×

On a generalized integral transform. II. (English) Zbl 0211.14101

MSC:

44A05 General integral transforms
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Bromwich, T.J.I’A.: An introduction to the theory of infinite series. New York: St. Martin’s Press Inc. 1955.
[2] Cooke, R.G.: The inversion formulae of Hardy and Titchmarsh. Proc. London Math. Soc. (2)24, 381-420 (1926). · JFM 51.0235.02 · doi:10.1112/plms/s2-24.1.381
[3] Ditkin, V.K., Prudnikov, A.P.: Operational calculus in two variables and its applications. (Translated from Russian by D.M.G. Wishart.) International series of Monographs on Pure and Applied Mathematics, Vol. 24. New York-Oxford-London-Paris: Pergamon Press 1962. · Zbl 0116.30902
[4] Erdélyi, A., Magnus, W., Oberhettinger, F., Tricomi, F.G.: Higher transcendental functions, Vol. II. New York-Toronto-London: McGraw-Hill Book Company, Inc. 1953. · Zbl 0052.29502
[5] ????: Tables of integral transforms, Vol. I. New York-Toronto-London: McGraw-Hill Book Company, Inc. 1954. · Zbl 0055.36401
[6] Goldstein, S.: Operational representation of Whittaker’s confluent hypergeometric function and Weber’s parabolic cylinder function. Proc. London Math. Soc. (2)34, 103-125 (1932). · Zbl 0005.06002 · doi:10.1112/plms/s2-34.1.103
[7] Hardy, G.H.: Some formulae in the theory of Bessel functions. Proc. London Math. Soc. (2)23, lxi-lxiii (1925). · JFM 51.0235.01 · doi:10.1112/plms/s2-23.1.1
[8] Poli, L., Delerue, P.: Le calcul symbolique a deux variables et ses applications. Mémor. Sci. Math. No. 127. Paris: Gauthier-Villars 1954. · Zbl 0056.33201
[9] Reed, I.S.: The Mellin type of double integral. Duke Math. J.11, 565-572 (1944). · Zbl 0063.06455 · doi:10.1215/S0012-7094-44-01148-8
[10] Srivastava, H.M.: Some theorems on Hardy transform. Nederl. Akad. Wet. Proc. Ser. A71= Indagationes Math.30, 316-320 (1968). · Zbl 0164.42901
[11] ?: Certain properties of a generalized Whittaker transform. Mathematica (Cluj)10 (33), 385-390 (1968). · Zbl 0176.10202
[12] ?: On a generalized integral transform. Math. Z.108, 197-201 (1969). · Zbl 0186.44401 · doi:10.1007/BF01112019
[13] ?, Singhal, J.P.: Certain integrals involving Meijer’sG-function of two variables. Proc. Nat. Inst. Sci. India Part A35, 64-69 (1969). · Zbl 0174.36302
[14] Srivastava, H.M., Joshi, C.M.: Integration of certain products associated with a generalized Meijer function. Proc. Cambridge Philos. Soc.65, 471-477 (1969). · Zbl 0167.34601 · doi:10.1017/S0305004100044467
[15] ?, Vyas, O.D.: A theorem relating generalized Hankel and Whittaker transforms. Nederl. Akad. Wet. Proc. Ser. A72=Indagationes Math.31, 140-144 (1969). · Zbl 0176.10201
[16] van der Pol, B., Bremmer, H.: Operational calculus based on the two-sided Laplace integral. Cambridge: The University Press 1950. · Zbl 0040.20403
[17] Voelker, D., Doetsch, G.: Die zweidimensionale Laplace-Transformation: Eine Einführung in ihre Anwendung zur Lösung von Randwertproblemen nebst Tabellen von Korrespondenzen. Basel: Birkhäuser 1950. · Zbl 0040.05902
[18] Widder, D.V.: The Laplace transform. Princeton: The University Press 1946. · Zbl 0060.24801
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.