EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXXIX, No. 29, pp. 1–13 (2004)

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Quasiasymptotic expansion of distributions with applications to the Stieltjes transform

S. B. Gaikwad and M. S. Chaudhari

New Arts, Com. & Sci., College Parner Dist., Ahmednagar 414302.(M.S.), India
Department of Mathematics, Shivaji University, Kolhapur, 416004.(M.S.), India

Abstract: Following the approach of Drozinov, Vladimirov and Zavialov, we investigate the quasiasymptotic expansion of distributions and give Abelian type results for the ordinary asymptotic behaviour of the distributional modified Stieltjes transform of a distribution with appropriate quasiasymptotic expansion.

Keywords: modified Stieltjes transform of distributions; quasiasymptotic behaviour of distributions

Classification (MSC2000): 46F12

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