𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some properties of certain multivalent functions

✍ Scribed by Shigeyoshi Owa


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
263 KB
Volume
4
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis


The object of the present paper is to derive some properties of certain multivalent functions in the unit disk. A conjecture for certain multivalent functions will be given.


πŸ“œ SIMILAR VOLUMES


Some Properties of Certain Multivalent F
✍ Shigeyoshi Owa πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 493 KB

## Abstract Certain subclasses π’œ~__p__~(__j__, Ξ±), ℬ︁~__p__~(__j__, Ξ±) and 𝒒~__p,b__~(__j__, Ξ±) of multivalent functions in the unit disk are introduced. The object of the present paper is to derive some properties of functions belonging to the classes π’œ~__p__~(__j__, Ξ±), ℬ︁~__p__~(__j__, Ξ±), or 𝒒~

Properties of certain analytic multivale
✍ Neng Xu; M.K. Aouf πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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 + 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 th

Some families of linear operators associ
✍ M.K. Aouf; H. Silverman; H.M. Srivastava πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 321 KB

Making use of a certain linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses P a,c (A, B; p, Ξ») and P + a,c (A, B; p, Ξ») of the class A( p) of normalized p-valent analytic functions in the open unit disk. The main objective of t