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Mathematica Moravica
2015, vol. 19, br. 2, str. 65-73
jezik rada: engleski
vrsta rada: neklasifikovan
doi:10.5937/MatMor1502065F


Convolutions involving the exponential function and the exponential integral
(naslov ne postoji na srpskom)
aDepartment of Mathematics, University of Leicester, Leicester, England
bDepartment of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

e-adresa: fbr@le.ac.uk, falserehi@kau.edu.sa

Sažetak

(ne postoji na srpskom)
The exponential integral ei(λx) and its associated functions ei+(λx) and ei-(λx) are defined as locally summable functions on the real line and their derivatives are found as distributions. The convolutions xr ei+(x) *xsex + and xr ei+(x) *xsex are evaluated.

Ključne reči

exponential integral; convolution

Reference

Naknadno pridodat članak: provera, normiranje i linkovanje referenci u toku.
B. Fisher and J.D. Nicholas, The exponential integral and the convolution, SUT J. Math., 33(2)(1997), 139-148.
B. Fisher and J.D. Nicholas, The neutrix convolution product of ei(x) and xr, Math. Montisnigri, 9(1998), 51-64.
B. Fisher and J.D Nicholas, On the exponential integral, Hacet. Bull. Nat. Sci. Eng. Ser. B, 28(1999), 55-64.
B. Fisher and J.D Nicholas, The exponential integral and the neutrix convolution product, J. Nat. Sci. Math., 40(1,2)(2000), 23-36.
B. Fisher and J.D. Nicholas, On the exponential integral and the non-commutative convolution product, Integral Transforms Spec. Funct., 11(4)(2001), 353-362.
B. Fisher, E. Özçag and Ü. Gülen, The exponential integral and the commutative neutrix convolution product, J. Analysis, 7(1999), 7-20.
I.M. Gel’fand and G.E. Shilov, Generalized functions, Vol. I, Academic Press (1964).
I.N. Sneddon, Special Functions of Mathematical Physics and Chemistry, Oliver and Boyd, (1961).