Results 1 to 10 of about 820 (128)
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
doaj +5 more sources
On the Relative Φ-Growth of Hadamard Compositions of Dirichlet Series
AxiomsFor 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
doaj +4 more sources
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 +2 more
doaj +2 more sources
On entire Dirichlet series similar to Hadamard compositions
Математичні Студії, 2023 A function $F(s)=\sum_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with $0\le\lambda_n\uparrow+\infty$ is called the Hadamard composition of the genus $m\ge 1$ of functions $F_j(s)=\sum_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}$ if $a_n=P(a_{n,1},...,a_{n,p ...
O.M. Mulyava, M. M. Sheremeta
doaj +2 more sources
A Synthesis of the Theorems of Hadamard and Hurwitz on Composition of Singularities [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1931 The two well-known classical theorems on composition of singularities due to Hadamard' and Hurwitz2 one would expect to be interrelated in some way. In fact, Professor Hille has drawn my attention to this possibility in connection with my earlier paper on composition of singularities.3 The purpose of this paper is to prove the following theorem which ...
W J Trjitzinsky
exaly +4 more sources
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
doaj +3 more sources
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
doaj +4 more sources
Fast acquisition of high resolution liquid NMR spectroscopy [PDF]
Magnetic Resonance LettersNuclear 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 +5 more
doaj +2 more sources
Математичні Студії, 2020 For analytic functions $$f(z)=z+\sum\limits_{k=2}^{\infty}f_kz^k \mbox{ and } g(z)=z+\sum\limits_{k=2}^{\infty}g_kz^k$$ in the unit disk properties of the Hadamard compositions $D^n_{l,[S]}f*D^n_{l,[S]}g$ and $D^n_{l,[R]}f*D^n_{l,[R]}g$ of their Gelfond ...
M.M. Sheremeta
doaj +3 more sources
Relative growth of Hadamard compositions of Dirichlet series absolutely convergent in a half-plane
Математичні СтудіїLet $\Lambda=(\lambda_n)$ be a positive sequence increasing to $+\infty$ and $S(\Lambda,A)$ be a class of Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp \{s\lambda_n\}$ with the abscissa of absolute convergence $A\in (-\infty,\,+\infty]$.
O.M. Mulyava +2 more
doaj +3 more sources