Results 1 to 6 of about 7 (6)
On Dirichlet series similar to Hadamard compositions in half-plane [PDF]
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
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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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Pseudostarlike and pseudoconvex solutions of a differential equation with exponential coefficients
Математичні Студії, 2021 Dirichlet series $F(s)=e^{s}+\sum_{k=1}^{\infty}f_ke^{s\lambda_k}$ with the exponents ...
M.M. Sheremeta
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Pseudostarlike and pseudoconvex in a direction multiple Dirichlet series
Математичні Студії, 2023 The article introduces the concepts of pseudostarlikeness and pseudoconvexity in the direction of absolutely converges in $\Pi_0=\{s\in\mathbb{C}^p\colon \text{Re}\,sh$, $\text{Re ...
M. M. Sheremeta, O. B. Skaskiv
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Coefficient Bounds for a Certain Family of Biunivalent Functions Defined by Gegenbauer Polynomials
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In the present work, by making use of Gegenbauer polynomials, we introduce and study a certain family of λ‐pseudo bistarlike and λ‐pseudo biconvex functions with respect to symmetrical points defined in the open unit disk. We obtain estimates for initial coefficients and solve the Fekete–Szego¨ problem for functions that belong to this family ...
Isra Al-Shbeil +4 more
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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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