E-functions and G-functions
نویسنده
چکیده
3 E-functions 11 3.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.2 Ring structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.3 Transcendence results . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.4 Y.André’s theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.5 Basic E-functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.6 Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.7 An example of relations between E-functions . . . . . . . . . . . . . . . 16
منابع مشابه
Simple Functions for Predicting Thermodynamic Properties of Ammonia-Water Mixture (RESEARCH NOTE)
The engineering calculation and simulation of absorption refrigeration systems require the availability of simple and efficient functions for the determination of thermodynamic property values of the operating fluid. This work presents a set of five simple and explicit functions for the determination of the vapor - liquid equilibrium properties of the ammonia-water mixture. The functions are co...
متن کاملOn weakly e*-open and weakly e*-closed Functions
The aim of this paper is to introduce and study two new classes of functions called weakly $e^{*}$-open functions and weakly $e^{*}$-closed functions via the concept of $e^{*}$-open set defined by Ekici cite{erd1}. The notions of weakly $e^{*}$-open and weakly $e^{*}$-closed functions are weaker than the notions of weakly $beta$-open and weakly $beta$-closed functions defined by Caldas and Nava...
متن کاملFuzzy weakly $e$-closed functions
In this paper, we introduce and characterize fuzzy wea-kly $e$-closed functions in fuzzy topological spaces and the relationship between these mappings and some properties of them are investigated.
متن کاملOn the signed Roman edge k-domination in graphs
Let $kgeq 1$ be an integer, and $G=(V,E)$ be a finite and simplegraph. The closed neighborhood $N_G[e]$ of an edge $e$ in a graph$G$ is the set consisting of $e$ and all edges having a commonend-vertex with $e$. A signed Roman edge $k$-dominating function(SREkDF) on a graph $G$ is a function $f:E rightarrow{-1,1,2}$ satisfying the conditions that (i) for every edge $e$of $G$, $sum _{xin N[e]} f...
متن کاملOn characterizations of weakly $e$-irresolute functions
The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.
متن کاملDetermination of e ω , e e x ω , e B , and e α using potential energy functions for heteronuclear diatomic molecules via spreadsheet program
In order to represent the potential energy function over the whole range of R, many potentialenergy functions have been proposed. In the present paper, we employ many potential energyfunctions, to use Numerov method for solving the nuclear Schrödinger equation for the IFmolecule, as an example of a heteronuclear diatomic molecules. Then we determine thespectroscopic constants eω , e e x ω , e B...
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 2008