نتایج جستجو برای: subordination between analytic functions
تعداد نتایج: 3248045 فیلتر نتایج به سال:
The purpose of the present article is to derive some subordination and superordina-tion results for certain normalized analytic functions involving fractional integral operator. More-over, this result is applied to find a relation between univalent solutions for fractional differentialequation.Full textAcknowledgement. The work presented here was supported by eScienceFund<lb...
In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension the Mittag–Leffler function.
In this paper we introduce a new class H(φ, α, β) of analytic functions which is defined by means of a Hadamard product (or convolution) of two suitably normalized analytic functions. Several properties like, the coefficient bounds, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are investigated. We further consider a subordination theorem, certain bound...
let $p$ be an analytic function defined on the open unit disc $mathbb{d}$ with $p(0)=1.$ the conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{c}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of bernoulli $|w^{2}-1...
In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.
Let q1 and q2 be univalent in ∆ := {z : |z| < 1} with q1(0) = q2(0) = 1. We give some applications of first order differential subordination and superordination to obtain sufficient conditions for a normalized analytic functions f with f(0) = 0 , f ′(0) = 1 to satisfy q1(z) ≺ zf ′(z) f(z) λ ≺ q2(z).
The object of the present paper is to investigate some subordination properties of multivalent analytic functions which are defined here by using the DziokSrivastava operator. Furthermore, relevant connections of the results presented in this paper with those obtained in earlier works are also discussed.
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