The DOI matches its Crossref record.
An analytic expression for the luminosity function for galaxies.
Abstract
A new analytic approximation for the luminosity function for galaxies is proposed, which shows good agreement with both a luminosity distribution for bright nearby galaxies and a composite luminosity distribution for cluster galaxies. The analytic expression is proportional to LlL*, where L* is a characteristic luminosity corresponding to a characteristic absolute magnitude M*B(O) = -20.6. For an individual cluster, the characteristic magnitude may be determined with an accuracy of 0.25 mag, suggesting its use as a standard candle. The analytic expression is used to compute an expected richness-absolute magnitude correlation for first ranked cluster galaxies and an expected dispersion, which are compared with the data of Sand age and Hardy. Subject headings: galaxies: clusters of galaxies: photometry
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Star Formation in the Milky Way and Nearby Galaxies
Kennicutt, R. C., & Evans, N. J. (2012) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081811-125610 · Cited by 2,902
“The luminosities and masses of galaxies are well represented by an exponentially truncated power-law function (Schechter 1976): Φ(L) = (Φ∗/L∗)(L/L∗)αe(−L/L ∗) (3) The parameter α denotes the slope of the power-law function at low luminosities, and L∗ represents the luminosity above which the number…”
BackgroundMethodInfluentialHot Accretion Flows Around Black Holes
Yuan, F., & Narayan, R. (2014) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-082812-141003 · Cited by 1,529
The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations
Crain, R. A., Schaye, J., Bower, R. G., Furlong, M., Schaller, M., Theuns, T., Dalla Vecchia, C., Frenk, C. S., McCarthy, I. G., Helly, J. C., et al. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv725 · Cited by 1,451
The Luminosity Function of Galaxies in SDSS Commissioning Data
Blanton, M. R., Dalcanton, J., Eisenstein, D., Loveday, J., Strauss, M. A., SubbaRao, M., Weinberg, D. H., Anderson, Jr., Annis, J., Bahcall, N. A., et al. (2001) · The Astronomical Journal · doi:10.1086/320405 · Cited by 659
Pérez‐González, P. G., Rieke, G. H., Villar, V., Barro, G., Blaylock, M., Egami, E., Gallego, J., Gil de Paz, A., Pascual, S., Zamorano, J., et al. (2008) · The Astrophysical Journal · doi:10.1086/523690 · Cited by 601
Metadata
- Authors
- Schechter, P.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1976-01
- Volume
- 203
- Pages
- 297
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2024297548
- Cited by
- 2,870
- References
- 0
- FWCI
- 9.38
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: An analytic expression for the luminosity function for galaxies. https://app.cochat.ai/papers/10.1086/154079
- The paper
- Schechter, P. (1976). An analytic expression for the luminosity function for galaxies. The Astrophysical Journal. https://doi.org/10.1086/154079
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.