Browsing by Author "Kilicman, A"
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The commutative neutrix product of B-(r) (x, n) and delta((s)) (x)
Kilicman, A; Fisher, B; Nicholas, JD (INDIAN NAT SCI ACAD, 1998)The Beta function B(x, n) and the associated Beta functions B(n(+/-), n) and B+/-(x, n) are defined as distributions and the commutative neutrix products of them and their derivatives with delta((s)) (x) are evaluated. -
An existence theorem for the commutative neutrix product of distributions
Fisher, B; Kilicman, A; Nicholas, JD (KOSSUTH LAJOS TUDOMANYEGYETEM, 2001)In this paper we prove that the commutative neutrix product of the distributions x(+)(-r) and x(+)(-delta) exists for r, s = 1, 2,.... -
On the commutative neutrix product of distributions
Kilicman, A (INDIAN NAT SCI ACAD, 1999)Let f, g be distributions in D' and let f(n)=f * delta(n), g(n)=g * delta(eta), where {delta(eta)} is a certain sequence converging to the Dirac delta-function. The neutrix product f square g is said to exist and be equal ... -
SUBDIVISIONS OF THE SPECTRA FOR GENERALIZED DIFFERENCE OPERATOR C-nu ON THE SEQUENCE SPACE l(1)
Basar, Feyzi; Durna, Nuh; Yildirim, Mustafa (AMER INST PHYSICS, 2010)The fine spectrum of the generalized difference operator C-nu defined by a strictly decreasing sequence nu of positive reels on the space l(1) has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 7-19]. ...