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

G. Murugusundaramoorthy; K. Uma

Annales UMCS, Mathematica (2010)

  • Volume: 64, Issue: 2, page 61-72
  • ISSN: 2083-7402

Abstract

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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 TSμ/b (α, β, γ) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TSμ/b (α, β, γ). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TSμ/b (α, β, γ) in the unit disc.

How to cite

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G. Murugusundaramoorthy, and K. Uma. "Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function." Annales UMCS, Mathematica 64.2 (2010): 61-72. <http://eudml.org/doc/267929>.

@article{G2010,
abstract = {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 TSμ/b (α, β, γ) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TSμ/b (α, β, γ). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TSμ/b (α, β, γ) in the unit disc.},
author = {G. Murugusundaramoorthy, K. Uma},
journal = {Annales UMCS, Mathematica},
keywords = {Univalent; starlike; convex; uniformly convex; uniformly star-like; Hadamard product; integral means; Hurwitz-Lerch Zeta function; starlike function; convex function; Hurwitz-Lerch zeta function},
language = {eng},
number = {2},
pages = {61-72},
title = {Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function},
url = {http://eudml.org/doc/267929},
volume = {64},
year = {2010},
}

TY - JOUR
AU - G. Murugusundaramoorthy
AU - K. Uma
TI - Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
JO - Annales UMCS, Mathematica
PY - 2010
VL - 64
IS - 2
SP - 61
EP - 72
AB - 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 TSμ/b (α, β, γ) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TSμ/b (α, β, γ). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TSμ/b (α, β, γ) in the unit disc.
LA - eng
KW - Univalent; starlike; convex; uniformly convex; uniformly star-like; Hadamard product; integral means; Hurwitz-Lerch Zeta function; starlike function; convex function; Hurwitz-Lerch zeta function
UR - http://eudml.org/doc/267929
ER -

References

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