Results 101 to 110 of about 1,238 (216)

On a subclass of Bazilevič functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
Let B(α) be the class of normalised Bazilevič functions of type α>0 with respect to the starlike function g. Let B1(α) be the subclass of B(α) when g(z)≡z. Distortion theorems and coefficient estimates are obtained for functions belonging to B1(α).
D. K. Thomas
doaj   +1 more source

New Properties of Analytic Functions

open access: yesMathematics
In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk.
Hatun Özlem Güney, Shigeyoshi Owa
doaj   +1 more source

On a New Class of p-Valent Meromorphic Functions Defined in Conic Domains

open access: yesThe Scientific World Journal, 2016
We define a new class of multivalent meromorphic functions using the generalised hypergeometric function. We derived this class related to conic domain.
Mohammed Ali Alamri, Maslina Darus
doaj   +1 more source

Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function

open access: yes, 2016
Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
core   +1 more source

Analysis of relation between convex and starlike function

open access: yes, 2018
YÖK Tez No: 542753Literatürde tanımlanan fonksiyonun daha önce konvekse yakın fonksiyonlar için yapılan bir ispatı bulunmamaktadır.
Ay, Hilal
core  

HANKEL DETERMINANT FOR p-VALENT STARLIKE AND CONVEX FUNCTIONS OF ORDER

open access: yes, 2015
. The objective of this paper is to obtain an upper bound to the second Hankel determinant jap+1ap+3 a2p+2j for p-valent starlike and convex functions of order , using Toeplitz determinants.
D. Vamshee Krishna, T. Ramreddy
core  

Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function

open access: yes, 2010
Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
core   +1 more source

On p-Valently Meromorphic-Strongly Starlike and Convex Functions

open access: yesInternational Journal of Analysis and Applications, 2016
In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
doaj   +2 more sources

An upper bound to the second Hankel determinant for pre-starlike functions of order α

open access: yesLe Matematiche, 2015
The objective of this paper is to obtain an upper bound to the second Hankel determinant  for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
doaj  

On λ-Pseudo Bi-Starlike Functions Related to Second Einstein Function

open access: yes
A new class BΣλ(γ,κ) of bi-starlike λ-pseudo functions related to the second Einstein function is presented in this paper. c2 and c3 indicate the initial Taylor coefficients of ϕ∈BΣλ(γ,κ),
Gangadharan Murugusundaramoorthy   +5 more
core   +1 more source

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