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Generalized relative order-dependent growths of composite entire functions

Tanmay Biswas|Sanjib Kumar Datta|Chinmay Ghosh
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회논문집 (Communications of the KMS)|제32권 제3호|pp. 619-635

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키워드

growthcompositionentire functiongeneralized relative ordersgeneralized relative lower orders
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초록

In this paper we establish some newly developed results related to the growth rates of composite entire functions on the basis of their generalized relative orders and generalized relative lower orders.

Abstract

In this paper we establish some newly developed results related to the growth rates of composite entire functions on the basis of their generalized relative orders and generalized relative lower orders.

참고문헌 (16)

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  8. S. K. Datta, "Growth analysis of entire functions concerning generalized relative type and generalized relative weak type", Facta Univ. Ser. Math. Inform, 30(3), pp.295~324 (2015)
  9. S. K. Datta, "On relative order and maximum term —related comparative growth rates of entire functions", J. Tripura Math. Soc, 14, pp.60~68 (2012)
  10. S. K. Datta, "Relative order of entire functions in terms of their maximum terms", Int. J. Math. Analy, 5(41-44), pp.2119~2126 (2011)
  11. B. K. Lahiri, "Generalised relative order of entire functions", Proc. Nat. Acad. Sci. India, 72(A)(4), pp.351~371 (2002)
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  13. A. P. Singh, "On maximum term of composition of entire functions", Proc. Nat. Acad. Sci. India Sect. A, 59(1), pp.103~115 (1989)
  14. A. P. Singh, "On the maximum modulus and maximum term of com-position of entire functions", Indian J. Pure Appl. Math, 22(12), pp.1019~1026 (1991)
  15. E. C. Titchmarsh, "The Theory of Functions" (1968), Oxford University Press
  16. G. Valiron, "Lectures on the General Theory of Integral Functions" (1949), Chelsea Publishing Company

관련 논문AI추천

Generalized relative order (α,β) based some growth analysis of composite entire functionsChinmay Biswas, Tanmay Biswas한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제2호Growth analysis of composite entire functions from the view point of relative $(p,q)$-th orderTanmay Biswas강원경기수학회 · 한국수학논문집2018 · 제26권 제3호Generalized 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 제1호On 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 제1호Relative logarithmic order of an entire functionAnirban Bandyopadhyay, Chinmay Ghosh, Soumen Mondal강원경기수학회 · 한국수학논문집2021 · 제29권 제1호

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