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Weyl fractional calculus and Laplace transform - MaRDI portal

Weyl fractional calculus and Laplace transform (Q1066398)

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scientific article; zbMATH DE number 3925514
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Weyl fractional calculus and Laplace transform
scientific article; zbMATH DE number 3925514

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    Weyl fractional calculus and Laplace transform (English)
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    1983
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    The authors develop the Weyl fractional calculus to obtain Laplace transforms of \(t^ q \phi (t)\) (for all real values of q), where \(\phi\) (t) is taken in the form of \(f(a\sqrt{(t^ 2-b^ 2)})\) and certain other forms. They also establish a generating function involving an H- function of several variables by means of generalized Taylor series.
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    Weyl fractional calculus
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    Laplace transforms
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    generating function
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    H- function of several variables
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    generalized Taylor series
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