Some Turán type inequalities for the Ramanujan type entire function

被引：0
|
作者：
Ozkan, Yucel [1 ]
Mehrez, Khaled [2 ,3 ]
Deniz, Erhan [1 ]
机构：
[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkiye
[2] Univ Kairouan, Preparatory Inst Engn Studies Kairouan, Dept Math, Kairouan, Tunisia
[3] Univ Kairouan, Preparatory Inst Engn Studies Kairouan, Res Lab Chem Mat & Modeling LR24ES02, Kairouan, Tunisia
来源：
RAMANUJAN JOURNAL | 2025年 / 67卷 / 01期
关键词：
Ramanujan type entire function; Tur & aacute; n type inequalities; TURAN TYPE INEQUALITIES;
D O I：
10.1007/s11139-025-01056-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present several new Tur & aacute;n type inequalities for the Ramanujan type entire function. In addition, some Tur & aacute;n type inequalities for sections of series of the aforementioned function are established. The key tools in the proofs of the main results are the monotonicity properties of the ratios of the Ramanujan type entire function.
引用
收藏
页数：22
相关论文
共 50 条
  • [1] On some Turán-type inequalities
    A. Laforgia
    P. Natalini
    Journal of Inequalities and Applications, 2006
  • [2] Two Turán type inequalities
    G. Kós
    Acta Mathematica Hungarica, 2008, 119 : 219 - 226
  • [3] Refinements of some Turán-type inequalities for meromorphic functions
    M. Y. Mir
    S. L. Wali
    W. M. Shah
    Analysis and Mathematical Physics, 2023, 13
  • [4] On a Ramanujan type entire function and its zeros
    Dai, Dan
    Ismail, Mourad E. H.
    Wang, Xiang-Sheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 485 (02)
  • [5] Turán type inequalities for generalized Mittag-Leffler function
    Xiang Kai Dou
    Li Yin
    Journal of Inequalities and Applications, 2017
  • [6] Turán type inequalities for the generalized derivative of a polynomial
    Bhat F.A.
    Dar H.A.
    Complex Analysis and its Synergies, 2024, 10 (2)
  • [7] Inequalities of Turán-type for algebraic polynomials
    Gradimir V. Milovanović
    Abdullah Mir
    Adil Hussain
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [8] Inequalities of Turán Type for the Polar Derivative of a Polynomial
    Mir, A.
    Bhat, A. H.
    Thoker, W. A.
    SIBERIAN MATHEMATICAL JOURNAL, 2025, 66 (01) : 168 - 176
  • [9] Log-concavity and Turán-type inequalities for the generalized hypergeometric function
    S. I. Kalmykov
    D. B. Karp
    Analysis Mathematica, 2017, 43 : 567 - 580
  • [10] Turán Type Inequalities for Tricomi Confluent Hypergeometric Functions
    Árpád Baricz
    Mourad E. H. Ismail
    Constructive Approximation, 2013, 37 : 195 - 221
12345