搜索结果: 1-15 共查到“应用数学 a-function”相关记录67条 . 查询时间(0.136 秒)
ON CONWAY’S POTEN TIA L FUNCTION FOR COLORED LINKS
colored links Conway potential function Alexander polynomial skein relations
2014/10/10
The Conway potential function (CPF) for colored links is a convenient version of the multi-variable Alexander-Conway polynomial. We give a skein characterization of CPF which is much simpler than the ...
The generating function for the Dirichlet series Lm(s)
Dirichlet series generalized Euler and class number ∧-alternating augmented m-signed permutation r-cubical lattice Springer number
2014/6/3
The Dirichlet series Lm(s) are of fundamental importance in number theory. Shanks defined the generalized Euler and class numbers in connection with the Dirichlet series, denoted by {sm, n}n≥0. We obt...
Behavior of the singular solutions of the problem governed by the adjunct of the Laplace operator affected by a weight function near the tops of plane polygon
Singularity Polygon function
2010/9/21
In this work, we study the behavior of the singular solutions of the problem governed by the adjunct of the laplacian operator affected by a weight function in a polygon. First, the study will be done...
On an elliptic boundary problem governed by a Laplacian operator perturbed by a spectral parameter and affected by a weight function in a plane polygon
Spectral prameter Polygon
2010/9/21
In this work, we study the problem governed by the laplacian operator perturbed by a spectral parameter and affected by a weight function in a polygon. First, the study will be done in a plane sector....
A family of fractional integrals pertaining to multivariable I-function
Fractional integral Eulerian integral
2010/9/25
The object of this paper is to derive an Eulerian integral and a main theorem based upon the fractional operator associated with ¯H -function [3] and multivariable I-function [4] which provide un...
A generalization of the implicit function theorem
Implicit Function Theorem convex subsets Banach spaces
2010/9/25
In this work, we generalize the classical theorem of the implicit function, for functions whose domains are open subset of Banach spaces in to a Banach space, to the case of functions whose domains ar...
Unitary representations of a loop ax+b group, Wiener measure and Gamma-function
Unitary representations loop ax+b group Wiener measure Gamma-function
2011/2/24
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to ...
On the Gram's Law in the Theory of Riemann Zeta Function
the Gram's Law in the Theory Riemann Zeta Function
2010/11/23
Some statements concerning the distribution of imaginary parts of zeros of the Riemann zeta\,-function are established. These assertions are connected with so\,-called `Gram's law' or `Gram's rule'. I...
Cut-and-Join operator representation for Kontsewich-Witten tau-function
Cut-and-Join operator representation Kontsewich-Witten tau-function
2010/12/16
In this short note we construct a simple cut-and-join operator representation for Kontsevich-Witten tau-function that is the partition function of the two-dimensional topological gravity. Our derivati...
On Stanley's Partition Function
partition function Jacobi's triple product identity hook length
2014/6/3
Stanley defined a partition function t(n) as the number of partitions λ of n such that the number of odd parts of λ is congruent to the number of odd parts of the conjugate partition λ' modulo 4. We s...
Bayesian estimation for the Pareto parameters using quasi-likelihood function
Linear Model Bayesian Method of Estimation Quasi-Likelihood
2010/9/10
In this paper, Bayesian estimation for the Pareto distribution, this thesis aims to investigate the possibility of using the quasi-likelihood function in the Bayesian approach. We introduce a new meth...
Costas arrays and the extension of Lambert's function on finite fields
Lambert function Costas arrays Golomb rulers
2010/9/13
Motivated by a problem in Costas arrays, we suggest a generalization of Lambert’s W-function in finite fields and study some of its properties.
Properties of conditional fitting the semi-parametric model using the quasi-likelihood function
conditional quasi-likelihood function non-orthogonal estimating functions autoregressive model
2010/9/15
We show what properties of the time series we can find by examining the behavior of the conditional quasi-likelihood function, even when the time series does not necessarily satisfy the model and is n...
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions
Zeta function Incomplete gamma functions
2010/9/17
We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive intege...
Moment generating function of the bivariate generalized exponential distribution
bivariate generalized exponential distribution joint and marginal moments
2010/9/17
Recently a new distribution, named a bivariate generalized exponential (BVGE) distribution has been introduced by Kundu and Gupta (2008). In this paper we obtain joint moments and the moment generatin...