George Piranian | Academic Influence

Why Is George Piranian Influential?

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According to Wikipedia, George Piranian was a Swiss-American mathematician of Swiss and Armenian descent. Piranian was internationally known for his research in complex analysis, his association with Paul Erdős, and his editing of the Michigan Mathematical Journal.

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George Piranian's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Metric properties of polynomials (1958) (58)
II. The Problem of Learning to Teach (1975) (38)
Sets of convergence of Taylor series. II. (1949) (32)
Two monotonic, singular, uniformly almost smooth functions (1966) (28)
The derivative of a Schlichtfunction (1955) (24)
Convergence properties of sequences of linear fractional transformations. (1957) (24)
Lusin's theorem on areas of conformal maps. (1955) (23)
The boundary of a simply connected domain (1958) (21)
On the univalence of functions whose derivative has a positive real part (1951) (18)
Bounded analytic functions and absolutely continuous measures (1967) (16)
Boundary functions for functions defined in a disk. (1961) (16)
The radial behavior of Blaschke products (1985) (14)
Tsuji functions with segments of Julia (1964) (14)
Compression and expansion of boundary sets (1973) (13)
Bounded functions with large circular variation (1968) (12)
Conformal mappings and Peano curves. (1952) (10)
Restricted cluster sets (1960) (10)
The topologization of a sequence space by Toeplitz matrices. (1958) (9)
An isolated schlicht Function (1960) (8)
STRONG FATOU-1-POINTS OF BLASCHKE PRODUCTS (1983) (8)
OnTaylor series of functions regular inGaier regions (1954) (8)
Sets of divergence of Taylor series and of trigonometric series (1954) (8)
An entire function of restricted growth (1959) (7)
Laconicity and redundancy of Toeplitz matrices (1964) (7)
The shape of level curves (1966) (6)
Level sets of infinite length (1978) (6)
Ambiguous points of a function continuous inside a sphere. (1957) (6)
The Set of Nondifferentiability of a Continuous Function (1966) (6)
Convergence fields of row-finite and row-infinite Toeplitz transformations (1950) (6)
Sequences of linear fractional transformations. (1959) (5)
Schlicht Taylor series whose convergence on the unit circle is uniform but not absolute. (1951) (5)
The distribution of prime ends. (1960) (5)
Lipschitz functions of continuous functions (1953) (5)
Uniformly accessible Jordan curves through large sets of relative harmonic measure zero (1952) (4)
On the derivative of a univalent function (1953) (4)
The sets of ambiguous points of functions of bounded characteristic. (1957) (3)
Linear accessibility of boundary points of a Jordan region (1951) (3)
The structure and distribution of prime ends (1959) (3)
Sets of radial continuity of analytic functions (1954) (3)
Level-sets of special Blaschke products. (1982) (3)
On a conjecture of Lusin. (1955) (3)
Some properties of the Fejér polynomials (1956) (2)
On the summability of ordinary Dirichlet series by Taylor methods. (1952) (2)
Holomorphic functions with dense sets of Plessner points (1969) (2)
Asymmetric prime ends (1961) (2)
Uncountable-order sets for radial-limit functions (1984) (2)
The derivative of a monotonic discontinuous function (1965) (2)
Over-convergence on the circle of convergence (1947) (2)
Conformal mapping of a Jordan region whose boundary has positive two-dimensional measure. (1952) (2)
Polynomials whose zeros lie on the unit circle (1955) (2)
A Blaschke product with a level-set of infinite length (1983) (2)
Strongly annular functions with small Taylor coefficients (1977) (2)
A note on transforms of unbounded sequences (1947) (2)
III. The Promotion of Participation (1975) (1)
Jordan domains and absolute convergence of power series. (1962) (1)
Say It Better (1982) (1)
A summation matrix with a governor (1946) (1)
Totally disconnected sets, Jordan curves, and conformal maps (1972) (1)
Proceedings of the Symposium on Complex Analysis Canterbury 1973: The Fatou limits of outer functions (1974) (1)
Inner functions with a level-set of infinite length (1979) (1)
THE SUMMER MEETING IN KINGSTON (2007) (1)
Topology of groups (1943) (1)
On the convergence of certain partial sums of a Taylor series with gaps (1943) (1)
Strongly Annular Tsuji Functions (1979) (1)
Opinion: Tentative Affiliations: An Apology (1990) (1)
Bounded Radial Variation and Divergence of Power Series. (1966) (0)
ESSENTIAL tiAUSDORFF CORES OF SEQUENCES (1964) (0)
The Length of a Lemniscate (1980) (0)
Letters to the editors (1978) (0)
The sets of Lusin points of analytic functions. (1957) (0)
Algebraic-logarithmic singularities and Hadamard’s determinants (1944) (0)
Mathematical Review of “How to Write Mathematics” by P.R. Halrnos (2010) (0)
Asymmetric prime ends : technical note (1960) (0)
Over 600 people registered for the meeting , including the following 409 members of the Society : (2007) (0)
The points of maximum modulus of a univalent function (1977) (0)
SOME PROPERTIES OF THE FEJAR POLYNOMIALS (2016) (0)
Musical Comedy i From Faculty WorkoutsSwing Into Final Phase Staff Nominees (0)
The derived sets of a linear set. (1955) (0)
Progress report and final report on basic research in mathematics (1953) (0)
Basic research in mathematics : progress report (1953) (0)
The zero-sets of the radial-limit functions of inner functions (1995) (0)
Desgning a Mirror that Inverts in a Oirolo Dedicated to our mentors (2002) (0)
On a problem of Lohwater (1959) (0)
Normal Analytic Functions and a Question of M. L. Cartwright (1979) (0)
Some point sets associated with Taylor series. (1955) (0)
A topological generalization of Schwarz' lemma (1941) (0)
The Plankton of the Bear River Migratory Waterfowl Refuge, Utah Seasonal Distribution of Organisms (1937) (0)
A study of the position and nature of the singularities of functions given by their Taylor series (1943) (0)
THE BOUNDARY OF A SIMPLY CONNECTED DOMAIN 1 (2007) (0)
Complex Variables with Applications. By A. David Wunsch (1985) (0)
Invitation to Complex Analysis. By Ralph Philip Boas (1989) (0)
Some properties of the Fejer polynomials : technical report no. 1 (1955) (0)

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