scholarly journals Connes Integration Formula for the Noncommutative Plane

2017 ◽  
Vol 359 (2) ◽  
pp. 449-466 ◽  
Author(s):  
F. Sukochev ◽  
D. Zanin
Keyword(s):  
Integration Formula ◽  
Noncommutative Plane

A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Filomat ◽  
2016 ◽  
Vol 30 (7) ◽  
pp. 1931-1939 ◽  
Author(s):  
Junesang Choi ◽  
Praveen Agarwal
Keyword(s):  
Integral Operator ◽  
Fractional Calculus ◽  
Fractional Integral ◽  
Fractional Integration ◽  
Fractional Integral Operator ◽  
Integration Formula ◽  
Special Cases

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.

scholarly journals N= 2 supersymmetric radiation damping problem on a noncommutative plane

2014 ◽  
Vol 526 (5-6) ◽  
pp. 227-234
Author(s):  
Everton M. C. Abreu ◽  
Albert C. R. Mendes ◽  
Wilson Oliveira
Keyword(s):  
Radiation Damping ◽  
Noncommutative Plane

scholarly journals Unconditional Positive Stable Numerical Solution of Partial Integrodifferential Option Pricing Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
M. Fakharany ◽  
R. Company ◽  
L. Jódar
Keyword(s):  
Option Pricing ◽  
Numerical Solution ◽  
Numerical Solutions ◽  
Stable Process ◽  
Integration Formula ◽  
Pricing Models ◽  
Integral Term ◽  
Pricing Problems ◽  
Stability And Consistency ◽  
Partial Integrodifferential Equation

This paper is concerned with the numerical solution of partial integrodifferential equation for option pricing models under a tempered stable process known as CGMY model. A double discretization finite difference scheme is used for the treatment of the unbounded nonlocal integral term. We also introduce in the scheme the Patankar-trick to guarantee unconditional nonnegative numerical solutions. Integration formula of open type is used in order to improve the accuracy of the approximation of the integral part. Stability and consistency are also studied. Illustrative examples are included.

scholarly journals UV divergence-free QFT on noncommutative plane

2003 ◽  
Vol 36 (45) ◽  
pp. 11545 ◽  
Author(s):  
A Smailagic ◽  
E Spallucci
Keyword(s):  
Divergence Free ◽  
Noncommutative Plane

The Geometry of Noncommutative Plane Curves

2008 ◽  
Vol 36 (9) ◽  
pp. 3467-3477 ◽  
Author(s):  
Søren Jøndrup
Keyword(s):  
Plane Curves ◽  
Noncommutative Plane

scholarly journals Hermitian realizations of κ-Minkowski space–time

2015 ◽  
Vol 30 (03) ◽  
pp. 1550019 ◽  
Author(s):  
Domagoj Kovačević ◽  
Stjepan Meljanac ◽  
Andjelo Samsarov ◽  
Zoran Škoda
Keyword(s):  
Minkowski Space ◽  
Star Product ◽  
Plane Waves ◽  
Space Time ◽  
Star Products ◽  
Systematic Construction ◽  
Minkowski Space Time ◽  
Noncommutative Plane

General realizations, star products and plane waves for κ-Minkowski space–time are considered. Systematic construction of general Hermitian realization is presented, with special emphasis on noncommutative plane waves and Hermitian star product. Few examples are elaborated and possible physical applications are mentioned.

Fractional Angular Momentum of an Atom on a Noncommutative Plane

2019 ◽  
Vol 71 (11) ◽  
pp. 1353
Author(s):  
Jian Jing ◽  
Qiu-Yue Zhang ◽  
Qing Wang ◽  
Zheng-Wen Long ◽  
Shi-Hai Dong
Keyword(s):  
Angular Momentum ◽  
Noncommutative Plane

scholarly journals The CP(n) model on noncommutative plane

2001 ◽  
Vol 498 (3-4) ◽  
pp. 277-284 ◽  
Author(s):  
Bum-Hoon Lee ◽  
Kimyeong Lee ◽  
Hyun Seok Yang
Keyword(s):  
Noncommutative Plane
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