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ON A NEW SUBCLASS OF P-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS

Journal Name:

  • Kastamonu Üniversitesi Kastamonu Eğitim Dergisi

Publication Year:

  • 2013

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
We introduce a new subclass *( , , , , ) pP α β ξ Ω m of analytic and p − valent functions with negative coefficients. Coefficient theorem, distortion theorem and closure theorem of functions belonging to the class *( , , , , ) pP α β ξ Ω m are determined. Also we obtain radius of convexity for * ( , , , , ). pP α β ξ Ω m Integral operators of functions belonging to the class *( , , , , ) pP α β ξ Ω m are studied here. Furthermore the extreme points of *( , , , , ) pP α β ξ Ω m are also determined.
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Abstract (Original Language): 
Bu makalede negative katsayılı p − valent analitik fonksiyonların *( , , , , ) pP α β ξ Ω m ile gösterilen yeni bir sınıfı tanıtıldı. *( , , , , ) pP α β ξ Ω m sınıfına ait fonksiyonlar için katsayı teoremi, distorsiyon teoremi ve kapanış teoremi belirlendi. Ayrıca *( , , , , ) pP α β ξ Ω m sınıfı için konvekslik yarıçapı elde edildi. Bundan başka *( , , , , ) pP α β ξ Ω m sınıfına ait fonksiyonların integral operatörleri çalışıldı. Bunlara ilave olarak *( , , , , ) pP α β ξ Ω m sınıfının extreme noktaları belirlendi.
FULL TEXT (PDF): 
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  • 3
945-960
  • Turkish

REFERENCES

References: 

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