# Guide to the Gabor Szego Papers SC0323

**Note**

**Language of Material:**Undetermined

**Contributing Institution:**Department of Special Collections and University Archives

**Title:**Gabor Szego papers

**creator:**Szegő, Gábor

**Identifier/Call Number:**SC0323

**Physical Description:**22.5 Linear Feet

**Date (inclusive):**circa 1910-1980

**Abstract:**Professional and personal correspondence, ephemera, manuscripts, photographs, technical reports and publications, ca. 1910 to 1980.

**
Biographical/Historical Sketch
**

**Subjects and Indexing Terms**

**Papers**

**Various correspondence of '35-'59; Math notes.**

**(Previously unfoldered) Copies of letters from Budapest
1918-1925.
**

**(Previously unfoldered) Convolution Structures for Laguerre
Polynomials.
**

**(Hungarian?) Math Journal (some notes)**

**(Previously loose) Memorandum from Berkeley; Proposal for Approximations
Grant; '71 letter; Notes in Hungarian.
**

**Notes in Hungarian**

**Notes in Hungarian (from enclosed envelope)**

**Notes in Hungarian**

**Notes in Hungarian**

**Essays and Notes in English, Hungarian, French.**

**1929 Letters & Notes (from enclosed envelope)**

**1946-47 Letters & Notes (few in English; from enclosed
envelope)
**

**(Previously loose) Hebrew Univ. program; Germanic Program; Typed English
notes.
**

**From cardboard folder - math notes.**

**English math notes; perhaps sent from Riverside, CA. (envelope
enclosed).
**

**Math notes from enclosed mail folder**

**Loose-leaf math notes**

**a) 1949 letter; '49 Slavo-Germanic program; accompanying notes b) Computer
print-outs (3); Loose-leaf notes; 1955 letter to & response from Dr. TJ. Higgins,
Univ. of Wisconsin.
**

**a) Printed and handwritten notes; Computer printout. b) Scratch(?) paper
notes c) 1940, 1914(?) letters & notes d) 1944 bluebook cover (Susan Steindler);
Notes; Pages 23-48 of mathematical essay.
**

**a) Mathematical notes and corrections b) Scratch notes; September '69 letter
to R.S. Woodruff (Houston Aerospace); Dec 21, 1966 letter from Richard Askey (U. of
Wisconsin); Notes on "Positivity of Cotes Numbers for some Ultraspherical Abscissas.
"
**

**Brown Binder is from Brown University Advanced Instruction and Research in
Mechanics Summer Session, 1942. It is titled, "Geometrical Foundations of Mechanics" -
by Hilda Geuinger.
**

**a) "Recent Contributions of the Hungarian School to Conformal Mapping" - G.
Szego. b) "Problems and Theorems in Analysis" - G. Polya & G. Szego
**

**a) "Conformal Mapping Related to Torsional Rigidity, Principal Frequency, and
Electrostatic Capacity" - G. Szego b) "An Extremum Problem for Polynomials" - 1.1.
Schoenberg & G. Szego c) "Note to my Paper 'On Membranes and Plates'" -G.
Szego
**

**a) Pamphlet and letter from Max Shiffman b) Pamphlet and letter from Max
Shiffman - J.B. Diaz
**

**By G. Szego: "On the Relative Extrema of Legendre Polynomials," "On the
Gradient of Solid Harmonic Polynomials," and "On Membranes and Plates. "
**

**Also by Szego, and following folder #4, are two copies of the American
Mathematical Society's Translations
**

**a) Letters from Univ. of Wisconsin's Richard Askey. Letters range from 1966
to 1982. b) Photocopied notes on Gamma Hypergeometric Functions; 1968 letters from R.
Askey.
**

**George Gasper's notes on the work of Richard Askey; Further work of
Gasper.
**

**Aug. '70; Rough draft of Hallard Croft's "Research Problems in Intuitive
Math."
**

**Orthogonal Polynomials & Special Functions -Richard Askey,
1974.
**

**Lecture 1: "Classical results for trigonometric polynomials and Fourier
series and other isolated results." Lecture 5: "Linearization by products." Lecture
10: "Suggestions for further work."
**

**a) Tests and scratch work for Math A. b) Math 100 (Adv. Calculus) Autumn
1954/55 c) Algebra A (Autumn 1943)
**

**1966 Telegrams and Letters (re. Hungarian Academy of Sciences) 1970 Letters,
etc. (re. Prof. Szego's 75th Birthday)
**

**G. Szego Inaugural Dissertation -April, 1918.**

**a) Notes in Hungarian from enclosed envelope. b) Math 214 Finals ('63 &
'64); Notes.
**

**a) Notes from folder labeled "Infinite Processes .... " 214b. Winter, 1964.
b) "Linear Diff. Equations / Complex Variables. 1955 Folder & Notes 206a,
252b."
**

**a) Notes from folder labeled, "Complex Variables 206B (3rd part) / Spring
Term 1906 (Zeta Function)." b) From folder marked both"Complex Variables / 206b, c.
Advanced Topics / WQ 1953-54. SpQ 1954." and "1. I. i. M. P." c) "Complex Variables
206a. / Winter Quarter 1958-59. Mo, We, Fr 2:15. Beginn. Jan 7; room 370."
**

**a) "Complex Variables / Autumn 1943" b) "Math 206b. Complex Variables II /
Winter 1949. Complex Variables III/Spring 1949." c) "206a. Complex Variables / Autumn
1953" d) "Complex Variables II. 206b. 1947-48 Winter Quarter"
**

**More Complex Variables II 206b (Spring 1958)**

**a) "Infinite Processes, 2nd part / 202b. Winter Quarter 1958-59 Mo, We, Fr
3:15. Beginning Jan 7; room 61H" b) "NumberTheory 152b/Winter, 1964." c) "Number
Theory 152a, b." - includes note from student. d) Scratch work (presumably of Prof.
Szego). Undated.
**

**a) From envelope marked "D-E." --contains correspondence with W.L. Everitt,
A. Dresden, Prof. R.1. Duffin, D.K. Dorge. b) From envelope marked "c." --contains
letters from D.R. Curtis, A. Cohen, Ludwig Casper, C. Caratheodory, W.D. Cairns,
others.
**

**a) From envelope marked "Hadamard- Hildebreudt." --contains letters from 1.
Hadamard, T. Hayashi, A. Heins. b) From envelope marked "1-1." --contains letters from
A.E. Ingham, D. Jackson, K. Iseki, M. Ingraham.
**

**a) From envelope marked "Hille" --contains letters from Einar Hille. (Letters
date from 1925 to 1946.) b) From envelope marked "F (Faber-Fujiwara)." --contains
letters from J. Franck, H. Freudenthal, R. Frucht, M. Fujiwara.
**

**a) From envelope marked "H." --contains letters from H. Hsii, C. Hutchinson,
H. Hilton, E. Hopf. b) From envelope marked "A" --contains letters from N. Achyeser,
R.c. Archibald, Ardin.
**

**a) From envelope marked "G." --contains letters from H. Geiringer, 1.
Geronimus, M. Gottlieb, A Goodman, E.!. Gumbel. b) From envelope marked "Bi-Boas."
--contains letters from L. Bieberbach, W. Blasche, H. Bateman, O.
Blumenthal.
**

**From envelope marked "B (Bochner-Buffer)." --contains letters from L. Brower,
A Bohr, A Brauer, R. Brauer, F. Butter, C.E. Buell, H. Brickner, W. Brecka, 1.R.
Britton.
**

**Certificate of Recognition from Encyclopedia Britannica.**

**From folder marked, "Misc. Current." --contains random documents,
etc.
**

**From folder marked, "Important Correspondence." -includes letters from M.
Schiah, D.C. Russel, W.S. Dix, W.H. Leahey, A Pal.
**

**From enclosed folder. A variety of letters, documents, etc. (Apparently
somewhat important, if disorganized, stuff.)
**

**Schaeffer-Szego Correspondence.**

**From folder marked both "M.A Correspondence 1950-1957" and "Fellowships -
Scientific Personnel" --contains letters dating from '44 to '57.
**

**a) "Monotonicity Properties of Bessel Functions" b) Szego's correspondences
(various dates and names).
**

**From folder labeled "Polya- Szego." --contains reviews of Aufgaben und
Lehrsatze der Analysis (by G. Polya & G. Szego); some programs; 1968 letter from
Polya.
**

**From folder marked "Polya, Peters, Billingim, etc." --contains mostly
letters.
**

**Red book contains 1954 letters from various friends, mostly pertaining to
Szego's sixtieth birthday.
**

**lAC / Istituto Per Le Applicazioni Del Calcolo" publications. Series III,
Numbers 33-46
**

**lAC. Series III, Numbers 47-61**

**lAC. Series III, Numbers 62-70**

**An Extremium Problem for Polynomials" -!.J. Schoenberg & Gabor Szego. (12
copies)
**

**Publicationes Mathematicae -Dec 1961 ed. (23 copies)**

**Between folders #5 and #6 lies "Rendiconti del Seminario Matematico." (2
copies of 1982 publications)
**

**a) "Orthogonal Expansions and Their Continuous Analogues" -From Southern
Illinois Univ. 1967. (10 copies) b) "An Inequality for Jacobi Polynomials." -G. Szego.
(8 copies)
**

**a) "Recent Advances and Open Questions on the Asymptotic Expansions of
Orthogonal Polynomials." 1959 -G. Szego (11 copies) b) Szego's book review of Higher
Transcendental Functions, 1954 (13 copies)
**

**a) "On Certain Set Functios Defined By Extremum Properties in the Theory of
Functions and in Mathematical Functions." 1950 -G. Szego (5 copies) b) "On Positive
Harmonic Polynomials." 1962 -G. Szego (20 copies) c) "An Outline of the History of
Orthogonal Polynomials" -G. Szego (1 copy) d) "Corrigenda." 1954 (2 copies) e) "Annali
Di Matematica." 1955 (1 copy)
**

**Between folders #8 and #9 lie "Journal of the London Mathematical Society."
(July 1964 ed.), and "Journal D'Analyse Mathematique." (1981 ed.)
**

**a) "Concerning the Fourier Coefficients of a Nonnegative Function." 1960 -G.
Szego (multiple copies) b) "On Bi-orthogonal Systems of Trigonometric Polynomials."
1964 -G. Szego (7 copies) c) "An extremum Problem for Polynomials." 1960 -1.J.
Schoenberg and G. Szego (4 copies)
**

**a) "Istanbul Teknic Universitesi Buleteni" (5 issues) b) "Journal d'Analyse
Mathematique" (4 issues)
**

**Contents of October 4, 1973 envelope from "J. Wiley & Sons, Inc.
Publishers, New York." Multiple pages of math problems.
**

**Misc. items from envelope marked "R.Askey." --contains a number of small
pamphlets, labeled, "R. Accademia Delle Scienze," "Sur Ie Probleme Des Moments," and
"Matematikai Lapok." Also contains postcards, letters to Szego, and an Oregon
Mathematical periodical.
**

**Between folders #2 and #3 are five small booklets, titled as follows: "Hankel
Operations, Best Approximations and Stationary Gaussian Processes I" - Peller &
Hruscev; "Isoperimetric Inequalities in Mathematical Physics" -Szego & Polya;
"Einar Hille" -Nelson Dinford; "Matematikai Lapok" - H. Janos; and "News & Views,
1982 ed."
**

**a) From folder marked "Dartmouth" --contains letters from 1. W. Young. b)
From folder marked "Polya Anniversary 1964" --contains letters from M. Plancherel and
the Polya Anniv. Volume's original art.
**

**Letters from Mount Holyoke a) Letters from A. Walfisz b) Letters from G.N.
Watson c) Letters to Polya
**

**a) From folder labeled "Polya." --contains letters from Gurland, Boas,
others; and pages of mathematical notes b) From folder labeled "Toeplitz: copies
4,5,6."
**

**Contents labeled (presumably by Szego), "Original Corrections.**

**Contents labeled (presumably by Szego), "Askey Proofs &
Letter.
**

**Contents labeled (presumably by Szego), "Copy of Proofs for G.
Szego.
**

**Random Letters, Notes, Publications.**

**Bau Beacon 1945 publication; Photocopies of math notes in
Hungarian.
**

**From envelope labeled "Wiew(?) 1918." a) Stanford Appointments b) Letters,
Documents, Honorary statements, Math notes.
**

**From envelope marked "Szolnok." --contains various documents, letters,
statements ....
**

**From folder labeled "Veronica Szego" and "Claude & Marie-Antoinette."
--contains several letters, documents, and reminisces, in addition to a small book
called "Rendiconti del Seminario Matematico."
**

**From envelope labeled, "Mr. Szego." --contains an assortment ofletters,
invitations, statements, documents, photographs, notes, etc.
**

**From folder marked "Germany; Nazi Period.**

**From folder marked "Germany Before Nazis**

**From folder marked "St. Louis Time**

**Besides five portraits and two small pins, this box contains the following
books- Ergebnisse Der Funktionentheorie -Dr. E. Landau Mathematikai es Physikai Lapok
- Huszadik Kotet Theorie Der Algebraischen Zahlen - E. Hecke Die Legre Von Den
Kettenbrilchen - Dr. Oskar Perron On the Theory of Bessel Functions - G.N. Watson -
and two copies of Orthogonal Polynomials - Gabor Szego
**