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Relative $L$-order of an entire function
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In this paper we introduce relative $L-$order of a nonconstant entire function $f$ with respect to another nonconstant entire function $g$. Also we investigate the existence of relative $L-$proximate order of $f$ with respect to $g$.
Abstract
In this paper we introduce relative $L-$order of a nonconstant entire function $f$ with respect to another nonconstant entire function $g$. Also we investigate the existence of relative $L-$proximate order of $f$ with respect to $g$.
참고문헌 (5)
- L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math., 39(03), pp.209~229 (1988)
- S. M. Shah, "On proximate orders of integral functions", Bull. Amer. Math. Soc, 52, pp.326~328 (1946)
- S. K. Singh, "Slowly changing functions and their applications", Indian J. Math, 19, pp.1~6 (1977)
- D. Somasundaram, "A note on the entire functions of L-bounded index and L-type", Indian J. Pure Appl. Math, 19(03), pp.284~293 (1988)
- G. Valiron, "Lectures on the general theory of integral functions", ~ (1923)
관련 논문AI추천
Relative logarithmic order of an entire functionAnirban Bandyopadhyay, Chinmay Ghosh, Soumen Mondal강원경기수학회 · 한국수학논문집2021 · 제29권 제1호Generalized relative order-dependent growths of composite entire functionsChinmay Ghosh, Sanjib Kumar Datta, Tanmay Biswas대한수학회 · 대한수학회논문집2017 · 제32권 제3호Some results of relative $L$-order and generalized relative L-order of analytic functions in the unit ciscChinmay Ghosh, Sutapa Mondal강원경기수학회 · 한국수학논문집2020 · 제28권 제1호Growth analysis of composite entire functions from the view point of relative $(p,q)$-th orderTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제3호Generalized relative order (α,β) based some growth analysis of composite entire functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제2호Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제2호
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