×

zbMATH — the first resource for mathematics

Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen \(q\)-Differenzengleichung. Das \(q\)-Analogon der Laplace-Transformation. (German) Zbl 0033.05703

MSC:
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
44A10 Laplace transform
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Erdélyi, Math. Z. 42 pp 126– (1936)
[2] Erdélyi, Mh. Math. Phys. 45 pp 32– (1936)
[3] Hadwiger, Jber. Deutsehe Math.-Verein. 47 pp 35– (1937)
[4] Hahn, Math. Nachr., Berlin 2 pp 4– (1949)
[5] Hahn, Math. Nachr., Berlin 2 pp 263– (1949)
[6] Heine, J. rein\c{} angew. Math. 32 pp 210– (1846) · ERAM 032.0920cj
[7] Handbuch der Theorie der Kugelfunktionen, Bd. 1. Berlin 1878, S. 97 ff.
[8] Jackson, Proc. London math. Soc., II., s. 2 pp 192– (1904)
[9] Jackson, Proc. Edinburgh math. Soc. 22 pp 28– (1904)
[10] Jackson, Messenger Math. 34 pp 32– (1904)
[11] Knoll, Verallgemeinerte Bernoullische Polynome. Deutsche Math. 1 pp 156– (1936)
[12] Rey Pastor, Bol. Sem. mat., Buenos Aires 2 pp 9– (1929)
[13] Thomae, J. reine angew. Math. 70 pp 258– (1869) · JFM 02.0122.04
[14] Thomae, Ann. Mat. pura appl., Bologna, II. s. 4 pp 105– (1871) · JFM 03.0108.01
[15] A treatise on the theory of Bessel functions. Cambridge 1922.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.