Partial differential equations and strictly plurisubharmonic functions in several variables [PDF]
Usando métodos algebraicos, probamos que existe una relación fundamental entre las ecuaciones diferenciales parciales y las funciones estrictamente plurisubarmónicas sobre los dominios de ℂⁿ(n ≥1).Using algebraic methods, we prove that there exists a ...
Abidi, Jamel
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A Linear System of Differential Equations Related to Vector-Valued Jack Polynomials on the Torus [PDF]
For each irreducible module of the symmetric group SN there is a set of parametrized nonsymmetric Jack polynomials in N variables taking values in the module.
Dunkl, C.F.
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Computing semi-commuting differential operators in one and multiple variables [PDF]
We discuss the concept of what we refer to as semi-commuting linear differential operators. Such operators hold commuting operators as a special case. In particular, we discuss a heuristic by which one may construct such operators.
Robert A. Van Gorder
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Kink phenomena of the time-space fractional Oskolkov equation [PDF]
In this study, we applied the Riccati-Bernoulli sub-ODE method and Bäcklund transformation to analyze the time-space fractional Oskolkov equation for kink solutions by matching the coefficients and optimal series parameters.
Ali M. Mahnashi +2 more
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The $\partial$-Operator and Real Holomorphic Vector Fields
Let $(M,h)$ be a Hermitian manifold and $\psi$ a smooth weight function on $M$. The $\partial$-complex on weighted Bergman spaces $A^2_{(p,0)}(M,h, e^{-\psi})$ of holomorphic $(p,0)$-forms was recently studied in [[10] and [9].
Haslinger, Friedrich, Son, Duong Ngoc
core
Erythropoietin prevents necrotizing enterocolitis in very preterm infants: a randomized controlled trial. [PDF]
Wang Y +19 more
europepmc +1 more source
Solutions for several systems of algebraic differential-difference equations in $\mathbb{C}^n$
In this article, we introduce a new method for solving general quadratic functional equations in $\mathbb{C}^n$. By utilizing Nevanlinna theory in $\mathbb{C}^n$, we explore the existence and form of solutions for the several systems of general quadratic
Ahamed, Molla Basir, Mandal, Sanju
core
Special metrics in hypercomplex geometry
We provide a detailed treatment of special hyperhermitian metrics on hypercomplex manifolds. The quaternionic Gauduchon and quaternionic balanced conditions are investigated at length: we describe their properties and characterize their existence.
Fusi, Elia, Gentili, Giovanni
core
Fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric [PDF]
Gentili, Giovanni
core
STOCHASTIC SOLUTIONS FOR HYPERBOLIC PDE [PDF]
Mansouri, Abdol-Reza, Selk, Zachary
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