Interpretation and differentiation of functions to a variable order (d/dx)nf(x) is studied in two ways: 1) using the Riemann-Liouville definition, 2) using Fourier transforms. Some properties and the inversion formula are obtained.
Integral Transforms and Special Functions Template
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About the Integral Transforms and Special Functions format
Integral Transforms and Special Functions is a peer-reviewed journal published by Taylor & Francis, covering Mathematical functions and polynomials, Mathematical Analysis and Transform Methods, Advanced Mathematical Identities. Over its lifetime it has published 2,234 papers, which have received 21,815 citations.
| Publisher | Taylor & Francis |
|---|---|
| Reference style | Numbered (Vancouver/NLM) Numbered — [1], [2] in the text 1. Smith A, Jones B, Lee C. A representative article title. Integral Transforms and Special Functions. 2023;12(3):45–58.
Formats any DOI in Integral Transforms and Special Functions style. No sign-up. |
| Publishes research in | Mathematical functions and polynomials Mathematical Analysis and Transform Methods Advanced Mathematical Identities Fractional Differential Equations Solutions Differential Equations and Boundary Problems |
| ISSN | 1065-2469 |
| Citation impact (2-yr) | 0.95 |
| h-index | 56 |
| i10-index | 572 |
| Top institutions publishing here | University of Victoria |
| Journal website | www.tandfonline.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
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Most-cited papers in Integral Transforms and Special Functions
The paper is devoted to the study of the function E γ ρ,μ(z) defined for complex ρ, μ, γ (Re(ρ) > 0) by which is a generalization of the classical Mittag-Leffler function E ρ,μ(z) and the Kummer confluent hypergeometric function Φ(γ, μ; z). The properties of E γ ρ,μ(z) including usual differentiation and integration, and…
In this expository article we survey some properties of completely monotonic functions and give various examples, including some famous special functions. Such function are useful, for example, in probability theory. It is known, [1, p.450], for example, that a function w is the Laplace transform of an infinitely divisible probability distribution on (0,∞), if and…
Abstract In this paper, we study a certain family of generalized Riemann–Liouville fractional derivative operators of order α and type β, which were introduced and investigated in several earlier works [R. Hilfer (ed.), Applications of Fractional Calculus in Physics, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 2000; R. Hilfer, Fractional time…
Recently, the authors introduced and studied certain subclasses of analytic functions (associated with the generalized hypergeometric function) using the classical normalization. The main object of this sequel to the earlier work is to present a systematic investigation of various subclasses of analytic functions using Montel's normalization. Coefficients estimates, distortion theorems, and the radii of convexity…