Results 31 to 40 of about 834,366 (192)
Subordinating results for a class of analytic functions defined by Hadamard product and Atshan and Rafid operator [PDF]
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 +2 more
doaj
Analytic Solution of the Langevin Differential Equations Dominated by a Multibrot Fractal Set
We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain ...
Rabha W. Ibrahim, Dumitru Baleanu
doaj +1 more source
For an entire function and an analytic in the unit disk function the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders.
O.M. Mulyava, M.M. Sheremeta
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Differentiability Properties of Log-Analytic Functions [PDF]
We show that the derivative of a log-analytic function is log-analytic. We prove that log-analytic functions exhibit strong quasianalytic properties. We establish the parametric version of Tamm's theorem for log-analytic functions.
arxiv
On the class of starlike meromorphic function of complex order [PDF]
We give some results for certain subclass of meromorphic function f of complex order defined on the punctured unit disk. A necessary and sufficient condition for functions to belong to the class will be discussed.
Aabed Mohammed, Maslina Darus
doaj
Sub-Gaussian random variables and Wiman's inequality for analytic functions
Let $f$ be an analytic function in $\{z: |z|0)(\forall k\in\mathbb{N})(\forall \lambda\in\mathbb{R})\colon \mathbf{E}(e^{\lambda Z_k})\leq e^{D \lambda^2}$, and such that $(\exists\beta>0)(\exists n_0\in\mathbb{N})\colon \inf\limits_{n\geq n_0}\mathbf{E}|
A.O. Kuryliak, O.B. Skaskiv
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The anatomy of a tornillo: puzzles from three-component measurements at Galeras volcano (Colombia)
Many of the recent ash eruptions of Galeras volcano (Colombia) have been preceded by tornillos. These unusual seismic events of unknown origin have screw-like profiles on seismograms and can last up to several minutes.
D. M. Gomez M.+4 more
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We consider the subalgebra of the Fréchet algebra of entire functions of bounded type, generated by a countable set of algebraically independent homogeneous polynomials on the complex Banach space $X.$ We investigate the spectrum of this subalgebra in ...
S.I. Vasylyshyn
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Certain properties of a class of analytic functions involving the Mathieu type power series
In this paper, we studied some geometric properties of a class of analytic functions related to the generalized Mathieu type power series. Furthermore, we have identified interesting consequences and some examples accompanied by graphical representations
Abdulaziz Alenazi, Khaled Mehrez
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On the univalence of polyanalytic functions [PDF]
A continuous complex-valued function $F$ in a domain $D\subseteq\mathbf{C}$ is Poly-analytic of order $\alpha$ if it satisfies $\partial^{\alpha}_{\overline{z}}F=0.$ One can show that $F$ has the form $F(z)={\displaystyle\sum\limits_{0}^{n-1}}\overline{z}^{k}A_{k}(z)$, where each $A_k$ is an analytic function$.$ In this paper, we prove the existence of
arxiv