Zobrazeno 1 - 10
of 1 224
pro vyhledávání: '"Cauchy's integral theorem"'
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7695-7710 (2020)
A new theory of analytic functions has been recently introduced in the sense of conformable fractional derivative. In addition, the concept of fractional contour integral has also been developed. In this paper, we propose and prove some new results o
Externí odkaz:
https://doaj.org/article/c74ef25a493446a8bcb8fa2c89900c25
Autor:
Zeng-Tai Gong, Zhiyong Xiao
Publikováno v:
Fuzzy Sets and Systems. 417:1-45
As a key theoretical basis of fuzzy complex analysis, a new representation of fuzzy complex numbers is proposed in this paper which unifies the exponential form, trigonometric form and algebraic form of fuzzy complex numbers, and some arithmetic oper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c327b32f4f48b3c4803c19648ad1c769
https://doi.org/10.1016/j.fss.2020.12.021
https://doi.org/10.1016/j.fss.2020.12.021
Akademický článek
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Autor:
A. I. Petrosyan
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 55:303-306
In the paper the formulas for derivatives of the Cauchy type integral K[f] of smooth functions f on the distinguished boundary of a polydisc are given. These formulas express the derivatives of orderm from K[f] through the derivatives of lower order
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41dc9b5f9919c1a8d82186a172349b2e
https://doi.org/10.3103/s1068362320050040
https://doi.org/10.3103/s1068362320050040
Publikováno v:
Glasgow Mathematical Journal. 63:438-450
Let $\mathcal{C}$ be a fusion category over an algebraically closed field $\mathbb{k}$ of arbitrary characteristic. Two numerical invariants of $\mathcal{C}$ , that is, the Casimir number and the determinant of $\mathcal{C}$ are considered in this pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea46f399bbcb857e0e2e83f56ff64b51
https://doi.org/10.1017/s0017089520000294
https://doi.org/10.1017/s0017089520000294
Autor:
Christian Gontrand
Publikováno v:
Digital Communication Techniques. :183-201
This chapter begins with an introduction on z‐transforms. The z‐transform is the broadest concept for converting discrete‐time series. The Laplace transform is the broadest concept for converting continuous‐time processes. The inverse z‐tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5bf25f2446c330e9229496ab0063308
https://doi.org/10.1002/9781119705260.ch3
https://doi.org/10.1002/9781119705260.ch3
Publikováno v:
Complex Variables and Elliptic Equations. 65:1826-1845
In this paper, we define k-holomorphic functions in Cn and study their properties. We obtain some conclusions parallel to the properties of holomorphic functions, such as Cauchy integral theorem, C...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa2073f5ca004fbfb5e77c63c7fc3b5f
https://doi.org/10.1080/17476933.2019.1681417
https://doi.org/10.1080/17476933.2019.1681417
Autor:
W. I. Skrypnik
Publikováno v:
Ukrainian Mathematical Journal. 71:131-144
The existence of holomorphic (in time) solutions of the nonrelativistic equations of motion of nonneutral systems of point charges that do not contain inverse powers of the speed of light greater than three is proved by using the Cauchy theorem. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4d3e89195321033ac89fd8f8bc518a22
https://doi.org/10.1007/s11253-019-01629-4
https://doi.org/10.1007/s11253-019-01629-4
Autor:
J. Oscar González Cervantes
Publikováno v:
Complex Analysis and Operator Theory. 13:2527-2539
The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of quaternionic slice regular functions, is a member of a family of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f74c7cecc7e5f1bf141e5a2d60ad486c
https://doi.org/10.1007/s11785-019-00913-2
https://doi.org/10.1007/s11785-019-00913-2
Autor:
Jacob S. Christiansen
Publikováno v:
Journal d'Analyse Mathématique. 137:723-749
We introduce the Szegő class, Sz(E), for an arbitrary Parreau–Widom set E ⊂ ℝ and study the dynamics of its elements under the left shift. When the direct Cauchy theorem holds on ℂ\E, we show that to each J ∈ Sz(E) there is a unique elemen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f5913e93ed20dbb9553873e7d5539db
https://doi.org/10.1007/s11854-019-0013-y
https://doi.org/10.1007/s11854-019-0013-y