Results 11 to 20 of about 624,684 (237)

Regularization of distributions

International Journal of Mathematics and Mathematical Sciences, 1998
We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables.
Ricardo Estrada
doaj   +1 more source

Some geometric properties of certain meromorphically multivalent functions associated with the first-order differential subordination

AIMS Mathematics, 2021
A new subclass $\mathcal{G}_n(A,B,\lambda)$ of meromorphically multivalent functions defined by the first-order differential subordination is introduced. Some geometric properties of this new subclass are investigated.
Ying Yang, Jin-Lin Liu
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Properties of Functions Involving Struve Function

Mathematics, 2018
Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with
Jonathan Aaron Azlan Mosiun, Suzeini Abdul Halim   +1 more
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Subordinating results for a class of analytic functions defined by Hadamard product and Atshan and Rafid operator [PDF]

Surveys in Mathematics and its Applications, 2021
In this paper, we defined a class of analytic functions defined by Hadamard product and Atshan and Rafid operator and obtained some subordinating results for functions in this class.
M. K. Aouf , A. O. Mostafa , F. Y. Al-Quhali   +2 more
doaj  

A new parametric differential operator generalized a class of d'Alembert's equations

Journal of Taibah University for Science, 2021
The studies in operator theory are attracting many researchers. The central aim of this investigation is to formulate a special parametric differential operator (PDO) based on the error function in the open unit disk. The suggested operator is related to
Ibtisam Aldawish, Rabha W. Ibrahim
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Results for Multivalent Functions Third-Order Differential Subordination and Superordination by Using New Differential Operator

Wasit Journal for Pure Sciences
the aim of this study was to give results differential Subordination and Superordination for analytic functions on third order and obtain some sandwich results through the new ...
maryam dheyaa alquzweeni
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On a subclass of starlike functions associated with a vertical strip domain

Journal of Inequalities and Applications, 2019
In this paper, we consider a subclass of starlike functions associated with a vertical strip domain. We obtain several results concerned with integral representations, convolutions, and coefficient inequalities for functions belonging to this class ...
Yong Sun, Zhi-Gang Wang, Antti Rasila, Janusz Sokół   +3 more
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Coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains defined by error function

AIMS Mathematics, 2020
Pseudo is a force applied on a function to show the positive or negative effect of it on a class of function defined. The paper aims to investigate the coefficient inequalities for pseudo subclasses of analytical functions related to Petal type domains ...
S. O. Olatunji, Hemen Dutta
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Geometric behavior of a class of algebraic differential equations in a complex domain using a majorization concept

AIMS Mathematics, 2021
In this paper, a type of complex algebraic differential equations (CADEs) is considered formulating by \[\alpha [\varphi(z) \varphi” (z) +(\varphi' (z))^2]+ a_m \varphi^m(z)+a_{m-1} \varphi^{m-1}(z)+...+ a_1 \varphi(z)+ a_0=0.\] The conformal analysis ...
Rabha W. Ibrahim, Dumitru Baleanu
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Real analytic functions and monomial curves [PDF]

arXiv, 2023
We show that a function is real analytic at the origin iff it is arc-analytic, has a subanalytic graph, and its restriction to every monomial curve is analytic. This complements recent results of Kucharz and Kurdyka.
arxiv