Partial sums of hyper-Bessel function with applications

被引:3
作者
Aktas, Ibrahim [1 ]
机构
[1] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, Yunus Emre Campus, TR-70100 Karaman, Turkey
来源
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 01期
关键词
analytic function; univalent function; partial sum; trigonometric function; hyper-Bessel function;
D O I
10.15672/hujms.470930
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:380 / 388
页数:9
相关论文
共 50 条
  • [21] Moment inequalities for the partial sums of random variables
    Yang, SC
    SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 (01): : 1 - 6
  • [22] Cesaro partial sums of certain analytic functions
    Ibrahim, Rabha W.
    Darus, Maslina
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [23] Moment inequalities for the partial sums of random variables
    杨善朝
    Science China Mathematics, 2001, (01) : 1 - 6
  • [24] Moment inequalities for the partial sums of random variables
    Shanchao Yang
    Science in China Series A: Mathematics, 2001, 44 : 1 - 6
  • [25] Cesaro partial sums of concave univalent functions
    Aldawish, Ibtisam
    Darus, Maslina
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 650 - 656
  • [26] Integral transforms and partial sums of certain p-valent starlike functions
    Liu, Jin-Lin
    Srivastava, Rekha
    Xu, Yi-Hui
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 845 - 859
  • [27] Integral transforms and partial sums of certain p-valent starlike functions
    Jin-Lin Liu
    Rekha Srivastava
    Yi-Hui Xu
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 845 - 859
  • [28] Cesáro partial sums of certain analytic functions
    Rabha W Ibrahim
    Maslina Darus
    Journal of Inequalities and Applications, 2013
  • [29] On partial sums of normalized Mittag-Leffler functions
    Raducanu, Dorina
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2017, 25 (02): : 123 - 133
  • [30] A Note on the Strong Convergence of Partial Sums with Respect to Vilenkin System
    G. Tutberidze
    Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2019, 54 : 365 - 370