Coefficient Inequality for Certain New Subclasses of Sakaguchi Type Function Related to Sigmoid Functions
DOI:
https://doi.org/10.14419/ijet.v7i4.36.24236Keywords:
Analytic function, coefficient estimate, Starlike function, subordination, Convex function, univalent function, upper bound, sigmoid function, Differential operator, Second Hankel determinant.Abstract
The question of the present paper is to get starting coefficients| | |,| |,| |, upper limits of | and second Hankel determinant related with a class of systematic univalent capacity of sakaguchi compose work identified with sigmoid capacity in the open unit plate ∆. Different creators as Abiodum, Tinuoye Oladipo, Murugu sundaramoorthy et. al., and Olatunji have contemplated sigmoid capacity for various classes of systematic and univalent capacities. Our outcomes fills in as a speculation toward this path and it conceives an offspring some current subclasses of capacities.
Â
Â
References
[1] Ali RM, Ravichandran V & Seenivasagan N, “Coefficient bounds for p-valent functionsâ€, Applied Mathematics and Computation, Vol.187, No.1, (2007), pp.35-46.
[2] Ali RM, Ravichandran V & Lee SK, “Subclasses of multivalent starlike and convex functionsâ€, Bulletin of the Belgian Mathematical Society-Simon Stevin, Vol.16, No.3, (2009), pp.385-394.
[3] Fadipe-Joseph, OA, Oladipo, AT & Ezeafulukwe, UA, “Modified sigmoid function in univalent function theoryâ€, International Journal of Mathematical Sciences and Engineering Application, Vol.7, No.7, (2013), pp.313-317.
[4] Murugusundaramoorthy G & Janani T, “Sigmoid Function in the Space of Univalent $Lambda $-Pseudo Starlike Functionsâ€, International Journal of Pure and Applied Mathematics, Vol.101, No.1, (2015), pp.33-41.
[5] Noonan JW & Thomas DK, “On the second Hankel determinant of areally mean ð‘-valent functionsâ€, Transactions of the American Mathematical Society, Vol.223, (1976), pp.337-346.
[6] Oladipo AT, “Coefficient inequality for subclass of analytic univalent functions related to simple logistic activation functionsâ€, Stud. Univ. Babes-Bolyai Math, Vol.61, (2016), pp.45-52.
[7] Olatunji SO, “Sigmoid function in the space of univalent lambda pseudo starlike function with Sakaguchi type functionsâ€, Journal of Progressive Research in Mathematics, Vol.7, No.4, (2016), pp.1164-1172.
[8] Sharma, P & Raina, RK, “On a Sakaguchi type class of analytic functions associated with quasi-subordinationâ€, Rikkyo Daigaku sugaku zasshi, Vol.64, No.1, (2015), pp.59-70.
[9] Sakar FM, Aytas S and Guney O, “On the Fekete-Szeg¨ o problem for a generalised class defined by differential operatorâ€, Suleyman Derminal University Journal of Natural and Applied Sciences, Vol.20, No.3, (2016), pp.456-459.
[10] Altınkaya Åž, “Application of Quasi-Subordination for Generalized Sakaguchi Type Functionsâ€, Journal of Complex Analysis, (2017).
Downloads
How to Cite
Received date: December 18, 2018
Accepted date: December 18, 2018
Published date: December 9, 2018