On powers of the Heaviside function for negative integers

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Atıf İçin Kopyala

Ozcag E., Ege I., Gurcay H.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.326, sa.1, ss.101-107, 2007 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 326 Sayı: 1
• Basım Tarihi: 2007
• Doi Numarası: 10.1016/j.jmaa.2006.02.068
• Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.101-107
• Hacettepe Üniversitesi Adresli: Evet

Özet

The distributions (x(+)(r))(-s) and (x(+)(r))_(-s) were defined as the neutrix limit of the sequences ((x(+)(r))(-s))n and ((x(+)(r))_(-s))n respectively for r, s = 1, 2,..., see [J.D. Nicholos, B. Fisher, The distribution composition (x(+)(r))(-s), J. Math. Anal. Appl. 258 (2001) 131-145; B. Fisher, On defining the distribution (x(+)(r))_(-s), Univ. u Novom Sadu Zb. Rad. Prirod. Mat. Fak. Ser. Mat. 15 (1985) 119-129]. We here consider these distributions when r = 0. In other words, we define the sth powers of the Heaviside function H(x) in the distributional sense for negative integers. Further compositions are also considered. (c) 2006 Elsevier Inc. All rights reserved.