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Some generalized growth properties of composite entire and meromorphic functions

Chinmay Biswas|Tanmay Biswas
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.03|한국수학논문집 (Korean Journal of Mathematics)|제29권 제1호|pp. 121-136

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키워드

growthmeromorphic functioncompositionEntire functionalphageneralized order $(beta )$.
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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 order $(\alpha ,\beta )$ and generalized lower order $(\alpha ,\beta )$, where $\alpha $ and $\beta $ are continuous non-negative functions defined on $(-\infty ,+\infty ).$

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 order $(\alpha ,\beta )$ and generalized lower order $(\alpha ,\beta )$, where $\alpha $ and $\beta $ are continuous non-negative functions defined on $(-\infty ,+\infty ).$

참고문헌 (17)

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  3. T. Biswas, "A note on generalized growth analysis of composite entire functions", Poincare J. Anal. Appl, 7(2), pp.277~286 (2020)
  4. T. Biswas, "Generalized order (α, β) orientied some growth properties of composite entire functions", Ural Math. J, 6(2), pp.25~37 (2020)
  5. T. Biswas, "On some inequalities concerning relative (p, q)-ϕ type and relative (p, q)-ϕ weak type of entire or meromorphic functions with respect to an entire function", J. Class. Anal, 13(2), pp.107~122 (2018)
  6. I. Chyzhykov, "Fast growing entire solutions of linear differential equations", Math. Bull. Shevchenko Sci. Soc, 13, pp.68~83 (2016)
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  8. W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  9. -ϕ order, "Adv. Difference Equ", 2014, 200~ (2014)
  10. 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)
  11. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), De Gruyter
  12. Q. Lin, "On a conjecture of Shah concerning small functions", Kexue Tong bao (English Ed.), 31(4), pp.220~224 (1986)
  13. M. N. Sheremeta, "On the growth of a composition of entire functions", Carpathian Math. Publ, 9(2), pp.181~187 (2017)
  14. 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)
  15. D. Sato, "On the rate of growth of entire functions of fast growth", Bull. Amer. Math. Soc, 69, pp.411~414 (1963)
  16. G. Valiron, "Lectures on the general theory of integral functions" (1949), Chelsea Publishing Company
  17. 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 제2호Generalized relative order (α,β) based some growth analysis of composite entire functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제2호Generalized 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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