Research Article

Partial sums of hyper-Bessel function with applications

Volume: 49 Number: 1 February 6, 2020
EN

Partial sums of hyper-Bessel function with applications

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.

Keywords

References

  1. [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. [2] İ. Aktaş and H. Orhan, Partial sums of Normalized Dini Functions, J. Classical Anal. 9 (2), 127–135, 2016.
  3. [3] İ. Aktaş and H. Orhan, On Partial sums of Normalized q-Bessel Functions, Commun. Korean Math. Soc. 33 (2), 535–547, 2018.
  4. [4] D. Bansal and H. Orhan, Partial sums of Mittag-Leffler function, J. Math. Inequal. 12 (2), 423–431, 2018.
  5. [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. [6] M. Çağlar and E. Deniz, Partial sums of the normalized Lommel functions, Math. Inequal. Appl. 18 (3), 1189–1199, 2015.
  7. [7] B.A. Frasin, Generalization of partial sums of certain analytic and univalent functions, Appl. Math. Lett. 21, 735-741, 2008.
  8. [8] A.W. Goodman, Univalent functions, vol. 1, Mariner Publishing Company, Inc., 1983.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 6, 2020

Submission Date

October 16, 2018

Acceptance Date

December 15, 2018

Published in Issue

Year 2020 Volume: 49 Number: 1

APA
Aktaş, İ. (2020). Partial sums of hyper-Bessel function with applications. Hacettepe Journal of Mathematics and Statistics, 49(1), 380-388. https://doi.org/10.15672/hujms.470930
AMA
1.Aktaş İ. Partial sums of hyper-Bessel function with applications. Hacettepe Journal of Mathematics and Statistics. 2020;49(1):380-388. doi:10.15672/hujms.470930
Chicago
Aktaş, İbrahim. 2020. “Partial Sums of Hyper-Bessel Function With Applications”. Hacettepe Journal of Mathematics and Statistics 49 (1): 380-88. https://doi.org/10.15672/hujms.470930.
EndNote
Aktaş İ (February 1, 2020) Partial sums of hyper-Bessel function with applications. Hacettepe Journal of Mathematics and Statistics 49 1 380–388.
IEEE
[1]İ. Aktaş, “Partial sums of hyper-Bessel function with applications”, Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 1, pp. 380–388, Feb. 2020, doi: 10.15672/hujms.470930.
ISNAD
Aktaş, İbrahim. “Partial Sums of Hyper-Bessel Function With Applications”. Hacettepe Journal of Mathematics and Statistics 49/1 (February 1, 2020): 380-388. https://doi.org/10.15672/hujms.470930.
JAMA
1.Aktaş İ. Partial sums of hyper-Bessel function with applications. Hacettepe Journal of Mathematics and Statistics. 2020;49:380–388.
MLA
Aktaş, İbrahim. “Partial Sums of Hyper-Bessel Function With Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 49, no. 1, Feb. 2020, pp. 380-8, doi:10.15672/hujms.470930.
Vancouver
1.İbrahim Aktaş. Partial sums of hyper-Bessel function with applications. Hacettepe Journal of Mathematics and Statistics. 2020 Feb. 1;49(1):380-8. doi:10.15672/hujms.470930

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