## Abstract Certain subclasses π~__p__~(__j__, Ξ±), β¬οΈ~__p__~(__j__, Ξ±) and π’~__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~__p__~(__j__, Ξ±), β¬οΈ~__p__~(__j__, Ξ±), or π’~
Some properties of certain multivalent functions
β Scribed by Shigeyoshi Owa
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 263 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0893-9659
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β¦ 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.
π SIMILAR VOLUMES
Let A(p, k)(p, k β 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
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