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McBride, A. C.

Fractional calculus and integral transforms of generalized functions. (English) Zbl 0423.46029

Research Notes in Mathematics. 31. San Francisco - London -Melbourne: Pitman Advanced Publishing Program. VIII, 179 p. £7.50 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0423.46029

Cited in 13 Reviews
Cited in 83 Documents

MSC:

46F12 Integral transforms in distribution spaces
26A33 Fractional derivatives and integrals
44A15 Special integral transforms (Legendre, Hilbert, etc.)
45A05 Linear integral equations
46F05 Topological linear spaces of test functions, distributions and ultradistributions

Keywords:

fractional calculus; integral transforms of generalized functions; spaces of generalised functions; Erdelyi-Kober operators; Riemann-Liouville and Weyl fractional integrals; adjoint operator approach; classical solutions of dual integral equations of Titchmarsh type; integral equations; hypergeometric function; Hankel transform
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