• Title/Summary/Keyword: generalized relative lower order (${\alpha}$, ${\beta}$)

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GENERALIZED RELATIVE ORDER (α, β) BASED SOME GROWTH ANALYSIS OF COMPOSITE ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • The Pure and Applied Mathematics
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    • v.29 no.2
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    • pp.125-139
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    • 2022
  • 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 (-∞, +∞).

A NOTE ON THE INTEGRAL REPRESENTATIONS OF GENERALIZED RELATIVE ORDER (𝛼, 𝛽) AND GENERALIZED RELATIVE TYPE (𝛼, 𝛽) OF ENTIRE AND MEROMORPHIC FUNCTIONS WITH RESPECT TO AN ENTIRE FUNCTION

  • Biswas, Tanmay;Biswas, Chinmay
    • The Pure and Applied Mathematics
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    • v.28 no.4
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    • pp.355-376
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    • 2021
  • In this paper we wish to establish the integral representations of generalized relative order (𝛼, 𝛽) and generalized relative type (𝛼, 𝛽) of entire and meromorphic functions where 𝛼 and 𝛽 are continuous non-negative functions defined on (-∞, +∞). We also investigate their equivalence relation under some certain condition.

GENERALIZED RELATIVE ORDER (α, β) ORIENTED SOME GROWTH PROPERTIES OF COMPOSITE ENTIRE AND MEROMORPHIC FUNCTIONS

  • Tanmay Biswas ;Chinmay Biswas
    • The Pure and Applied Mathematics
    • /
    • v.30 no.2
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    • pp.139-154
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    • 2023
  • 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 (-∞, +∞).