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1 results

  • A Class of Mellin Multipliers

  • A. C. McBride, W. J. Spratt
  • Journal:
    Canadian Mathematical Bulletin / Volume 35 / Issue 2 / 01 June 1992
    Published online by Cambridge University Press:
    20 November 2018, pp. 252-260
    Print publication:
    01 June 1992
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  • We examine a class of functions which can serve as Mellin multipliers in the setting of the spaces Fp,μ which we have used extensively in other papers. The conditions to be satisfied by such a multiplier h do not involve h′ explicitly. This means that multipliers involving T-functions can be handled by means of the asymptotics of Γ(z) alone, without the need to study ψ = Γ′/Γ, thereby saving effort in the case of complicated multipliers.