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A Class of Mellin Multipliers

Published online by Cambridge University Press:  20 November 2018

A. C. McBride  and
W. J. Spratt
A. C. McBride
Affiliation:
Department of Mathematics University of Strathclyde, Livingstone Tower 26 Richmond Street Glasgow Gl 1XH Scotland
W. J. Spratt
Affiliation:
12 Hickory Close Lytchett Minster Poole, Dorset England
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Abstract

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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.

Keywords

42A45.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 252 - 260
Copyright
Copyright © Canadian Mathematical Society 1992 

References

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