ORDER, TYPE AND ZEROS OF ANALYTIC AND MEROMORPHIC FUNCTIONS OF [p, q]-φ ORDER IN THE UNIT DISC

被引：0

作者：

Sahoo, Pulak ^{[1
]}

Biswas, Nityagopal ^{[2
]}

机构：

[1] Midnapore Coll Autonomous, Dept Math, Midnapore 721101, West Bengal, India

[2] Chakdaha Coll, Dept Math, Chakdaha 741222, West Bengal, India

来源：

KOREAN JOURNAL OF MATHEMATICS | 2023年 / 31卷 / 02期

关键词：

Meromorphic function; Analytic function; Unit disc; {p; q] - f order; q] - f type; LINEAR-DIFFERENTIAL EQUATIONS; GROWTH; COEFFICIENTS;

D O I：

10.11568/kjm.2023.31.2.229

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the [p, q] - f order and [p, q] - f type of f(1)+ f(2), f(1)f(2) and f(1)f(2), where f(1) and f(2) are analytic or meromorphic functions with the same [p, q] - f order and different [p, q] - f type in the unit disc. Also, we study the [p, q]- f order and [p, q]- f type of different f and its derivative. At the end, we investigate the relationship between two different [p, q] - f convergence exponents of f. We extend some earlier precedent well known results.

引用

页码：229 / 242

页数：14

共 22 条

[1]

BANK SB, 1972, COMPOS MATH, V25, P61

[2]

Belaidi B., 2011, ELECTRON J DIFFER EQ, V156, P25

[3] The growth of solutions of linear differential equations with coefficients of iterated order in the unit disc [J].

Cao, TB ;

Yi, HX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (01) :278-294

[4] FINITENESS OF φ-ORDER OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS IN THE UNIT DISC [J].

Chyzhykov, I. ;

Heittokangas, J. ;

Rattya, J. .

JOURNAL D ANALYSE MATHEMATIQUE, 2009, 109 :163-198

[5]

Hayman W.K., 1964, Meromorphic Functions

[6] ON THE CHARACTERISTIC OF FUNCTIONS MEROMORPHIC IN THE UNIT DISK AND OF THEIR INTEGRALS [J].

HAYMAN, WK .

ACTA MATHEMATICA, 1964, 112 (3-4) :181-214

[7]

HEITTOKANGAS J., 2000, ANN ACAD SCI FENN-M, V122, P1

[8]

Heittokangas J., 2006, Results Math, V49, P265, DOI DOI 10.1007/S00025-006-0223-3

[9]

JUNEJA OP, 1976, J REINE ANGEW MATH, V282, P53

[10]

JUNEJA OP, 1977, J REINE ANGEW MATH, V290, P180

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