Integrals of Lommel's Type for Confluent Hypergeometric Functions
Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 28-31
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In this note we derive some integrals involving confluent hypergeometric functions and analogous to Lommel's integrals for Bessel functions. Although the method of derivation is straightforward, the integrals do not seem to be mentioned in the literature.
Martin, D. Integrals of Lommel's Type for Confluent Hypergeometric Functions. Glasgow mathematical journal, Tome 1 (1952) no. 1, pp. 28-31. doi: 10.1017/S2040618500032901
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author = {Martin, D.},
title = {Integrals of {Lommel's} {Type} for {Confluent} {Hypergeometric} {Functions}},
journal = {Glasgow mathematical journal},
pages = {28--31},
year = {1952},
volume = {1},
number = {1},
doi = {10.1017/S2040618500032901},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500032901/}
}
TY - JOUR AU - Martin, D. TI - Integrals of Lommel's Type for Confluent Hypergeometric Functions JO - Glasgow mathematical journal PY - 1952 SP - 28 EP - 31 VL - 1 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500032901/ DO - 10.1017/S2040618500032901 ID - 10_1017_S2040618500032901 ER -
[(1)] (1)Whittaker, & Watson, : Modern Analysis, Chapter XVI. Google Scholar
[(2)] (2)MacRobert, : Functions of a Complex Variable, 3rd edition, p. 351. Google Scholar
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