Derivation of some inequalities using the $(p,q)$-th lower order and $(p,q)$-th weak type of entire functions

Tanmay Biswas; Sanjib Kumar Datta; Jinarul Haque Shaikh

논문KCI 등재

Derivation of some inequalities using the $(p,q)$-th lower order and $(p,q)$-th weak type of entire functions

Tanmay Biswas|Sanjib Kumar Datta|Jinarul Haque Shaikh

대한수학회 (The Korean Mathematical Society)|2016.10|대한수학회논문집 (Communications of the KMS)|제31권 제4호|pp. 745-764

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참고문헌

키워드

property (A)$(p entire function q)$-th lower order lower index-pair q)$-th weak type

주제분류수학

초록

The object of the present paper is to obtain new estimates about the $(p,q)$ -th lower order and $(p,q)$-th weak type of entire functions under some interesting conditions.

Abstract

The object of the present paper is to obtain new estimates about the $(p,q)$ -th lower order and $(p,q)$-th weak type of entire functions under some interesting conditions.

참고문헌 (9)

L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math, 39, pp.209~229 (1988)
S. K. Datta, "On the weak type of meromorphic functions", Int. Math. Forum, 4(9-12), pp.569~579 (2009)
A. S. B. Holland, "Introduction to the Theory of Entire Functions" (1973), Academic Press
O. P. Juneja, "On the (p, q)-order and lower (p, q)-order of an entire function", J. Reine Angew. Math, 282, pp.53~67 (1976)
O. P. Juneja, "On the (p, q)-type and lower (p, q)-type of an entire function", J. Reine Angew. Math, 290, pp.180~190 (1977)
B. J. Levin, "Distribution of Zeros of Entire Functions" (1980), American Mathematical Society
B. Ya. Levin, "Translations of Mathematical Monographs, 150" (1996), American Mathematical Society
D. Sato, "On the rate of growth of entire functions of fast growth", Bull. Amer. Math. Soc, 69, pp.411~414 (1963)
G. Valiron, "Lectures on the General Theory of Integral Functions" (1949), Chelsea Publishing Company

관련 논문AI추천

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