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...
Lim, K. H. Shon, Regular functions with values in ternary number system on the complex Clifford analysis, Abstract and Applied Analysis 2013 (ID.136120) (2013) 7 pages.Regular functions with values in ternary number system on the complex Clifford analysis, Abstr. Appl. Anal. 2013 (2013), ...
The aim of this work is to show how a number of results about slice-regular functions follow flawlessly from the analogous properties of holomorphic functions. For this purpose, we provide a general strategy by which properties of holomorphic functions can be translated in the setting of slice-r...
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...
Manipulation of data strings is the most complex processing function in information storage and retrieval applications. Data string manipulation is discussed within the context of an interpretive processing environment controlled by the use of procedural ...DOI: 10.1145/365876.365884 被...
The VBA function method is a powerful and flexible solution for complex or dynamic data manipulation tasks. However, it requires some programming skills and knowledge of VBA and REGEX. You may also need to enable macros or install libraries in Excel. ...
For example, here's the code for the same generated matching function when the expression is [ab]*[bc]: Copy private bool TryMatchAtCurrentPosition(ReadOnlySpan<char> inputSpan) { int pos = base.runtextpos; int matchStart = pos; int charloop_starting_pos = 0, charloop_ending_pos = ...
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...
Abstract Slice Fueter-regular functions, originally called slice Dirac-regular functions, are generalized holomorphic functions defined over the octonion algebra, recently introduced by M. Jin, G. Ren and I. Sabadini. A functionf:ΩD⊂O→Ois called (quaternionic) slice Fueter-regular if, given ...
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. ...