Results 51 to 60 of about 11,578 (225)
On the properties of a class of polyharmonic functions
Mathematical Modelling and Analysis, 2013 The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
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Advanced Materials Interfaces, Volume 12, Issue 24, December 22, 2025.This study presents the elaboration of antibacterial, antiadhesive, and antibiofilm polyurethane by a straightforward process based on the co‐extrusion of 2 wt.% of both antibacterial and antiadhesive copolymer. The material proves to be active even after pre‐exposition to biological media and prevents E. coli biofilm formation without toxicity.
Baptiste Caron +6 more
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Certain Geometric Investigations of Three Normalized Bessel-Type Functions of a Complex Variable
MathematicsWe 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 +3 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
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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
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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
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AIMS Mathematics, 2021 In this paper, we first investigate some subclasses of q-starlike functions. We then apply higher-order q-derivative operators to introduce and study a new subclass of q-starlike functions, which involves the Janowski functions.
Muhammad Sabil Ur Rehman +5 more
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Geometric Properties of Partial Sums of Univalent Functions [PDF]
, 2012 The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
core
Unique solutions to boundary value problems in the cold plasma model
, 2010 The unique existence of a weak solution to the homogeneous closed Dirichlet problem on certain D-star-shaped domains is proven for a mixed elliptic-hyperbolic equation.
Otway, Thomas H.
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri +2 more
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