Decomposition theorems for analytic functions having slow rates of growth in a finite disc

DOI10.1016/0022-247X(80)90140-7zbMath0441.30003MaRDI QIDQ1142882

G. P. Kapoor, Krishna Gopal

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

power serieslogarithmic typelogarithmic order

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (4)

SOME RESULTS IN CONNECTION WITH SUM AND PRODUCT THEOREMS RELATED TO GENERALIZED RELATIVE ORDER (α, β) AND GENERALIZED RELATIVE TYPE (α, β) OF ENTIRE FUNCTIONS IN THE UNIT DISC ⋮ On the rational approximation of analytic functions having generalized types of rate of growth ⋮ On the coefficients of a function analytic in the unit disc having slow rate of growth ⋮ Functions of finite logarithmic order in the unit disc. II

Cites Work

• A decomposition theorem for an analytic function
• Regularity of growth and gaps
• On the coefficients of an entire series with gaps
• Unnamed Item

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