Francesco Tricomi Explained

Francesco Giacomo Tricomi
Birth Name:	Francesco Giacomo Tricomi
Birth Date:	1897 5, df=yes
Birth Place:	Naples, Italy
Death Place:	Turin, Italy
Nationality:	Italian
Workplaces:	University of Padua University of Rome University of Florence University of Turin
Alma Mater:	University of Bologna University of Naples
Field:	Mathematics
Known For:	Euler–Tricomi equation Tricomi–Carlitz polynomial
Spouse:	Susanna Fomm

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.

Biography

Tricomi was born in Naples. He first enrolled in the University of Bologna, where he took chemistry courses. However, Tricomi realized that he preferred physics rather than chemistry; he moved to the University of Naples in 1915.^[2] 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.

He was an Invited Speaker of the ICM in 1928 at Bologna^[3] and in 1932 in Zurich. 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)^[4]
• Integral Equations, Dover, New York, 1985, ; Book: 1st edition. 1957. ^[5]
• Equazioni differenziali, 3rd edition, Boringhieri, 1961 (translated by Elizabeth McHarg into English as Book: Differential Equations. NY. Hafner. 1961.); Book: 1st edition. Torino. G. Einaudi. 1948. ^[6] Book: 2nd edition. 1953. ^[7]
• Carlo Ferrari^[8] e Francesco Giacomo Tricomi, Aerodinamica transonica, Cremonese, Roma, 1962
• Funzioni Analitiche, Nicola Zanichelli Editore, Bologna, 1961 (reprint of 2nd edn.); Book: 1st edition. 1937. ^[9] Book: 2nd edition. 1946. ^[10]
• Lezioni sulle funzioni ipergeometriche confluenti, Gheroni, Torino, 1952^[11]
• Funzioni ipergeometriche confluenti, Cremonese, Roma, 1954^[12]
• Funzioni ellittiche, Nicola Zanichelli Editore, Bologna, 1937^[9]
• Lezioni di analisi matematica, CEDAM, 1965,
• Esercizi e complementi di analisi matematica, CEDAM, 1951
• Lezioni sulle equazioni a derivate parziali, Editrice Gheroni Torino, 1954^[13]
• Equazioni a derivate parziali, Edizioni Cremonese, Roma, 1957^[14]
• 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)
• .

See also

• Confluent hypergeometric function
• Transonic

References

Biographical and general references

• .

External links

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

Notes and References

1. Web site: Biography by J.J. O'Connor and E F Robertson . 2008-10-18 . 2019-06-05 . https://web.archive.org/web/20190605024930/http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Tricomi.html . dead .
2. Web site: Francesco Tricomi - Biography . 2022-12-18 . Maths History . en.
3. Book: Tricomi, F.. http://www.mathunion.org/ICM/ICM1928.3/Main/icm1928.3.0027.0030.ocr.pdf. 3. Sull'equazione y ∂²z/∂x² + ∂²z/∂y² = 0.. In: Atti del Congresso Internazionale dei Matematici: Bologna del 3 al 10 de settembre di 1928. 27–30. 1929. 2017-12-04. 2017-12-05. https://web.archive.org/web/20171205093002/http://www.mathunion.org/ICM/ICM1928.3/Main/icm1928.3.0027.0030.ocr.pdf. dead.
4. Erdélyi, A.. Arthur Erdélyi. Review: Vorlesungen über Orthogonalreihen by F. G. Tricomi, trans. by F. Kasch. Bull. Amer. Math. Soc.. 1961. 67. 5. 447–449. 10.1090/s0002-9904-1961-10625-3. free.
5. Heins, Albert E.. Review: Integral equations by F. G. Tricomi. Bull. Amer. Math. Soc.. 1958. 64. 4. 197–198. 10.1090/s0002-9904-1958-10207-4. free.
6. Murray, F. J.. Francis Joseph Murray. Review: Equazioni differenziali by F. G. Tricomi. Bull. Amer. Math. Soc.. 1950. 56. 2. 195–196. 10.1090/s0002-9904-1950-09383-5.
7. Reid, W. T.. Review: Equazioni differenziali, 2nd ed., 1953, by F. G. Tricomi. Bull. Amer. Math. Soc.. 1955. 61. 4. 371–372. 10.1090/s0002-9904-1955-09962-2. free.
8. Then full professor in Applied Mechanics at the Polytechnic University of Turin
9. Raynor, G. E.. Review of Funzioni Analitiche and Funzioni Ellittiche by F. G. Tricomi. Bull. Amer. Math. Soc.. 1938. 44, Part 1. 9. 610–611. 10.1090/S0002-9904-1938-06798-5. free.
10. Strodt, Walter. Review: Funzioni Analitiche, 2nd ed., by F. G. Tricomi. Bull. Amer. Math. Soc.. 1947. 53. 7. 739–740. 10.1090/s0002-9904-1947-08845-5. free.
11. Erdélyi, A.. 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. Bull. Amer. Math. Soc.. 1954. 60. 2. 185–189.
12. Erdélyi, A.. Review: Funzioni ipergeometriche confluenti by F. G. Tricomi. Bull. Amer. Math. Soc.. 1955. 61. 5. 456–460. 10.1090/s0002-9904-1955-09956-7. free.
13. Bellman, Richard. Richard E. Bellman. Review: Lezioni sulle equazioni a derivate parziali by F. G. Tricomi. Bull. Amer. Math. Soc.. 1955. 61. 5. 87–88. 10.1090/S0002-9904-1955-09875-6. free.
14. Heins, A. E.. Review: Equazioni a derivate parziali by F. G. Tricomi. Bull. Amer. Math. Soc.. 1959. 65. 3. 169–170. 10.1090/s0002-9904-1959-10316-5. free.