Atıf İçin Kopyala
Fisher B., TAŞ K.
Acta Mathematica Sinica, English Series, cilt.22, sa.6, ss.1639-1644, 2006 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
22
Sayı:
6
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Basım Tarihi:
2006
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Doi Numarası:
10.1007/s10114-005-0762-7
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Dergi Adı:
Acta Mathematica Sinica, English Series
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Sayfa Sayıları:
ss.1639-1644
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Anahtar Kelimeler:
Delta function, Distribution, Product of distributions
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Uşak Üniversitesi Adresli:
Hayır
Özet
Let f and g be distributions and let gn = (g * δn)(x), where δn(x) is a certain sequence converging to the Dirac delta function. The non-commutative neutrix product f o g of f and g is defined to be the limit of the sequence {fg n}, provided its limit h exists in the sense that N-lim = , n → ∞ for all functions ≁ in script D. It is proved that (x+λln px+) o (x+μlnpx + = x+λ+μlnp+qx +, (x-λlnpx- o (x-μlnqx- = (x- λ+μlnp+qx-, for λ + μ < - 1; λ, μ, λ + μ ≠ -1, -2, ... and p, q = 0, 1, 2..... © 2006 Springer-Verlag.