# Starlike functions of complex order involving q-hypergeometric functions with fixed point

Kaliappan Vijaya; Gangadharan Murugusundaramoorthy; Murugesan Kasthuri

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2014)

- Volume: 13, Issue: 1, page 51-63
- ISSN: 2300-133X

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topKaliappan Vijaya, Gangadharan Murugusundaramoorthy, and Murugesan Kasthuri. "Starlike functions of complex order involving q-hypergeometric functions with fixed point." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 13.1 (2014): 51-63. <http://eudml.org/doc/268762>.

@article{KaliappanVijaya2014,

abstract = {Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with ƒ(ξ) = ƒ0(ξ) − 1 = 0, ξ (|ξ| = d) is a fixed point in the open disc U = \{z ∈ ℂ: |z| < 1\}. In this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties and neighbourhood results for the function class T Sξ(α, β,γ). Further, we obtain integral means inequalities for the function ƒ ∈ T Sξ(α, β,γ).},

author = {Kaliappan Vijaya, Gangadharan Murugusundaramoorthy, Murugesan Kasthuri},

journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},

keywords = {starlike functions, convex functions},

language = {eng},

number = {1},

pages = {51-63},

title = {Starlike functions of complex order involving q-hypergeometric functions with fixed point},

url = {http://eudml.org/doc/268762},

volume = {13},

year = {2014},

}

TY - JOUR

AU - Kaliappan Vijaya

AU - Gangadharan Murugusundaramoorthy

AU - Murugesan Kasthuri

TI - Starlike functions of complex order involving q-hypergeometric functions with fixed point

JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

PY - 2014

VL - 13

IS - 1

SP - 51

EP - 63

AB - Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with ƒ(ξ) = ƒ0(ξ) − 1 = 0, ξ (|ξ| = d) is a fixed point in the open disc U = {z ∈ ℂ: |z| < 1}. In this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties and neighbourhood results for the function class T Sξ(α, β,γ). Further, we obtain integral means inequalities for the function ƒ ∈ T Sξ(α, β,γ).

LA - eng

KW - starlike functions, convex functions

UR - http://eudml.org/doc/268762

ER -

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