h-C幂律关系模型推演及参数分析

The Power-law Model of h-C：Theoretical Deduction and Parameter Analysis

从Egghe-Rousseau模型和Glanzel-Schubert模型出发,推演出h指数与总被引次数C之间的幂函数关系模型（即h-C幂律关系模型）,此模型与之前的实证结果相符。模型中幂指数最大值为0.5。Hirsch模型可视为本模型的幂指数取最大值时的特殊形式。本模型应用的关键是洛特卡系数α的取值或估计,h=C^（α/（α^2＋1））是一种近似简化形式。

Based on Egghe-Rousseau model and Glanzel-Schubert model,a power-law model describing relation between h-index and citations C is deduced.This model is well agreement with the empirical results.The maximum power exponent of this model is 0.5 and Hirsch model is a special form while maximizing power exponent.The key of this model is value or estimation value of Lotka＇s exponent.h = C^（α/（α^2＋1）） is an approximate and simplified form of this model.