Results 41 to 50 of about 8,665 (174)

Label‐Free Molecular Characterization of Protein Aggregates in Differentiated Astrocytes

Advanced Science, Volume 13, Issue 16, 18 March 2026.
Mid‐infrared photothermal microscopy enables label‐free structural, molecular, and functional imaging of protein aggregates in astrocyte cells. The processes of astrocytes differentiated on a nanomaterial interface are characterized by α‐helical signatures combined with enhanced interfacial thermal resistance properties, while the cell soma of non ...
Panagis D. Samolis, Chiara Lazzarini, Rahmetullah Durgun, Barbara Barile, Giorgia Conte, Tamara Posati, Marco Caprini, Grazia Paola Nicchia, Valentina Benfenati, Michelle Y. Sander   +9 more
wiley   +1 more source

Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid

Journal of Function Spaces, 2021
In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani, Bakhtiar Ahmad, Nazar Khan, Muhammad Ghaffar Khan, Sama Arjika, Bilal Khan, Ronnason Chinram   +6 more
doaj   +1 more source

Convexity properties of quasihyperbolic balls on Banach spaces

, 2010
We study convexity and starlikeness of quasihyperbolic and distance ratio metric balls on Banach spaces. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are ...
Rasila, Antti, Talponen, Jarno
core   +1 more source

Study of (p, q)‐Symmetric Starlike Functions of Order η

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan, Rashid Murtaza, Adnan, Mohammad Khalid Nasrat, Ozgur Ege   +4 more
wiley   +1 more source

Sufficient Conditions for Strong Starlikeness [PDF]

Bulletin of the Iranian Mathematical Society, 2020
Let $p$ be an analytic function defined on the open unit disc $\mathbb{D}$ with $p(0)=1$ and $0< \leq 1$. The conditions on complex valued functions $C$, $D$ and $E$ are obtained for $p$ to be subordinate to $((1+z)/(1-z))^ $ when $C(z) z^{2}p''(z)+D(z)zp'(z) + E(z)p(z)=0$.
Sharma, Kanika, Cho, Nak Eun, Ravichandran, V.   +2 more
openaire   +2 more sources

Convex and starlike criteria

International Journal of Mathematics and Mathematical Sciences, 1999
We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
Herb Silverman
doaj   +1 more source

Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}

, 2015
In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan, Orhan, Halit, Çağlar, Murat   +2 more
core   +1 more source

On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam, Samar. M. Madian, Abdul Rauf Khan   +2 more
wiley   +1 more source

Integral Means and Arc length of Starlike Log-harmonic Mappings

Abstract and Applied Analysis, 2011
We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
doaj   +1 more source

Starlike Functions With Respect to a Boundary Point Connected With Bounded Radius Rotation

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the current article, we introduce a new subclass of univalent function Gμ with bounded radius rotation. For this new class, the authors establish many interesting relations between these classes and existing classes. Furthermore, authors try to find coefficient estimations for this new subclass.
Alhanouf Alburaikan, Prathviraj Sharma, S. Sivasubramanian, Jongsuk Ro, Sheza M. El-Deeb, Abdul Rauf Khan   +5 more
wiley   +1 more source