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Analytic properties of the inverse A(z)−1of an analytic linear operator valued function A (z)

✍ Scribed by M. Ribarič; I. Vidav

Publisher
Springer
Year
1969
Tongue
English
Weight
745 KB
Volume
32
Category
Article
ISSN
0003-9527

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Properties of certain analytic multivale
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✍ Neng Xu; M.K. Aouf 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 623 KB

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 + • • • 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, δ; h) of A(p, k) and derive some interesting properties for th