On a mean value theorem in the class of Herglotz functions and its applications.
Sakhnovich, A.L., Sakhnovich, L.A. (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “q-fractional differentiation and basic hypergeometric transformations”
On a mean value theorem in the class of Herglotz functions and its applications.
On extensions of the Laurents' theorem in the fractional calculus with applications to the generation of higer transcendental functions
L. M. B. S. Campos (1986)
Matematički Vesnik
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On Generalized Weyl Fractional q-Integral Operator Involving Generalized Basic Hypergeometric Functions
Yadav, R., Purohit, S., Kalla, S. (2008)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 33D60, 33D90, 26A33 Fractional q-integral operators of generalized Weyl type, involving generalized basic hypergeometric functions and a basic analogue of Fox’s H-function have been investigated. A number of integrals involving various q-functions have been evaluated as applications of the main results.
Eulerian numbers with fractional order parameters.
P.L. Butzer, M. Hauss (1993)
Aequationes mathematicae
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A Note On Fractional Integration
Branislav Martić (1973)
Publications de l'Institut Mathématique
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Extended Riemann-Liouville type fractional derivative operator with applications
P. Agarwal, Juan J. Nieto, M.-J. Luo (2017)
Open Mathematics
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The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind. Some typical generating relations for these extended hypergeometric functions are obtained by defining the extension of the Riemann-Liouville fractional derivative operator. Their connections with elementary functions and Fox’s H-function are also presented. ...
On fractional derivatives
Helena Musielak (1973)
Colloquium Mathematicae
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On a sum of fractional parts
B. Martić (1964)
Matematički Vesnik
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Note on the fractional parts of λθⁿ
Masayoshi Hata (2005)
Acta Arithmetica
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Some fractional integral formulas for the Mittag-Leffler type function with four parameters
Praveen Agarwal, Juan J. Nieto (2015)
Open Mathematics
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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.