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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function

100%

Murugusundaramoorthy G., Uma K.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2010

tom 64

nr 2

Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class \(TS^\mu_b(\alpha, \beta, \gamma)\). In particular, we obtain integral means inequalities for the function \(f(z)\) belongs to the class \(TS^\mu_b(\alpha, \beta, \gamma)\) in the unit disc.

Coefficient bounds for some subclasses of p-valently starlike functions

81%

Selvaraj C., Babu O. S., Murugusundaramoorthy G.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2013

tom 67

nr 2

For functions of the form \[f(z) = z^{p} + \sum_{n = 1}^{\infty} a_{p + n} z^{p + n}\] we obtain sharp bounds for some coefficients functionals in certain subclasses of starlike functions. Certain applications of our main results are also given. In particular, Fekete-Szego-like inequality for classes of functions defined through extended fractional differintegrals are obtained.

Ograniczanie wyników

2 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2 Murugusundaramoorthy G.

1 Babu O. S.

1 Selvaraj C.

1 Uma K.

1 2013

1 2010

Wyniki wyszukiwania

Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function

Coefficient bounds for some subclasses of p-valently starlike functions