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
[41]   An improved result in almost sure local central limit theorem for the partial sums [J].
Xu, Feng ;
Zeng, Zhen .
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2022, 132 (01)
[42]   An improved result in almost sure local central limit theorem for the partial sums [J].
Feng Xu ;
Zhen Zeng .
Proceedings - Mathematical Sciences, 2022, 132
[43]   Applications of generalized condensers to analytic function theory [J].
Dubinin V.N. ;
Eyrikh N.V. .
Journal of Mathematical Sciences, 2006, 133 (6) :1634-1647
[44]   A Weighted Generalization of Hardy-Hilbert-Type Inequality Involving Two Partial Sums [J].
Yang, Bicheng ;
Wu, Shanhe .
MATHEMATICS, 2023, 11 (14)
[45]   Joint limit distributions of exceedances point processes and partial sums of gaussian vector sequence [J].
Zuo Xiang Peng ;
Jin Jun Tong ;
Zhi Chao Weng .
Acta Mathematica Sinica, English Series, 2012, 28 :1647-1662
[46]   Partial sums and inclusion relations for analytic functions involving (p, q)-differential operator [J].
Tang, Huo ;
Vijaya, Kaliappan ;
Murugusundaramoorthy, Gangadharan ;
Sivasubramanian, Srikandan .
OPEN MATHEMATICS, 2021, 19 (01) :329-337
[47]   Joint Limit Distributions of Exceedances Point Processes and Partial Sums of Gaussian Vector Sequence [J].
Zuo Xiang PENG ;
Jin Jun TONG ;
Zhi Chao WENG .
Acta Mathematica Sinica,English Series, 2012, (08) :1647-1662
[48]   Joint limit distributions of exceedances point processes and partial sums of gaussian vector sequence [J].
Peng, Zuo Xiang ;
Tong, Jin Jun ;
Weng, Zhi Chao .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (08) :1647-1662
[49]   UNIVALENCE STUDIES CONCERNING A NEW INTEGRAL OPERATOR INVOLVING BESSEL FUNCTION OF THE FIRST [J].
Bardac-Vlada, Daniela Andrada .
JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2025, 16 (02) :60-71
[50]   Joint behavior of point processes of clusters and partial sums for stationary bivariate Gaussian triangular arrays [J].
Jinhui Guo ;
Yingyin Lu .
Annals of the Institute of Statistical Mathematics, 2023, 75 :17-37