SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 1

Partial sums of hyper-Bessel function with applications

İbrahim Aktaş(KARAMANOGLU MEHMETBEY UNIVERSITY)0000-0003-4570-4485
Pages
—
Publication Date
2020-02-06
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, some applications related to the obtained results are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main purpose of the presented paper is to determine some lower bounds for the quotient of the normalized hyper-Bessel function and its partial sum, as well as for the quotient of the derivative of normalized hyper-Bessel function and its partial sum.
📊
Key Findings & Data:The main purpose of the presented paper is to determine some lower bounds for the quotient of the normalized hyper-Bessel function and its partial sum, as well as for the quotient of the derivative of normalized hyper-Bessel function and its partial sum.
💡
Conclusion & Impact:In addition, some applications related to the obtained results are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic function · univalent function · partial sum

Abstract

The main purpose of the presented paper is to determine some lower bounds for the quotient of the normalized hyper-Bessel function and its partial sum, as well as for the quotient of the derivative of normalized hyper-Bessel function and its partial sum. In addition, some applications related to the obtained results are given.

🔖

Cite This Article

Aktaş, İ. (2020). Partial sums of hyper-Bessel function with applications. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 1. https://doi.org/10.15672/hujms.470930

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. İ. Aktaş and H. Orhan, Distortion bounds for a new subclass of analytic functions and their partial sums, Bull. Transilv. Univ. Braşov Ser. III, 57 (2), 1–12, 2015.
  2. İ. Aktaş and H. Orhan, Partial sums of Normalized Dini Functions, J. Classical Anal. 9 (2), 127–135, 2016.
  3. İ. Aktaş and H. Orhan, On Partial sums of Normalized q-Bessel Functions, Commun. Korean Math. Soc. 33 (2), 535–547, 2018.
  4. D. Bansal and H. Orhan, Partial sums of Mittag-Leffler function, J. Math. Inequal. 12 (2), 423–431, 2018.
  5. H. Chaggara and N.B. Romdhane, On the zeros of the hyper-Bessel function, Integral Transforms Spec. Funct. 26 (2), 96–101, 2015.
  6. M. Çağlar and E. Deniz, Partial sums of the normalized Lommel functions, Math. Inequal. Appl. 18 (3), 1189–1199, 2015.
  7. B.A. Frasin, Generalization of partial sums of certain analytic and univalent functions, Appl. Math. Lett. 21, 735-741, 2008.
  8. A.W. Goodman, Univalent functions, vol. 1, Mariner Publishing Company, Inc., 1983.
  9. H. Orhan and N. Yağmur, Partial sums of Generilazed Bessel Functions, J. Math. Inequal. 8 (4), 863–877, 2014.
  10. S. Owa, H.M. Srivastava and N. Saito, Partial sums of certain classes of analytic functions, Int. J. Comput. Math. 81 (10), 1239–1256, 2004.
  11. D. Răducanu, On partial sums of normalized Mittag-Leffler functions, An. Şt. Univ. Ovidius Constanta, 25 (2), 123–133, 2017.
  12. T. Sheil-Small, A note on partial sums of convex schlicht functions, Bull. London Math. Soc. 2, 165–168, 1970.
  13. H. Silverman, Partial sums of starlike and convex functions, J. Math. Anal. Appl. 209, 221–227, 1997.
  14. E.M. Silvia, On partial sums of convex functions of order α. Houston J. Math. 11, 397–404, 1985.
  15. G.N. Watson, A Tretaise on the Theory of Bessel Functions. Second edition, London and New York, Cambridge University Press, 1944.
  16. N. Yağmur and H. Orhan, Partial sums of Generilazed Struve Functions, Miskolc Math. Notes, 17 (1), 657-670, 2016.