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An extension of $q$-starlike and $q$-convex error functions endowed with the trigonometric polynomials

In: Mathematica Slovaca, vol. 70, no. 3
Sahsene Altinkaya
Detaily:
Rok, strany: 2020, 599 - 604
Kľúčové slová:
q-starlike error function, q-convex error function, subordination, convolution
O článku:
In this present investigation, we will concern with the family of normalized analytic error function which is defined by \begin{equation*} Erf(z)=\frac{\sqrt{π z}}{2}\er f(\sqrt{z})=z+\overset{∞}{\underset% {n=2}{∑}}(((-1)n-1) / ((2n-1)(n-1)!))zn. \end{equation*}% By making the use of the trigonometric polynomials $Un(p,q,\e\iiθ)$ as well as the rule of subordination, we introduce several new classes that consist of $\mathfrak{q}$-starlike and $\mathfrak{q}$-convex error functions. Afterwards, we derive some coefficient inequalities for functions in these classes.
Ako citovať:
ISO 690:
Altinkaya, S. 2020. An extension of $q$-starlike and $q$-convex error functions endowed with the trigonometric polynomials. In Mathematica Slovaca, vol. 70, no.3, pp. 599-604. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0374

APA:
Altinkaya, S. (2020). An extension of $q$-starlike and $q$-convex error functions endowed with the trigonometric polynomials. Mathematica Slovaca, 70(3), 599-604. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0374
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 23. 5. 2020