KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: SI-1

The complex error functions and various extensive results together with implications pertaining to certain special functions

Ravi P. AGARWAL
Hüseyin IRMAK
Praveen AGARWAL
Sayfa
662–674
Yayın Tarihi
2022-11-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The error functions play very important roles in science and technology.
📊
Temel Bulgular & Veri:In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented.
💡
Sonuç & Katkı:Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The error functions play very important roles in science and technology. In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented. Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.

🔖

Bu Makaleye Atıf Yap

AGARWAL, R. P., IRMAK, H., AGARWAL, P. (2022). The complex error functions and various extensive results together with implications pertaining to certain special functions. Turkish Journal of Mathematics, Cilt: 46 - Sayı: SI-1, 662–674. https://ajindex.com/articles/607205

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (15)

  1. Abramowitz M, Stegun IA. Confluent hypergeometric functions in Handbook of Mathematical Functions with Formulas. Graphs and Mathematical Tables, New York, 1972
  2. Agarwal P, Choi J, Jain S. Extended hypergeometric functions of two and three variables. Communications of the Korean Mathematical Society 2015; 30 (4): 403-414
  3. Agarwal P, Qi F, Chand M, Singh G. Some fractional differential equations involving generalized hypergeometric functions. Journal of Applied Analysis 2019; 25 (1): 37-44
  4. Agarwal P, Younis JA, Kim T. Certain generating functions for the quadruple hypergeometric series K10. Notes Number Theory Discrete Math 2019; 25 (4): 16-23
  5. Armstrong BH. Spectrum line profiles the Voigt function. Journal of Quantitative Spectroscopy and radiative transfer. 1967; 7: 61-88
  6. Berry MV. Uniform asymptotic smoothing of Stokes’s discontinuities. Proceddings of The Royal Society A Mathematical, Physical, and Engineering Sciences 1989; 422: 7-21
  7. Buchholz H. The confluent hypergeometric function with special emphasis on its applications. New York, SpringerVerlag, 1969
  8. Çetinkaya A, Kiymaz IO, Agarwal P, Agarwal RP. A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators. Advances in Difference Equations 2018; 2018 (1): 1-11
  9. Chiarella C, Reichel A. On the evaluation of integrals related to the error function. Mathematics of Computation 1968; 22: 137-143
  10. Emerson D. Interpreting astronomical spectra. John Wiley & Sons Ltd, 1996. [[11] Faddeyeva VN, Terentev NM. Terentev, Tables of the probability integral $w(z) = $e^{-z 2}$ ( 1 + 2i/sqrt{pi} int_0^z $e ^{−t 2} dt)$ for complex argument. Pergamon Press, Oxford, 1961
  11. Gautschi W. Efficient computation of the complex error function. SIAM Journal on Numerical Analysis 1970; 7: 187-198
  12. Gordeyev GV. Plasma oscillations in a magnetic Field. Journal of Experimental and Theoretical Physics 1952; 6: 660-669
  13. Goyal R, Momani S, Agarwal P, Rassias MT. An Extension of Beta Function by Using Wiman’s Function. Axioms 2021; 10 (3): 187
  14. Herden G. The role of error-functions in order to obtain relatively optimal classification, Classification and related methods of data analysis (Aachen, 1987). North-Holland, Amsterdam 1988; 105-111
  15. Irmak H. Various results for series expansions of the error functions with the complex variable and some of their implications. Turkish Journal of Mathematics