Results 11 to 20 of about 16,027 (213)
On composition of four-symbol 𝛿-codes and Hadamard matrices [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that key instruments for composition of four-symbol δ \delta -codes are the Lagrange identity for polynomials, a certain type of quasisymmetric sequences (i.e., a set of normal or near normal sequences) and base sequences.
C. H. Yang
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Relative growth of Hadamard compositions of entire Dirichlet series
Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna, 2023 Summary: Let \(F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}\) and \(F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\}\) be entire Dirichlet series with exponents \( 0\le\lambda_n\uparrow+\infty\). The function \(F\) is called Hadamard composition of the genus \(m \geq 1\) of the functions \(F_j\) if \( a_n=P(a_{n,1},\dots ,a_{n,p ...
O. M. Mulyava +2 more
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A Synthesis of the Theorems of Hadamard and Hurwitz on Composition of Singularities [PDF]
Proceedings of the National Academy of Sciences, 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
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Karpatsʹkì Matematičnì Publìkacìï, 2013 The conditions are found, under which the belonging to Valiron convergence class of entire functions $f$ and $g$ implies the belonging to this class of Gelfond-Leont'ev derivative of Hadamard composition of functions $f$ and $g$ and of Hadamard ...
O. M. Mulyava, M. M. Sheremeta
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HADAMARD COMPOSITION OF SERIES IN SYSTEMS OF FUNCTIONS
Bukovinian Mathematical Journal, 2023 For regularly converging in ${\Bbb C}$ series $A_j(z)=\sum\limits_{n=1}^{\infty}a_{n,j}f(\lambda_nz)$, $1\le j\le p$, where $f$ is an entire transcendental function, the asymptotic behavior of a Hadamard composition $A(z)=\break=(A_1*...*A_p)_m(z)=\sum\limits_{n=1}^{\infty} \left(\sum\limits_{k_1+\dots+k_p=m}c_{k_1...k_p}a_{n,1}^{k_1}\cdot...\cdot a_{n,
M. M. Sheremeta
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On some compositions of Hadamard type in classes of analytic functions [PDF]
Bulletin of the American Mathematical Society, 1959 (1) ft(s) £ — «• n-i n leads to an element of the same class. A little weaker conjecture than I would be the following: CONJECTURE I I . h(z) has a nonvanishing derivative in \z\ < 1 . The Conjecture I would mean that under this composition rule 5 forms a semi-group containing the unit element z/(l— z).
Charles Loewner, E. Netanyahu
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Analytic Continuation of Diagonals and Hadamard Compositions of Multiple Power Series [PDF]
Transactions of the American Mathematical Society, 1938 R. H. Cameron, W. T. Martin
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Compositions of Hadamard-type fractional integration operators and the semigroup property
Journal of Mathematical Analysis and Applications, 2002 The well-known Liouville fractional integration on \(\mathbb{R}^1\) is invariant with respect to translations. The corresponding form of fractional integration on \(\mathbb{R}^1_+\) invariant with respect to dilations (obtained from the Liouville form by obvious logarithmic change of variables) is known as the Hadamard fractional integration, having ...
P. L. Butzer +2 more
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On Dirichlet series like to compositions of Hadamard
Matematychni Studii, 2019 O. M. Mulyava, M. M. Sheremeta
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Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna, 2019 O. M. Mulyava, M. M. Sheremeta
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