Results 71 to 80 of about 732 (179)

On the starlikeness of analytic functions associated with Cassini oval with applications to special functions

open access: yesJournal of Inequalities and Applications
This paper studies the strong starlikeness of analytic functions associated with the right-half plane Cassini oval by establishing coefficient conditions for their power series expansions.
Saiful R Mondal, Ahmad K. Al Abdulaali
doaj   +1 more source

Coefficient inequalities for certain subclass of starlike function with respect to symmetric points related with q-exponential function

open access: yesNUML International Journal of Engineering and Computing
The purpose of the present work is to define a class of star-like function with respect to symmetrical points in the domain of exponential functions related to the q-exponential functions.
Zameer Abbas
doaj   +1 more source

Growth results for a subclass of Bazilevič functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α).
Rabha Md. El-Ashwah, D. K. Thomas
doaj   +1 more source

On meromorphically starlike functions of order $\alpha$ and type $\beta$, which satisfy Shah's differential equation

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
According to M.L. Mogra, T.R. Reddy and O.P.
Yu.S. Trukhan, O.M. Mulyava
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On α-convex functions of order β

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class.
Seiichi Fukui
doaj   +1 more source

a*-families of analytic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
doaj   +1 more source

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 starlike functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1968
openaire   +2 more sources

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