Certain Properties of Some Special Matrix Functions via Lie Algebra

نویسندگان

  • Ritu Agarwal
  • Sonal Jain
چکیده

In this paper, we establish a result concerning eigenvector for the product of two operators C and D defined on a Lie algebra of endomorphisms of a vector space. Further, A new method has been devised to define some properties viz. differential recurrence relations and differential equations of 2-variables generalized Hermite matrix polynomials and 2variables matrix Laguerre polynomials to derive certain results involving these polynomial.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Solutions for Fokker-Plank Equation of‎ ‎Special Stochastic Process via Lie Point Symmetries

‎In this paper Lie symmetry analysis is applied in order to find new solutions for Fokker Plank equation of Ornstein-Uhlenbeck process‎. ‎This analysis classifies the solutions format of the Fokker Plank equation by using the Lie algebra of the symmetries of our considered stochastic process‎.

متن کامل

Some properties of nilpotent Lie algebras

In this article, using the definitions of central series and nilpotency in the Lie algebras, we give some results similar to the works of Hulse and Lennox in 1976 and Hekster in 1986. Finally we will prove that every non trivial ideal of a nilpotent Lie algebra nontrivially intersects with the centre of Lie algebra, which is similar to Philip Hall's result in the group theory.

متن کامل

Generating Relations of Hermite–tricomi Functions Using a Representation of Lie Algebra

Motivated by recent studies of the properties of new classes of polynomials constructed in terms of quasi-monomials, certain generating relations involving Hermite–Tricomi functions are obtained. To accomplish this we use the representation Q(w,m0) of the 3-dimensional Lie algebra T3. Some special cases are also discussed. 2000 Mathematics Subject Classification: 33C45, 33C50, 33C80.

متن کامل

On Certain Properties of Some Generalized Special Functions

In this paper, we derive a result concerning eigenvector for the product of two operators defined on a Lie algebra of endomorphisms of a vector space. The results given by Radulescu, Mandal and authors follow as special cases of this result. Further using these results, we deduce certain properties of generalized Hermite polynomials and Hermite Tricomi functions. 2000 Mathematics Subject Classi...

متن کامل

Dirichlet Branes and a Cohomological Definition of Time Flow

Dirichlet branes are objects whose transverse coordinates in space are matrix– valued functions. This leads to considering a matrix algebra or, more generally, a Lie algebra, as the classical phase space of a certain dynamics where the multiplication of coordinates, being given by matrix multiplication, is nonabelian. Further quantising this dynamics by means of a ⋆–product introduces noncommut...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015