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A theoretical approach to the unification of informetric models by wave‐heat equations

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  • Fred Y. Ye

Abstract

A simple distribution function f(x, t)=p(x+q)−βeαt obeys wave and heat equations, that constructs a theoretical approach to the unification of informetric models, with which we can unify all informetric laws. While its space‐type distributions deduce naturally Lotka‐type laws in size approaches and Zipf‐type laws in rank approaches, its time‐type distributions introduce the mechanism of Price‐type and Brookes‐type laws.

Suggested Citation

  • Fred Y. Ye, 2011. "A theoretical approach to the unification of informetric models by wave‐heat equations," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 62(6), pages 1208-1211, June.
    • Handle: RePEc:bla:jamist:v:62:y:2011:i:6:p:1208-1211
    DOI: 10.1002/asi.21498
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    Cited by:

    1. Liu, Joan Q. & Rousseau, Ronald & Wang, Mona S. & Ye, Fred Y., 2013. "Ratios of h-cores, h-tails and uncited sources in sets of scientific papers and technical patents," Journal of Informetrics, Elsevier, vol. 7(1), pages 190-197.

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