Lawton, Wayne M. An explanation of Mellin’s 1921 paper. (English) Zbl 07792282 Izv. Irkutsk. Gos. Univ., Ser. Mat. 46, 98-109 (2023). MSC: 32-02 32A27 33C70 PDFBibTeX XMLCite \textit{W. M. Lawton}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 46, 98--109 (2023; Zbl 07792282) Full Text: DOI arXiv Link
Bhargava, Alok; Jain, Ravi Kumar; Singh, Jagdev Certain new results involving multivariable aleph \((\aleph)\)-function, Srivastava polynomials, hypergeometric functions and \(\overline{H}\)-function. (English) Zbl 1499.33019 Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 196, 10 p. (2021). MSC: 33C05 33C47 33C60 33C70 PDFBibTeX XMLCite \textit{A. Bhargava} et al., Int. J. Appl. Comput. Math. 7, No. 5, Paper No. 196, 10 p. (2021; Zbl 1499.33019) Full Text: DOI
Luchko, Yu. Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation. (English) Zbl 1461.35007 Theory Probab. Math. Stat. 98, 127-147 (2019) and Teor. Jmovirn. Mat. Stat. 98, 121-141 (2018). MSC: 35A08 35R11 26A33 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Yu. Luchko}, Theory Probab. Math. Stat. 98, 127--147 (2019; Zbl 1461.35007) Full Text: DOI arXiv
Luchko, Yuri On some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation. (English) Zbl 1474.35666 Mathematics 5, No. 4, Paper No. 76, 16 p. (2017). MSC: 35R11 35C05 35E05 35L05 45K05 60E99 PDFBibTeX XMLCite \textit{Y. Luchko}, Mathematics 5, No. 4, Paper No. 76, 16 p. (2017; Zbl 1474.35666) Full Text: DOI
Garrappa, Roberto; Rogosin, Sergei; Mainardi, Francesco On a generalized three-parameter Wright function of Le Roy type. (English) Zbl 1374.33019 Fract. Calc. Appl. Anal. 20, No. 5, 1196-1215 (2017). MSC: 33E12 30D10 30F15 35R11 PDFBibTeX XMLCite \textit{R. Garrappa} et al., Fract. Calc. Appl. Anal. 20, No. 5, 1196--1215 (2017; Zbl 1374.33019) Full Text: DOI arXiv
Luchko, Yuri; Kiryakova, Virginia The Mellin integral transform in fractional calculus. (English) Zbl 1312.26016 Fract. Calc. Appl. Anal. 16, No. 2, 405-430 (2013). MSC: 26A33 44A20 33C60 33E30 44A10 PDFBibTeX XMLCite \textit{Y. Luchko} and \textit{V. Kiryakova}, Fract. Calc. Appl. Anal. 16, No. 2, 405--430 (2013; Zbl 1312.26016) Full Text: DOI
Kilbas, Anatoly; Koroleva, Anna; Rogosin, Sergei Multi-parametric Mittag-Leffler functions and their extension. (English) Zbl 1312.33058 Fract. Calc. Appl. Anal. 16, No. 2, 378-404 (2013). MSC: 33E12 33C60 26A33 PDFBibTeX XMLCite \textit{A. Kilbas} et al., Fract. Calc. Appl. Anal. 16, No. 2, 378--404 (2013; Zbl 1312.33058) Full Text: DOI
Choi, Junesang; Agarwal, Praveen Certain unified integrals associated with Bessel functions. (English) Zbl 1293.33003 Bound. Value Probl. 2013, Paper No. 95, 9 p. (2013). MSC: 33B20 33C20 33B15 33C05 PDFBibTeX XMLCite \textit{J. Choi} and \textit{P. Agarwal}, Bound. Value Probl. 2013, Paper No. 95, 9 p. (2013; Zbl 1293.33003) Full Text: DOI
Srinivasan, Gopala Krishna A unified approach to the integrals of Mellin-Barnes-Hecke type. (English) Zbl 1270.33003 Expo. Math. 31, No. 2, 151-168 (2013). MSC: 33C05 33C10 33C15 PDFBibTeX XMLCite \textit{G. K. Srinivasan}, Expo. Math. 31, No. 2, 151--168 (2013; Zbl 1270.33003) Full Text: DOI arXiv
Friot, Samuel; Greynat, David On convergent series representations of Mellin-Barnes integrals. (English) Zbl 1274.81169 J. Math. Phys. 53, No. 2, 023508, 45 p. (2012). MSC: 81T15 81T18 81T10 81V25 30D10 PDFBibTeX XMLCite \textit{S. Friot} and \textit{D. Greynat}, J. Math. Phys. 53, No. 2, 023508, 45 p. (2012; Zbl 1274.81169) Full Text: DOI arXiv
Saxena, Ram K.; Pogány, Tibor K. On fractional integration formulae for Aleph functions. (English) Zbl 1242.33021 Appl. Math. Comput. 218, No. 3, 985-990 (2011). MSC: 33C60 26A33 PDFBibTeX XMLCite \textit{R. K. Saxena} and \textit{T. K. Pogány}, Appl. Math. Comput. 218, No. 3, 985--990 (2011; Zbl 1242.33021) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. (English) Zbl 1120.35002 J. Comput. Appl. Math. 207, No. 2, 245-257 (2007). MSC: 35A08 35A22 26A33 33E12 33C45 33C60 44A10 45K05 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, J. Comput. Appl. Math. 207, No. 2, 245--257 (2007; Zbl 1120.35002) Full Text: DOI arXiv
Mainardi, F.; Pagnini, G.; Gorenflo, R. Mellin convolution for subordinated stable processes. (English) Zbl 1411.60026 J. Math. Sci., New York 132, No. 5, 637-642 (2006). MSC: 60E07 60E10 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Math. Sci., New York 132, No. 5, 637--642 (2006; Zbl 1411.60026) Full Text: DOI
Mainardi, Francesco; Pagnini, Gianni; Saxena, R. K. Fox \(H\) functions in fractional diffusion. (English) Zbl 1061.33012 J. Comput. Appl. Math. 178, No. 1-2, 321-331 (2005). MSC: 33C60 33C20 33E12 33E20 33E30 26A33 44A15 60G18 60J60 PDFBibTeX XMLCite \textit{F. Mainardi} et al., J. Comput. Appl. Math. 178, No. 1--2, 321--331 (2005; Zbl 1061.33012) Full Text: DOI
Mainardi, Francesco Applications of integral transforms in fractional diffusion processes. (English) Zbl 1093.45003 Integral Transforms Spec. Funct. 15, No. 6, 477-484 (2004). Reviewer: Neville Ford (Chester) MSC: 45K05 44A10 26A33 33E12 42A38 35A22 60J60 35K05 PDFBibTeX XMLCite \textit{F. Mainardi}, Integral Transforms Spec. Funct. 15, No. 6, 477--484 (2004; Zbl 1093.45003) Full Text: DOI arXiv
Mainardi, Francesco; Pagnini, Gianni The Wright functions as solutions of the time-fractional diffusion equation. (English) Zbl 1053.35008 Appl. Math. Comput. 141, No. 1, 51-62 (2003). Reviewer: Ismail Taqi Ali (Safat) MSC: 35A22 26A33 35S10 PDFBibTeX XMLCite \textit{F. Mainardi} and \textit{G. Pagnini}, Appl. Math. Comput. 141, No. 1, 51--62 (2003; Zbl 1053.35008) Full Text: DOI