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Generalized relative order (α,β) based some growth analysis of composite entire functions

Chinmay Biswas|Tanmay Biswas
한국수학교육학회|2022.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제29권 제2호|pp. 125-139|DOI https://doi.org/10.7468/jksmeb.2022.29.2.125

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키워드

growthcompositionentire functiongeneralized relative order (αβ)generalized relative lower order (α
주제분류수학

초록

In this paper we wish to establish some results relating to the growths of composition of two entire 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 establish some results relating to the growths of composition of two entire 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 (12)

  1. L. Bernal-Gonzal´ez, "Crecimiento relativo de funciones enteras, Aportaciones al estudio de las funciones enteras con ´ındice exponencial finito", Doctor, pp.1984
  2. L. Bernal, "Orden relative de crecimiento de funciones enteras", Collect. Math, 39, pp.209~229 (1988)
  3. T. Biswas, "Generalized (α, β) order based on some growth properties of Wronskians", Mat. Stud, 54(1), pp.46~55 (2020)
  4. Tanmay Biswas, "Sum and Product Theorems relating to Generalized Relative Order (α, β) and Generalized Relative Type (α, β) of Entire Functions", 순수 및 응용수학, 28(2), pp.155~185 (2021), 한국수학교육학회[DOI]
  5. T. Biswas, "On some growth properties of composite entire functions on the basis of their generalized relative order (α, β)", J. Ramanujan Soc. Math. Math. Sci, 9(1), pp.11~28 (2021)
  6. I. Chyzhykov, "Fast growing entire solutions of linear differential equations", Math. Bull. Shevchenko Sci. Soc, 13, pp.68~83 (2016)
  7. J. Clunie, "The composition of entire and meromorphic functions. Mathematical Essays dedicated to A. J. Macintyre", pp.75~92 (1970), Ohio University Press
  8. 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)
  9. A.P. Singh, "On maximum term of composition of entire functions", Proc. Nat. Acad. Sci. India, 59(A)(Part I), pp.103~115 (1989)
  10. A.P. Singh, "On the maximum modulus and maximum term of composition of entire functions", Indian J. Pure Appl. Math, 22(12), pp.1019~1026 (1991)
  11. G. Valiron, "Lectures on the general theory of integral functions" (1949), Chelsea Publishing Company
  12. L. Yang, "Value distribution theory" (1993), Springer-Verlag

관련 논문AI추천

Generalized relative order (α,β) oriented some growth properties of composite entire and meromorphic functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 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 제3호Growth analysis of composite entire functions from the view point of relative $(p,q)$-th orderTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 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 제2호On 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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