• Title/Summary/Keyword: Differential monomial

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SLOWLY CHANGING FUNCTION ORIENTED GROWTH MEASUREMENT OF DIFFERENTIAL POLYNOMIAL AND DIFFERENTIAL MONOMIAL

  • Biswas, Tanmay
    • Korean Journal of Mathematics
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    • v.27 no.1
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    • pp.17-51
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    • 2019
  • In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative $_pL^*$-order, relative $_pL^*$-lower order and differential monomials, differential polynomials generated by one of the factors.

VALUE DISTRIBUTIONS OF L-FUNCTIONS CONCERNING POLYNOMIAL SHARING

  • Mandal, Nintu
    • Communications of the Korean Mathematical Society
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    • v.36 no.4
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    • pp.729-741
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    • 2021
  • We mainly study the value distributions of L-functions in the extended selberg class. Concerning weighted sharing, we prove an uniqueness theorem when certain differential monomial of a meromorphic function share a polynomial with certain differential monomial of an L-function which improve and generalize some recent results due to Liu, Li and Yi [11], Hao and Chen [3] and Mandal and Datta [12].

COMPARATIVE GROWTH ANALYSIS OF DIFFERENTIAL MONOMIALS AND DIFFERENTIAL POLYNOMIALS DEPENDING ON THEIR RELATIVE pL* - ORDERS

  • Biswas, Tanmay
    • Journal of the Chungcheong Mathematical Society
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    • v.31 no.1
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    • pp.103-130
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    • 2018
  • In the paper we establish some new results depending on the comparative growth properties of composite entire and meromorphic functions using relative $_pL^*-order$, relative $_pL^*-lower$ order and differential monomials, differential polynomials generated by one of the factors.