Extension of the Kibble-Slepian formula for Hermite polynomials using boson operator methods
نویسندگان
چکیده
منابع مشابه
the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach
abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...
15 صفحه اولWeyl-titchmarsh Type Formula for Hermite Operator with Small Perturbation
Small perturbations of the Jacobi matrix with weights √ n and zero diagonal are considered. A formula relating the asymptotics of polynomials of the first kind to the spectral density is obtained, which is analogue of the classical Weyl-Titchmarsh formula for the Schrödinger operator on the half-line with summable potential. Additionally a base of generalized eigenvectors for ”free” Hermite ope...
متن کاملdevelopment of different optical methods for determination of glucose using cadmium telluride quantum dots and silver nanoparticles
a simple, rapid and low-cost scanner spectroscopy method for the glucose determination by utilizing glucose oxidase and cdte/tga quantum dots as chromoionophore has been described. the detection was based on the combination of the glucose enzymatic reaction and the quenching effect of h2o2 on the cdte quantum dots (qds) photoluminescence.in this study glucose was determined by utilizing glucose...
On Hermite-hermite Matrix Polynomials
In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite ma...
متن کاملA Heterosexual Mehler Formula for the Straight Hermite Polynomials (À La Foata)
In my invited talk ‘The unreasonable effectiveness of Combinatorics in Orthogonal Polynomials I’, (July 1, 1998, 10:30-11:30 local time), at the IWOP ’98, Léganes, Madrid, (organized by Paco Marcellan and Renato Alvarez-Nodarse), I described, for most of the hour, Dominique Foata’s[F1] gorgeous and seminal proof of Mehler’s formula. As I got carried away in the exposition, I replaced the origin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1981
ISSN: 0196-8858
DOI: 10.1016/0196-8858(81)90005-1