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Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functions

Chinmay Biswas|Tanmay Biswas
한국수학교육학회|2023.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제2호|pp. 139-154|DOI https://doi.org/10.7468/jksmeb.2023.30.2.139

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키워드

growthmeromorphic functioncompositionentire functiongeneralized relative order (αβ).
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초록

In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β), where α and β are continuous non-negative functions defined on (-∞, +∞).

Abstract

In this paper we wish to prove some results relating to the growth rates of composite entire and meromorphic functions with their corresponding left and right factors on the basis of their generalized relative order (α, β) and generalized relative lower order (α, β), where α and β are continuous non-negative functions defined on (-∞, +∞).

참고문헌 (13)

  1. L. Bernal-Gonzalez, "Crecimiento relativo de funciones enteras. Aportaciones al estudio de las funciones enteras con ndice exponencial finito", Doctor, pp.1984
  2. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math, 39, pp.209~229 (1988)
  3. Walter Bergweiler, "On the nevanlinna characteristic of a composite function", Complex Variables, Theory and Application: An International Journal, 10(2-3), pp.225~236 (1988), Informa UK Limited[DOI]
  4. T. Biswas, "Some results on generalized relative order (α,β) and gener-alized relative type (α,β) of meromorphic function with respect to an entire function", Ganita, 70(2), pp.239~252 (2020)
  5. I. Chyzhykov, "Fast growing entire solutions of linear differential equa-tions", Math. Bull. Shevchenko Sci. Soc, 13, pp.68~83 (2016)
  6. S.K. Datta, "Measure of growth ratios of composite entire and meromorphic functions with a focus on relative order", Int. J. Math. Sci. Eng. Appl, 8(4), pp.207~218 (2014)
  7. W.K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  8. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), De Gruyter
  9. B.K. Lahiri, "Relative order of entire and meromorphic functions", Proc. Nat. Acad. Sci. India Ser. A, 69(3), pp.339~354 (1999)
  10. M. N. Sheremeta, "Connection between the growth of the maximum of the modulus of an entire function and the moduli of the coefficients of its power series expansion", Izv. Vyssh. Uchebn. Zaved Mat, 2, pp.100~108 (1967)
  11. M.M. Sheremeta, "On the growth of a composition of entire functions", Carpathian Mathematical Publications, 9(2), pp.181~187 (2018), Vasyl Stefanyk Precarpathian National University[DOI]
  12. G. Valiron, "Lectures on the General Theory of Integral Functions" (1949), Chelsea Publishing Company
  13. L. Yang, "Value Distribution Theory" (1993), Springer-Verlag

관련 논문AI추천

Generalized relative order (α,β) based some growth analysis of composite entire functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제2호Some generalized growth properties of composite entire and meromorphic functionsChinmay Biswas, Tanmay Biswas강원경기수학회 · 한국수학논문집2021 · 제29권 제1호Generalized relative order-dependent growths of composite entire functionsChinmay Ghosh, Sanjib Kumar Datta, Tanmay Biswas대한수학회 · 대한수학회논문집2017 · 제32권 제3호Generalized (α, β, γ) Order and Generalized (α, β, γ) Type oriented Some Growth Properties of Composite Entire and Meromorphic FunctionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제2호Growth analysis of composite entire functions from the view point of relative $(p,q)$-th orderTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제3호On some growth analysis of composite entire and meromorphic functions from the view point of their relative $(p,q)$-th type and relative $(p,q)$-th weak typeTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제1호

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