Further results on the neutrix composition of distributions involving the delta function and the function \(\cosh _ + ^{ - 1}( {{x^{1/r}} + 1} )\)

DOI10.1515/dema-2019-0021zbMath1439.46029OpenAlexW2959368426MaRDI QIDQ2330209

Brian Fisher, Kenan Tas

Publication date: 25 October 2019

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0021

zbMATH Keywords

distributionneutrix limitcomposition of distributionsneutrixDirac-delta function

Mathematics Subject Classification ID

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

Cites Work

• On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse functions
• Introduction to the neutrix calculus
• Some results on the neutrix composition of the delta function
• On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function
• THE DELTA FUNCTION AND THE COMPOSITION OF DISTRIBUTIONS
• The composition and neutrix composition of distributions
• The theory of generalized functions
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