
arXiv: 2303.10011
A few new indices to characterize the scientific output of scientists are defined in the paper. These indices are compared with -index and its alternative indices using some proven assertions. The gd-indices are introduced as extensions of the g-index to define H-index as an improvement of the h-index. Numerous computational results which are conducted indicate the good behaviour of defined indices to evaluate the scientific impact of scientists. There exist very good approximations between some pairs of all considered indices in the sense that related ratios are often very close to 1.
Submitted. 27 pages, 11 tables, no figures; Expanded version with Corollaries 2.15, 2.17, 2.18, 2.19 and Table 9 added
FOS: Computer and information sciences, Physics - Physics and Society, 68-11, 62D05, 62G05, FOS: Physical sciences, Computer Science - Digital Libraries, Digital Libraries (cs.DL), Physics and Society (physics.soc-ph)
FOS: Computer and information sciences, Physics - Physics and Society, 68-11, 62D05, 62G05, FOS: Physical sciences, Computer Science - Digital Libraries, Digital Libraries (cs.DL), Physics and Society (physics.soc-ph)
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 2 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
