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245
ON THE DISTRIBUTIONAL STIELTJES TRANSFORMATION
, 1986
"... This paper is concerned with some general theorems on the distributional Stieltjes transformation. Some Abelian theorems are proved. ..."
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This paper is concerned with some general theorems on the distributional Stieltjes transformation. Some Abelian theorems are proved.
ABELIAN THEOREM FOR THE STIELTJES TRANSFORM OF DISTRIBUTIONS
, 1990
"... ABSTRACT. First, a definition is given of the Stieltjes transform of distributions which contains some wellknown. Then, a structural theorem for distributions having Sasymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms of distributi ..."
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ABSTRACT. First, a definition is given of the Stieltjes transform of distributions which contains some wellknown. Then, a structural theorem for distributions having Sasymptotic is proved. This makes possible to prove two theorems of the Abelian type valued for Stieltjes transforms
TAUBERIAN THEOREM FOR THE OISTRIBUTIONAL STIELTJES TRANSFORMATION
, 1986
"... In this paper we use the notion of Lquasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes transformation. ..."
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In this paper we use the notion of Lquasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes transformation.
BICOMPLEX VERSION OF STIELTJES TRANSFORM AND APPLICATIONS
"... Abstract. Motivated by the recent developments of the integral transform in bicomplex form, in this paper we derive the formula for bicomplex version of Stieltjes transform, it's inverse and relationship with bicomplex Laplace transform. We have discussed some of it's basic operational pr ..."
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Abstract. Motivated by the recent developments of the integral transform in bicomplex form, in this paper we derive the formula for bicomplex version of Stieltjes transform, it's inverse and relationship with bicomplex Laplace transform. We have discussed some of it's basic operational
Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform
 J. Approx. Theory
"... The pointwise limit S of a sequence of Stieltjes transforms (Sn) of real Borel probability measures (Pn) is itself the Stieltjes transform of a Borel p.m. P if and only if iy S(iy) →−1asy→∞, in which case Pn converges to P in distribution. Applications are given to several problems in mathematical p ..."
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Cited by 18 (0 self)
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The pointwise limit S of a sequence of Stieltjes transforms (Sn) of real Borel probability measures (Pn) is itself the Stieltjes transform of a Borel p.m. P if and only if iy S(iy) →−1asy→∞, in which case Pn converges to P in distribution. Applications are given to several problems in mathematical
The generalized Stieltjes transform and its inverse
 J. Math. Phys
, 2005
"... The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter ρ> 0. In previous work a convenient form of the inverse transformation was derived for the case ρ = 3/2. This paper generalizes that result to all ρ> 0. It is a wellknown fact that the GST can be fo ..."
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Cited by 8 (0 self)
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The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter ρ> 0. In previous work a convenient form of the inverse transformation was derived for the case ρ = 3/2. This paper generalizes that result to all ρ> 0. It is a wellknown fact that the GST can
TAUBERIANTYPE THEOREMS WITH APPLICATION TO THE STIELTJES TRANSFORMATION
"... In the first part, we define the space L′(r) and the modified Stieltjes transformation intro ..."
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In the first part, we define the space L′(r) and the modified Stieltjes transformation intro
GENERALIZED CAUCHYSTIELTJES TRANSFORMS AND MARKOV TRANSFORMS
"... We express the generalized CauchyStieltjes transforms of some particular Beta distributions depending on a positive parameter λ as λpowered CauchyStieltjes transforms of some probability measures. The CauchyStieltjes transforms of the latter measures are shown to be the geometric mean of the C ..."
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We express the generalized CauchyStieltjes transforms of some particular Beta distributions depending on a positive parameter λ as λpowered CauchyStieltjes transforms of some probability measures. The CauchyStieltjes transforms of the latter measures are shown to be the geometric mean
TAUBERIAN THEOREM FOR THE OISTRIBUTIONAL STIELTJES TRANSFORMATION
, 1986
"... ABSTRACT. In this paper we use the notion of Lquasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes ..."
Abstract
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ABSTRACT. In this paper we use the notion of Lquasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes
A note on the distributional Stieltjes transformation
 Proc. Camb. Phil. Soc
, 1983
"... ABSTRACT. This ..."
Results 1  10
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245