On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function

DOI10.1080/10652469.2010.497271zbMath1210.33001OpenAlexW2012407322MaRDI QIDQ3066382

Adem Kilicman, Brian Fisher

Publication date: 10 January 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/15912/1/On%20the%20composition%20and%20neutrix%20composition%20of%20the%20delta%20function%20and%20powers%20of%20the%20inverse%20hyperbolic%20sine%20function.pdf

zbMATH Keywords

distributionneutrix composition of distributionneutrix limitcomposition of distributionsdelta functionneutrix

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Exponential and trigonometric functions (33B10)

Related Items (4)

On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse functions ⋮ Note on the wave equation and tensor products ⋮ On the neutrix composition of the delta and inverse hyperbolic sine functions ⋮ Further results on the neutrix composition of distributions involving the delta function and the function \(\cosh _ + ^{ - 1}( {{x^{1/r}} + 1} )\)

Cites Work

• A result on the composition of distributions
• The composition of the distributions and
• Further Results on the Compositions of Distributions
• The composition and neutrix composition of distributions
• On the composition of the distributionsx⁻¹ln|x| and

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