multi-regular functionIn the classical complex analysis of several variables Lars Hoermander had been proven for Hartog's extension theorem. His proof is based on solving the inhomogeneous Cauchy-Riemann system. However, it is difficult when generalizing this diagram to prove this problem in Clifford...
H. Shon, Regular functions with values in ternary number system on the complex Clifford analysis, Abstr. Appl. Anal. 2013 (2013), Article ID 136120, 7 pages. 1J. E. Kim, S. J. Lim, K. H. Shon, Regular functions with values in ternary number system on the complex Clifford analysis...
We classify the differential df of a Fueter-regular function f, roughly speaking, in terms of how many choices of complex structures make df complex linear. It turns out that, generically, f is not holomorphic with respect to any choice of almost-complex structures. In the special case when...
4) complex hypermonogenic function 复超正则函数 1. In the first part of this paper,resorting to the idea of quasi-permutation which created by Sha Hang,we give the equivalent conditions of complex monogenic and complex hypermonogenic functions,define the complex hyperharmonic function and discuss...
6) regular function 正则函数 1. The Boundary Value Problem for Regular Functions on Unbounded Domains in Real Clifford Analysis; Clifford分析中无界域上正则函数的边值问题 2. In this paper,the vector-valuedregular functions are extended to the locally convex space. ...
2023 some new results for function theory in hypercomplex analysis with parameters article 11 may 2021 explore related subjects discover the latest articles and news from researchers in related subjects, suggested using machine learning. real functions functional analysis mathematics functions of a complex...
star-like function; Janowski star-like; differential subordination; Regular Coulombwave functions1. Introduction The Regular Coulomb wave function (RCWF) defined in the complex plane is an entire function and closely associated with the well-known classical Bessel function. The Coulomb wave functions ...
In 2008, this trick created eight different copies of the search loop, each with a tight inner loop optimized for its particular case. I noticed recently that the latest version of g++ refuses to inlineInlinedSearchLoopbecause it is such a large function, so there are no longer eight ...
For a Veech surface (and polygon), the quadratic bounds for the counting function f(ℓ) become quadratic asymptotics: f(ℓ)/ℓ2 has a limit as ℓ→∞. The value of this limit is expressed in arithmetical terms. A generic flat surface also has quadratic asymptotics. The value of ...
int OnInit() { //--- if (!lgb.Init(lightgbm_onnx)) //Initialize the LightGBM model return INIT_FAILED; //--- return(INIT_SUCCEEDED); } //+---+ //| Expert tick function | //+---+ void OnTick() { //--- if (NewBar()) //Trade at the opening of a ...