COMPARATIVE GROWTH ANALYSIS OF FUNCTIONS ANALYTIC IN THE UNIT DISC DEPENDING UPON THEIR RELATIVE L*-ORDERS AND RELATIVE L*-LOWER ORDERS

被引:0
|
作者
Datta, Sanjib Kumar [1 ]
Biswas, Tanmay
Sahoo, Pulak [1 ]
机构
[1] Univ Kalyani, Dept Math, PO Kalyani, Kalyani 741235, W Bengal, India
关键词
growth; analytic function; composition; unit disc; relative Nevanlinna L*-order; relative Nevanlinna L*-lower order; slowly changing function in the unit disc;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper the ideas of relative Nevanlinna L*-order and relative Nevanlinna L*-lower order of an analytic function with respect to an entire function in the unit disc U = {z :vertical bar z vertical bar < 1} are introduced. Hence, we study some comparative growth properties of composition of two analytic functions in the unit disc U on the basis of relative Nevanlinna L*-order and relative Nevanlinna L*-lower order.
引用
收藏
页码:161 / 166
页数:6
相关论文
共 27 条
  • [1] ON THE COMPARATIVE GROWTH ANALYSIS OF DIFFERENTIAL POLYNOMIALS DEPENDING UPON THEIR RELATIVE ORDERS, RELATIVE TYPE AND RELATIVE WEAK TYPE
    Datta, Sanjib Kumar
    Biswas, Tanmay
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (02): : 465 - 484
  • [2] Some Results on the Growth Analysis of Entire Functions Using their Maximum Terms and Relative L*-orders
    Datta, S. K.
    Biswas, T.
    Hoque, A.
    JOURNAL OF MATHEMATICAL EXTENSION, 2016, 10 (02) : 59 - 73
  • [3] Comparative growth analysis of Wronskians in the light of their relative orders
    Datta, Sanjib Kumar
    Biswas, Tanmay
    Hoque, Ahsanul
    ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2015, 14 (01) : 135 - 148
  • [4] Generalized relative order (α, β) and generalized relative type (α, β) oriented some growth analysis of composite analytic functions in the unit disc
    Biswas, Chinmay
    Biswas, Tanmay
    Italian Journal of Pure and Applied Mathematics, 2022, 47 : 319 - 327
  • [5] Generalized relative order (α, β) and generalized relative type (α, β) oriented some growth analysis of composite analytic functions in the unit disc
    Biswas, Chinmay
    Biswas, Tanmay
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, (47): : 319 - 327
  • [6] Relative orders and slowly changing functions oriented growth analysis of composite entire functions
    Dattac, Sanjib Kumar
    Biswas, Tanmay
    Bhattacharyya, Sarmila
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 6 (02): : 113 - 126
  • [7] SOME RESULTS OF RELATIVE L-ORDER AND GENERALIZED RELATIVE L-ORDER OF ANALYTIC FUNCTIONS IN THE UNIT CISC
    Ghosh, Chinmay
    Mondal, Sutapa
    KOREAN JOURNAL OF MATHEMATICS, 2020, 28 (01): : 149 - 157
  • [8] GENERALIZED RELATIVE NEVANLINNA ORDER (α, β) AND GENERALIZED RELATIVE NEVANLINNA TYPE (α, β) BASED SOME GROWTH PROPERTIES OF COMPOSITE ANALYTIC FUNCTIONS IN THE UNIT DISC
    Biswas, Tanmay
    Biswas, Chinmay
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2022, 71 (01): : 226 - 236
  • [9] GROWTH ANALYSIS OF WRONSKIANS BASED ON RELATIVE L*-ORDER AND RELATIVE L*-TYPE
    Datta, Sanjib Kumar
    Biswas, Tanmay
    Biswas, Chinmay
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (34): : 63 - 70
  • [10] GROWTH ESTIMATES OF ENTIRE FUNCTIONS WITH THE HELP OF THEIR RELATIVE L*-TYPES AND RELATIVE L*-WEAK TYPES
    Datta, Sanjib Kumar
    Biswas, Tanmay
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 136 - 148