The theory of special functions was a core activity of the field of
applied mathematics, from the middle of the nineteenth century to the advent of high-speed
electronic computing. The intricate properties of
spherical harmonics,
elliptic functions and other staples of problem-solving in
mathematical physics,
astronomy and right across the
physical sciences, are not easy to document completely, absent a theory explaining the inter-relationships.
Mathematical tables to perform actual calculations needed to mesh with an adequate theory of how functions could be transformed into those already tabulated.
Harry Bateman, a distinguished applied mathematician, undertook the somewhat
quixotic task of trying to collate the content of the very large literature. On his death in 1946, his papers on this project were still in a uniformly rough state. The publication of the edited version provided special functions texts more up-to-date than, for example, the classic
Whittaker & Watson.
The volumes were out of print for many years, and copyright in the works reverted to the
California Institute of Technology, who renewed them in the early 1980s. In 2011, the California Institute of Technology gave permission for scans of the volumes to be made publicly available.
In 2007, the AskeyâBateman project was announced by
Mourad Ismail as a five- or six-volume encyclopedic book series on special functions, based on the works of
Harry Bateman and
Richard Askey.[1]
Bejtmen, G.;
Erdeji, Arthur (1969). Tablicy intelgral'nych preobrazovanij - I. Preobrazovanija Fur'e, Laplasa, mellina [Tables of integral transforms - Volume I.] (in Russian). Moscow:
Nauka. (343 pages, cloth hardcover)
Bejtmen, G.;
Erdeji, Arthur (1969). Tablicy intelgral'nych preobrazovanij - II. Preobrazovanija Vesselja. Integraly otspecial'nych funkcij [Tables of integral transforms - Volume II.] (in Russian). Moscow:
Nauka. (327 pages, cloth hardcover)
References
^
abIsmail, Mourad E. H. (2007-09-15). Dominici, Diego; Muldoon, Martin (eds.).
"The Askey-Bateman Project"(PDF). OP-SF NET: The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions. Vol. 14, no. 5. pp. 9â10. Topic #7.
Archived(PDF) from the original on 2020-07-07. Retrieved 2020-09-26. (23 pages)
The theory of special functions was a core activity of the field of
applied mathematics, from the middle of the nineteenth century to the advent of high-speed
electronic computing. The intricate properties of
spherical harmonics,
elliptic functions and other staples of problem-solving in
mathematical physics,
astronomy and right across the
physical sciences, are not easy to document completely, absent a theory explaining the inter-relationships.
Mathematical tables to perform actual calculations needed to mesh with an adequate theory of how functions could be transformed into those already tabulated.
Harry Bateman, a distinguished applied mathematician, undertook the somewhat
quixotic task of trying to collate the content of the very large literature. On his death in 1946, his papers on this project were still in a uniformly rough state. The publication of the edited version provided special functions texts more up-to-date than, for example, the classic
Whittaker & Watson.
The volumes were out of print for many years, and copyright in the works reverted to the
California Institute of Technology, who renewed them in the early 1980s. In 2011, the California Institute of Technology gave permission for scans of the volumes to be made publicly available.
In 2007, the AskeyâBateman project was announced by
Mourad Ismail as a five- or six-volume encyclopedic book series on special functions, based on the works of
Harry Bateman and
Richard Askey.[1]
Bejtmen, G.;
Erdeji, Arthur (1969). Tablicy intelgral'nych preobrazovanij - I. Preobrazovanija Fur'e, Laplasa, mellina [Tables of integral transforms - Volume I.] (in Russian). Moscow:
Nauka. (343 pages, cloth hardcover)
Bejtmen, G.;
Erdeji, Arthur (1969). Tablicy intelgral'nych preobrazovanij - II. Preobrazovanija Vesselja. Integraly otspecial'nych funkcij [Tables of integral transforms - Volume II.] (in Russian). Moscow:
Nauka. (327 pages, cloth hardcover)
References
^
abIsmail, Mourad E. H. (2007-09-15). Dominici, Diego; Muldoon, Martin (eds.).
"The Askey-Bateman Project"(PDF). OP-SF NET: The Electronic News Net of the SIAM Activity Group on Orthogonal Polynomials and Special Functions. Vol. 14, no. 5. pp. 9â10. Topic #7.
Archived(PDF) from the original on 2020-07-07. Retrieved 2020-09-26. (23 pages)