On Weyl fractional calculus
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- by R. K. Raina and C. L. Koul PDF
- Proc. Amer. Math. Soc. 73 (1979), 188-192 Request permission
Abstract:
The Weyl fractional calculus is applied in developing the Laplace transform of ${t^q}f(t)$, for all values of q. Also, a generalized Taylor’s formula in Weyl fractional calculus is established. The results are then used in deriving a certain generating function for the H-function of Fox.References
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- Charles Fox, The $G$ and $H$ functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc. 98 (1961), 395–429. MR 131578, DOI 10.1090/S0002-9947-1961-0131578-3
- K. C. Gupta and U. C. Jain, The $H$-function. II, Proc. Nat. Acad. Sci. India Sect. A 36 (1966), 594–609. MR 308466 K. C. Gupta, Ph.D. Thesis, Rajasthan Univ., 1966.
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 188-192
- MSC: Primary 26A33; Secondary 44A10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516462-4
- MathSciNet review: 516462