Integrals involving hypergeometric functions and E-functions
Glasgow mathematical journal, Tome 2 (1958) no. 4, pp. 196-198
Voir la notice de l'article provenant de la source Cambridge University Press
In § 2 a number of integrals in which the integrand contains a product of a hypergeometric function and an E-function will be evaluated. The following formulae will be employed in the proofs.If ρ +σ = α + β + γ + 1, and if α, β or γ is zero or a negative integer,this is Sallschütz's theorem [1].If R(γ - 1⁄2α - 1⁄2β)< - 1⁄2,This theorem was given by Wastson [2] for negative integral values of α and later by Whipple [3] for general values α.R(γ) > 0,This formula was given by Whipple [3]l is a positive integer,
Macrobert, T. M. Integrals involving hypergeometric functions and E-functions. Glasgow mathematical journal, Tome 2 (1958) no. 4, pp. 196-198. doi: 10.1017/S2040618500033712
@article{10_1017_S2040618500033712,
author = {Macrobert, T. M.},
title = {Integrals involving hypergeometric functions and {E-functions}},
journal = {Glasgow mathematical journal},
pages = {196--198},
year = {1958},
volume = {2},
number = {4},
doi = {10.1017/S2040618500033712},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033712/}
}
TY - JOUR AU - Macrobert, T. M. TI - Integrals involving hypergeometric functions and E-functions JO - Glasgow mathematical journal PY - 1958 SP - 196 EP - 198 VL - 2 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033712/ DO - 10.1017/S2040618500033712 ID - 10_1017_S2040618500033712 ER -
[1] 1.Saalschütz, L., Zeitschrift für Math. u. Phys., 35 (1890), 186–188; 36 (1891), 278–295, 321–327. Google Scholar
[2] 2.Watson, G. N., Proc. London Math. Soc. (2), 23 (1923), XIII–XV. Google Scholar
[3] 3.Whipple, F. J. W., Proc. London Math. Soc. (2), 23 (1923), 104–114. Google Scholar
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