Results 21 to 30 of about 122 (116)
On the Fock Kernel for the Generalized Fock Space and Generalized Hypergeometric Series
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we compute the reproducing kernel Bm,α(z, w) for the generalized Fock space Fm,α2ℂ. The usual Fock space is the case when m = 2. We express the reproducing kernel in terms of a suitable hypergeometric series 1Fq. In particular, we show that there is a close connection between B4,α(z, w) and the error function.
Jong-Do Park, Guozhen Lu
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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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Pseudoconvex classes of functions. I. Pseudoconcave and pseudoconvex sets [PDF]
Pacific Journal of Mathematics, 1988 This is a joint review for parts I-III. Natural classes of subharmonic, plurisubharmonic, convex and q- plurisubharmonic functions have a number of common properties which can be reduced to several basic ones. Taking these as axioms, the author defines in Part I the general notion of a pseudoconvex class of functions.
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Midpoint Inequalities via Strong Convexity Using Positive Weighted Symmetry Kernels
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In the present research, we generalize the midpoint inequalities for strongly convex functions in weighted fractional integral settings. Our results generalize many existing results and can be considered as extension of existing results.
Hengxiao Qi +4 more
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The disk property. A short survey
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We present some results obtained over the years regarding the disk property for complex manifolds and its connections with ...
Joiţa Cezar
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A smooth pseudoconvex domain without pseudoconvex exhaustion
Manuscripta Mathematica, 1982 A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.
Diederich, Klas, Fornaess, John Erik
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A Characterization of Weak Pseudoconvexity [PDF]
Proceedings of the American Mathematical Society, 1989 It is proved that a smooth domain D D of
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Commentarii Mathematici Helvetici, 1992 Folgendes Problem wird diskutiert: gibt es zu jedem Punkt \(z^ 0\) eines Gebietes \(G\Subset\mathbb{C}^ N\) \((N\geq 2)\) und zu jeder Richtung \(X\in\mathbb{C}^ N\), \(X\neq 0\), eine eigentliche holomorphe Abbildung \(F:\Delta\to G\) mit: \(F(0)=z^ 0\) und \(F'(0)=\lambda X\), \(\lambda>0\); \(\Delta\) bezeichne hier den offenen Einheitskreis der ...
Forstneric, Franc, Globevnik, Josip
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Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming
Abstract and Applied Analysis, 2011 This paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second-order F-convexity ...
Ravi P. Agarwal +3 more
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Complexity, Volume 2020, Issue 1, 2020., 2020 This paper is devoted to the investigation of optimality conditions for approximate quasi weak efficient solutions for a class of vector equilibrium problem (VEP). First, a necessary optimality condition for approximate quasi weak efficient solutions to VEP is established by utilizing the separation theorem with respect to the quasirelative interior of
Yameng Zhang +3 more
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