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Some function classes closed under infimal convolution

โœ Scribed by D. H. Martin


Publisher
Springer
Year
1978
Tongue
English
Weight
282 KB
Volume
25
Category
Article
ISSN
0022-3239

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Some convolution properties of a certain
โœ M.K. Aouf; Yi Ling ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 312 KB

Let A(p) denote the class of functions f (z) = z p + โˆž n=p+1 a n z n (p โˆˆ N = {1, 2, . . .}) which are analytic and p-valent in the unit disc U = {z : |z| < 1}. The objective of the present work is to obtain some convolution properties for the class , where the value ฮฒ is sharp.