Open AccessThe diffraction of sound pulses III. Note on an integral occurring in the theory of diffraction by a semi-infinite screen
Author(s) -
F G FRIEDLANDER
Publication year - 1946
Publication title -
proceedings of the royal society of london. series a, mathematical and physical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.814
H-Index - 135
eISSN - 2053-9169
pISSN - 0080-4630
DOI - 10.1098/rspa.1946.0048
Subject(s) - diffraction , series (stratigraphy) , mathematics , mathematical analysis , physics , optics , paleontology , biology
This note completes the development of certain approximations of the integralP (X,T ) which was defined in the first paper of this series. The two expansions for small and largeX respectively whose first terms were then given are stated in full and the magnitude of the remainders estimated. Another expansion ofP (X ,T ) is proposed which is valid whenT , as well asX , is small.