Results 61 to 70 of about 3,329 (222)

Coefficient Inequalities Related With Apple‐Like Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
Several subfamilies of Ma and Minda starlike and convex functions have been examined differently through individual generating functions in the literature. However, little or no effort has been devoted to subfamily arising from the product of these generating functions.
Aiman Sana, Afis Saliu, Sadia Riaz, Yufeng Xu   +3 more
wiley   +1 more source

Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani, Nafya Hameed Mohammed, Teodor Bulboacă, Giovanni Di Fratta   +3 more
wiley   +1 more source

Palindromes in starlike trees [PDF]

, 2019
In this note, we obtain an upper bound on the maximum number of distinct non-empty palindromes in starlike trees. This bound implies, in particular, that there are at most 4 n distinct non-empty palindromes in a starlike tree with three branches each of ...
Smyth, W.F., Simpson, J., Glen, A.
core  

Convex and starlike meromorphic functions

, 1980
In this paper we study meromorphic univalent functions with a simple pole at p which map the unit disk onto the exterior of convex sets or the exterior of starlike sets. A question raised by Libera and Livingston concerning the equality of two classes of
James Miller
core   +1 more source

Certain Geometric Investigations of Three Normalized Bessel-Type Functions of a Complex Variable

Mathematics
We recall the normalized forms for the three Bessel-type functions; these functions are the Bessel function, Lommel function, and Struve function of the first kind. By using convolution, we define normalized forms.
Rabab Alyusof, Shams Alyusof, Rabha M. El-Ashwah, Alaa H. El-Qadeem   +3 more
doaj   +1 more source

Sufficient Conditions for Janowski Starlikeness [PDF]

International Journal of Mathematics and Mathematical Sciences, 2007
LetA,B,D,E∈[−1,1]and letp(z)be an analytic function defined on the open unit disk,p(0)=1. Conditions onA,B,D, andEare determined so that1+βzp'(z)being subordinated to(1+Dz)/(1+Ez)implies thatp(z)is subordinated to(1+Az)/(1+Bz). Similar results are obtained by considering the expressions1+β(zp'(z)/p(z))and1+β(zp'(z)/p2(z)).
Rosihan M. Ali, V. Ravichandran, N. Seenivasagan   +2 more
openaire   +3 more sources

Some Remarks on Ozaki, Ono and Umezawa’s Results

Mathematics
Recall that in On a general second order derivative, Sci. Rep. Tokyo Kyoiku Daigaku A, 5(124–127)(1956), 111–114, Ozaki, Ono and Umezawa proved a result that if f(z) is analytic and satisfies |f″(z)|
Mamoru Nunokawa, Hitoshi Saitoh, Janusz Sokół, Edyta Trybucka   +3 more
doaj   +1 more source

Properties of a new integral operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we derive sufficient conditions for the univalence, star- likeness, convexity and some other properties in the class N (ρ) ; for a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Bucur Roberta, Andrei Loriana, Breaz Daniel   +2 more
doaj   +1 more source

Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function

Journal of Mathematics, Volume 2026, Issue 1, 2026.
For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima, Umar Raza, Afis Saliu, Tanweer Sohail, Mohammad W. Alomari   +4 more
wiley   +1 more source

Graphs cospectral with starlike trees

, 2008
A tree which has exactly one vertex of degree greater than two is said to be starlike. In spite of seemingly simple structure of these trees, not much is known about their spectral properties. In this paper, we introduce a generalization of the notion of
B. Tayfeh-Rezaie, Ghareghani, N., Ramezani, F., Tayfeh-Rezaie, B., N. Ghareghani, F. Ramezani   +5 more
core   +1 more source