses are obtained. Moreover, we verify Brannan and Clunie’s conjecture a2≤2 for our subclasses.
... (see [18,19]); [20]); [21]); [25]). ...
January 2019
Journal of Computational Analysis and Applications
... The concept of bi-univalent functions was first introduced by Lewin (1967), who also provided an estimate for the second coefficient of these functions, stating that ja 2 j < 1:51: This estimation was later refined by Brannan and Clunie (Boas, 1982), who proposed that ja 2 j � ffi ffi ffi 2 p : Over the years, the initial coefficients of biunivalent functions have been extensively studied and estimated, contributing to a rich body of literature on the subject (see Aouf, Madian, & Mostafa, 2019;Ibrahim & Karthikeyan, 2023;Saravanan & Muthunagai, 2017;Vijaya, Sudharsan, & Sivasubramanian, 2016;Xu, Gui, & Srivastava, 2012;Yalçın, Muthunagai, & Saravanan, 2020;Younis et al., 2023). ...
January 2016
International Journal of Analysis