The H-Function: Theory and Applications

By Arak M. Mathai, R. Saxena, Hans J. Haubold. 2009

986 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/1d36c8087eda6b9b7ea0bdf921cedd8c191db9a6

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Citations in the corpus

Science metrics on fractional calculus development since 1966 (2013, background): “Figure 2 (left) depicts the evolution of Da [19, 12, 56, 75, 57, 99, 60, 87, 100, 100, 77, 68, 85, 95, 69, 70, 71, 72, 78, 23, 102, 13, 96, 64, 114, 36, 79, 73, 91, 63, 84, 80, 105, 109, 4, 111, 82, 22, 27, 28, 110, 81, 67, 32, 29, 86, 52, 33, 117, 106, 55, 58, 112, 113, 108, 6, 15, 2, 41, 59, 10, 4”
Integral and computational representations of the extended Hurwitz–Lerch zeta function (2011, unknown): “When α1 = · · · = αn = 1 and βm+1 = · · · = βq = 1, the H -function reduces to the familiar Fox’s H -function (see, for details, [18,33]).”
A practical guide to Prabhakar fractional calculus (2020, background): “Moreover, if we recall the relation between the Fox–Wright functions and the Fox H– function [102], i.”
The Chronicles of Fractional Calculus (2017, unknown): “2009 [6, 90, 122, 27, 89, 77, 155] [109, 17] 2010 [111, 31, 133, 165, 46] [98, 106, 63] 2011 [156, 144, 87, 65, 126, 92, 3, 187, 207, 78, 44, 93] [86, 18]”
Multivariate analogue of generalized Mittag-Leffler function (2011, background): “[11] S.L. Kalla, Integral operators involving Fox’s H-function, Acta Mexicana Cien.”
Certain Fractional Integral Operators and the Generalized Incomplete Hypergeometric Functions (2013, unknown): “…(1.6) and (1.7), respectively, can be deduced from Corollaries 1 and 2 by appropriately applying the following relationships (see, for example, (A. M. Mathai and Haubold, 2010)): ( Rα0,xf ) (x) := 1 Γ(α) ∫ x 0 (x− t)α−1 f(t)dt = ( Iα,−α,ω0,x f ) (x), (3.5) ( Wαx,∞f ) (x) := 1 Γ(α) ∫ ∞ x (t− x)α−1…”