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Third hankel determinant and zalcman functional for a class of starlike functions with respect to symmetric points related with sine function

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Khan, Muhammad Ghaffar
Ahmad, Bakhtiar
Murugusundaramoorthy, Gangadharan
Mashwani, Wali Khan
Yalçın, Sibel
Shaba, Timilehin Gideon
Salleh, Zabidin

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Int Scientific Research Publications

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In this article we define a class of starlike functions with respect to symmetric points in the domain of sine function. Also, we investigate coefficients bounds and upper bounds for the third order Hankel determinant for this defined class. We also evaluate the Zalcman functiona vertical bar a2/3 - a(5)vertical bar. Specializing the parameters, we improve Zalcman functional for the class of starlike functions.

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Coefficient, Conjecture, Bounds, Analytic functions, Subordinations, Sine function, Hankel determinant, Zalcman functional, Science & technology, Physical sciences, Mathematics

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