Francesco Tricomi

Francesco Giacomo Tricomi
Born	5 May 1897 Naples, Italy
Died	21 November 1978 (aged 81) Turin, Italy
Nationality	Italian
Fields	Mathematics

Francesco Giacomo Tricomi (5 May 1897 – 21 November 1978) was an Italian mathematician famous for his studies on mixed type partial differential equations.^[1] He was also the author of a book on integral equations.

He was born in Naples. He graduated at the University of Naples in 1918 and later was assistant to Francesco Severi, first in Padua and then in Rome. Later he was professor at Turin, called by Giuseppe Peano, a position he held until his retirement in 1967.

From 1943 to 1945 and from 1948 to 1951 at the California Institute of Technology of Pasadena, he collaborated on the manual of special functions for the Bateman manuscript project, together with Arthur Erdélyi, Wilhelm Magnus and Fritz Oberhettinger.

Tricomi was a member of the Accademia nazionale dei Lincei and of the Accademia delle Scienze di Torino (Turin Academy of Sciences), of which he was also president.

Selected publications

• Vorlesungen über Orthogonalreihen, Springer Verlag, Berlino, 1955 (traduzione di: Serie ortogonali di funzioni, Istituto Editoriale Gheroni, 1948)^[2]
• Integral Equations, Dover, New York, 1985, ISBN 0486648281; 1st edition. 1957.^[3]
• Equazioni differenziali, 3rd edition, Boringhieri, 1961 (translated by Elizabeth A. McHarg into English as Differential Equations. NY: Hafner. 1961.); 1st edition. Torino: G. Einaudi. 1948.^[4] 2nd edition. 1953.^[5]
• Carlo Ferrari^[6] e Francesco Giacomo Tricomi, Aerodinamica transonica, Cremonese, Roma, 1962 ISBN 8870833658
• Funzioni Analitiche, Nicola Zanichelli Editore, Bologna, 1961 (reprint of 2nd edn.); 1st edition. 1937.^[7] 2nd edition. 1946.^[8]
• Lezioni sulle funzioni ipergeometriche confluenti, Gheroni, Torino, 1952^[9]
• Funzioni ipergeometriche confluenti, Cremonese, Roma, 1954^[10]
• Funzioni ellittiche, Nicola Zanichelli Editore, Bologna, 1937^[7]
• Lezioni di analisi matematica, CEDAM, 1965, ISBN 8813319509
• Esercizi e complementi di analisi matematica, CEDAM, 1951
• Lezioni sulle equazioni a derivate parziali, Editrice Gheroni Torino, 1954^[11]
• Equazioni a derivate parziali, Edizioni Cremonese, Roma, 1957^[12]
• A. Erdélyi, W. Magnus F. Oberhettinger, F. G. Tricomi Higher transcendental functions. (3 vols.), McGraw-Hill, New York, 1953 (fa parte del Bateman manuscript project)
• A. Erdélyi, W. Magnus F. Oberhettinger, F. G. Tricomi Tables of integral transforms, McGraw-Hill, New York, 1954 (fa parte del Bateman manuscript project)
• Tricomi, Francesco G. (1967), La mia vita di matematico attraverso la cronistoria dei miei lavori. (Bibliografia commentata 1916–1967), Padova: CEDAM – Casa Editrice Dott. Antonio Milani, pp. XII+172, ISBN 978-88-13-32679-1, MR 0274255, Zbl 0199.28603.

See also

• Tricomi–Carlitz polynomial
• Euler–Tricomi equation

Notes

1. Biography by J.J. O'Connor and E F Robertson
2. Erdélyi, A. (1961). "Review: Vorlesungen über Orthogonalreihen by F. G. Tricomi, trans. by F. Kasch" (PDF). Bull. Amer. Math. Soc. 67 (5): 447–449. doi:10.1090/s0002-9904-1961-10625-3.
3. Heins, Albert E. (1958). "Review: Integral equations by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 64 (4): 197–198. doi:10.1090/s0002-9904-1958-10207-4.
4. Murray, F. J. (1950). "Review: Equazioni differenziali by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 56 (2): 195–196. doi:10.1090/s0002-9904-1950-09383-5.
5. Reid, W. T. (1955). "Review: Equazioni differenziali, 2nd ed., 1953, by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 61 (4): 371–372. doi:10.1090/s0002-9904-1955-09962-2.
6. Then full professor in Applied Mechanics at the Polytechnic University of Turin
7. Raynor, G. E. (1938). "Review of Funzioni Analitiche and Funzioni Ellittiche by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 44, Part 1 (9): 610–611. doi:10.1090/S0002-9904-1938-06798-5.
8. Strodt, Walter (1947). "Review: Funzioni Analitiche, 2nd ed., by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 53 (7): 739–740. doi:10.1090/s0002-9904-1947-08845-5.
9. Erdélyi, A. (1954). Review of two books: "Lezioni sulle funzioni ipergeometriche confluenti" by F. G. Tricomi and "Die konfluente hypergeometrische Funktion, mit besonderer Berücksichtigung ihrer Anwendungen" by Herbert Buchholz (PDF). Bull. Amer. Math. Soc. 60. pp. 185–189.
10. Erdélyi, A. (1955). "Review: Funzioni ipergeometriche confluenti by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 61 (5): 456–460. doi:10.1090/s0002-9904-1955-09956-7.
11. Bellman, Richard (1955). "Review: Lezioni sulle equazioni a derivate parziali by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 61 (5): 87–88. doi:10.1090/S0002-9904-1955-09875-6.
12. Heins, A. E. (1959). "Review: Equazioni a derivate parziali by F. G. Tricomi" (PDF). Bull. Amer. Math. Soc. 65 (3): 169–170. doi:10.1090/s0002-9904-1959-10316-5.

External links

• Page at Accademia delle Scienze of Turin (English)
• Integral Equations by F.G. Tricomi (English)