Review

A Note on Error Functions and Some Related Special Functions

Volume: 10 Number: Special March 5, 2026

A Note on Error Functions and Some Related Special Functions

Abstract

In this note, priority is given to presenting essential information on the fundamental error functions, which play particularly different roles in the natural and engineering sciences, as well as some special functions closely related to them. Subsequently, various special relationships among these functions are highlighted, and finally, some selected applications of these relationships — emphasized through several references — are also proposed for interested readers.

Keywords

References

  1. [1] A. Erdelyi, W. Magnus, F. Oberhettinge, and F. G. Tricomi, Higher Transcendental Functions, I. McGraw-Hill, New York, Toronto, London, 1953.
  2. [2] E. D. Rainville, Special Functions, Macmillan: New York, NY, USA, 1960.
  3. [3] N. N. Lebedev, Special Functions and Their Applications, translated by R. A. Silverman, New Jersey, Prentice-Hall Inc, 1965.
  4. [4] W. Magnus and F. Oberhettinger, Formulas and Theorems for the Special Functions of Mathematical Physics, New York: Springer -Verlag, 1966.
  5. [5] M. Abramowitz and I. A. Milton, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, New York, Dover, 1972.
  6. [6] G. E. Andrews, R. Askey and R. Roy, Special Functions, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 1999.
  7. [7] G. A. Korn and T. M. Korn, Mathematical handbook for scientists and engineers: Definitions, theorems and formulas for reference and review, Dover Publications, 2000.
  8. [8] R. Beals and R. Wong, Special Functions: A Graduate Text, Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 2010.

Details

Primary Language

English

Subjects

Modelling and Simulation, Computational Methods in Fluid Flow, Heat and Mass Transfer (Incl. Computational Fluid Dynamics)

Journal Section

Review

Publication Date

March 5, 2026

Submission Date

February 4, 2026

Acceptance Date

February 26, 2026

Published in Issue

Year 2026 Volume: 10 Number: Special

APA
Irmak, H. (2026). A Note on Error Functions and Some Related Special Functions. International Journal of Engineering Science and Application, 10(Special), 9-14. https://izlik.org/JA57DH64FC
AMA
1.Irmak H. A Note on Error Functions and Some Related Special Functions. IJESA. 2026;10(Special):9-14. https://izlik.org/JA57DH64FC
Chicago
Irmak, Hüseyin. 2026. “A Note on Error Functions and Some Related Special Functions”. International Journal of Engineering Science and Application 10 (Special): 9-14. https://izlik.org/JA57DH64FC.
EndNote
Irmak H (March 1, 2026) A Note on Error Functions and Some Related Special Functions. International Journal of Engineering Science and Application 10 Special 9–14.
IEEE
[1]H. Irmak, “A Note on Error Functions and Some Related Special Functions”, IJESA, vol. 10, no. Special, pp. 9–14, Mar. 2026, [Online]. Available: https://izlik.org/JA57DH64FC
ISNAD
Irmak, Hüseyin. “A Note on Error Functions and Some Related Special Functions”. International Journal of Engineering Science and Application 10/Special (March 1, 2026): 9-14. https://izlik.org/JA57DH64FC.
JAMA
1.Irmak H. A Note on Error Functions and Some Related Special Functions. IJESA. 2026;10:9–14.
MLA
Irmak, Hüseyin. “A Note on Error Functions and Some Related Special Functions”. International Journal of Engineering Science and Application, vol. 10, no. Special, Mar. 2026, pp. 9-14, https://izlik.org/JA57DH64FC.
Vancouver
1.Hüseyin Irmak. A Note on Error Functions and Some Related Special Functions. IJESA [Internet]. 2026 Mar. 1;10(Special):9-14. Available from: https://izlik.org/JA57DH64FC

ISSN 2548-1185
e-ISSN 2587-2176
Period: Quarterly
Founded: 2016
e-mail: Ali.pasazade@nisantasi.edu.tr