On the Problem of Uniqueness for the Maximum Stirling Number(s) of the Second Kind
نویسندگان
چکیده
Say that an integer n is exceptional if the maximum Stirling number of the second kind S(n, k) occurs for two (of necessity consecutive) values of k. We prove that the number of exceptional integers less than or equal to x is O(x), for any ǫ > 0.
منابع مشابه
Stirling number of the fourth kind and lucky partitions of a finite set
The concept of Lucky k-polynomials and in particular Lucky χ-polynomials was recently introduced. This paper introduces Stirling number of the fourth kind and Lucky partitions of a finite set in order to determine either the Lucky k- or Lucky χ-polynomial of a graph. The integer partitions influence Stirling partitions of the second kind.
متن کاملStirling Numbers and Generalized Zagreb Indices
We show how generalized Zagreb indices $M_1^k(G)$ can be computed by using a simple graph polynomial and Stirling numbers of the second kind. In that way we explain and clarify the meaning of a triangle of numbers used to establish the same result in an earlier reference.
متن کاملSensitivity analysis of dependency of working fluid thermo-dynamics properties to temperature on performance of Gama-type Stirling engine
This research proposes the effect of temperature variation in the Prandtl number on the power, the efficiency and the heat loss of the Gama-type Stirling engine. It should be noted that the Prandtl number included the viscosity, the thermal conductivity coefficient and the specific heat at constant pressures of the working fluid, which the temperature dependency of such first two thermo-dynamic...
متن کاملThe uniqueness theorem for inverse nodal problems with a chemical potential
In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.
متن کاملA Uniqueness Theorem of the Solution of an Inverse Spectral Problem
This paper is devoted to the proof of the unique solvability ofthe inverse problems for second-order differential operators withregular singularities. It is shown that the potential functioncan be determined from spectral data, also we prove a uniquenesstheorem in the inverse problem.
متن کاملذخیره 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 2002