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Hadamard Compositions of Gelfond–Leont’ev Derivatives

Axioms, 2022
For analytic functions fj(z)=∑n=0∞an,jzn, 1≤j≤p, the notion of a Hadamard composition (f1∗…∗fp)m=∑n=0∞∑k1+⋯+kp=mck1…kpan,1k1·…·an,pkpzn of genus m is introduced.
Myroslav Sheremeta
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Fast acquisition of high resolution liquid NMR spectroscopy [PDF]

Magnetic Resonance Letters
Nuclear magnetic resonance (NMR) spectroscopy is a powerful tool for analyzing molecular structure and composition. However, traditional NMR experiments suffer from long acquisition times, especially in multidimensional NMR spectroscopy. This problem, to
Wen Zhu, Mengjie Qiu, Yao Luo, Xiaoqi Shi, Zhong Chen, Yanqin Lin   +5 more
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On the Relative Φ-Growth of Hadamard Compositions of Dirichlet Series

Axioms
For the Dirichlet series F(s)=∑n=1∞fnexp{sλn}, which is the Hadamard composition of the genus m of similar Dirichlet series Fj(s) with the same exponents, the growth with respect to the function G(s) given as the Dirichlet series is studied in terms of ...
Myroslav Sheremeta, Oksana Mulyava
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On Hadamard composition of Gelfond-Leont'ev derivatives of entire and analytic functions in the unit disk

Karpatsʹkì Matematičnì Publìkacìï, 2021
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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Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series

Universal Journal of Mathematics and Applications, 2023
Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
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On Dirichlet series similar to Hadamard compositions in half-plane

Karpatsʹkì Matematičnì Publìkacìï, 2023
Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura, O.M. Mulyava, M.M. Sheremeta   +2 more
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STABILITY-PRESERVING PERTURBATION OF THE MAXIMAL TERMS OF DIRICHLET SERIES

Проблемы анализа, 2022
We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of ...
A. M. Gaisin, N. N. Aitkuzhina
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The Hadamard compositions of Dirichlet series absolutely converging in half-plane

Математичні Студії, 2020
For Dirichlet series with different finite abscissas of absolute convergence in terms of generalized orders the growth of the Hadamard composition of their derivatives is investigated.
M.M. Sheremeta, O.M. Mulyava
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Differential Subordination and Superordination of Multivalent Functions Involving Differential Operator

Al-Mustansiriyah Journal of Science, 2021
In the present work, we derive some properties of subordination and superordination results associated with the Hadamard product concept involving the composition of the differential operator.
Huda Fawzi Isawi, Abdul Rahman S. Juma
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Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$

Математичні Студії, 2020
The concepts of the pseudostarlikeness of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ and the pseudoconvexity of order $\alpha$ and type $\beta$ are introduced for Dirichlet series with null abscissa of absolute convergence.
M.M. Sheremeta
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