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Properties of certain analytic multivalent functions defined by a linear operator

✍ Scribed by Neng Xu; M.K. Aouf

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
623 KB
Volume
58
Category
Article
ISSN
0898-1221

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✦ Synopsis

Let A(p, k)(p, k ∈ N = {1, 2, 3, . . .}) be the class of functions f (z) = z p + a p+k z p+k + β€’ β€’ β€’ which are analytic in the unit disk E = {z : |z| < 1}. By using a linear operator L p,k (a, c), we introduce a new subclass T p,k (a, c, Ξ΄; h) of A(p, k) and derive some interesting properties for the class T p,k (a, c, Ξ΄; h).

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