Skip to main content
SpringerLink
Log in

A new entire factorial function

  • Published:
The Ramanujan Journal Aims and scope Submit manuscript

Abstract

We introduce a new factorial function which agrees with the usual Euler gamma function at both the positive integers and at all half-integers, but which is also entire. We describe the basic features of this function.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

Data availability

n/a.

References

  1. Mollerup, J., Bohr, H.: Lærebog i Kompleks Analyse, vol. 3. Copenhagen (1922)

  2. Artin, E.: Einführung in die Theorie der Gammafunktion, Teubner, 1931. M. in The Gamma Function, Holt, Rinehart and Winston, Translated by Butler (1964)

  3. Remmert, R.: Wielandt’s theorem about the \(\Gamma \)-function. Am. Math. Monthly 103(3), 214–220 (1996)

    MathSciNet  MATH  Google Scholar 

  4. Hadamard, M. J.: Sur L’Expression Du Produit \(1\cdot 2\cdot 3\cdots (n-1)\) Par Une Fonction Entière, in: Œuvres de Jacques Hadamard, Centre National de la Recherche Scientifiques (1968)

Download references

Author information

Authors and Affiliations

  1. Laboratory for Elementary Particle Physics, Cornell University, Ithaca, NY, 14853, USA

    Matthew D. Klimek

  2. Department of Physics, Korea University, Seoul, 02841, Republic of Korea

    Matthew D. Klimek

Authors
  1. Matthew D. Klimek
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

All work was done by the author

Corresponding author

Correspondence to Matthew D. Klimek.

Ethics declarations

Conflict of interest

The authors have no relevant financial or non-financial interests to disclose.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

The author acknowledges the support of the U.S. National Science Foundation, through grant PHY-1719877, the Samsung Science & Technology Foundation, under Project Number SSTF-BA1601-07, and a Korea University Grant.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Klimek, M.D. A new entire factorial function. Ramanujan J 61, 757–762 (2023). https://doi.org/10.1007/s11139-023-00708-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11139-023-00708-2

Keywords

Mathematics Subject Classification

Search

Navigation