Results 131 to 140 of about 10,326,050 (296)

ON THE HYPERGEOMETRIC FUNCTION AND FAMILIES OF HOLOMORPHIC FUNCTIONS

open access: yesRevue Roumaine Mathematiques Pures Appliquees
In this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the set-theoretic properties of this family, identify the general form of filtrations within it, and discover that it is not a lattice.
Elin, Mark, Jacobzon, Fiana
openaire   +2 more sources

Holomorphic functions with growth conditions [PDF]

open access: yesTransactions of the American Mathematical Society, 1975
Let P be a p x q matrix of polynomials in n complex variables. If Q2 is a domain of holomorphy in Cnand u is a q-tuple of holomorphic functions we show that the equafion Pv = Pu has a solution v which is a holomorphic qtuple in Q2 and which satisfies an L2estimate in terms of Pu. Similar results have been obtained by Y.-T. Siu and R.
openaire   +2 more sources

Weighted holomorphic Besov spaces on the polydisk

open access: yesJournal of Function Spaces and Applications, 2011
This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation.
Anahit V. Harutyunyan, Wolfgang Lusky
doaj   +1 more source

Modular constraints on conformal field theories with currents

open access: yesJournal of High Energy Physics, 2017
We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the semi-definite ...
Jin-Beom Bae, Sungjay Lee, Jaewon Song
doaj   +1 more source

Derivations on algebras of holomorphic functions

open access: yesIndagationes Mathematicae (Proceedings), 1989
AbstractSuppose U is a domain in ℂn, not necessarily pseudoconvex, and D is a derivation on the algebra %plane1D;4AA;(U) of holomorphic functions on U, i.e. D : %plane1D;4AA;(U)→%plane1D;4AA;(U) is additive and satisfies Dfg=fDg+gDf for all ƒ,g ε %plane1D;4AA;(U). It is shown that there are h1,hnε%plane1D;4AA;(U) such that Df = Σi=1nhi ∂ƒ/∂Zi for all ƒ
R. G. M. Brummelhuis, P.J.I.M. de Paepe
openaire   +2 more sources

Holomorphic functions with dense sets of Plessner points [PDF]

open access: bronze, 1969
Peter Lappan, George Piranian
openalex   +1 more source

Home - About - Disclaimer - Privacy