Product
Help
Pricing
About
Jobs
Log in
Get started
Keyword
Add to collection
maximum modulus
Description:
The greatest absolute value attained by a complex function on a specified set, a concept in complex analysis.
Primary topic:
Meromorphic and Entire Functions (42%)
Related topics:
Meromorphic and Entire Functions (42%),
Mathematical functions and polynomials (19%),
Analytic and geometric function theory (14%)
OpenAlex ID:
keywords/maximum-modulus
Multidimensional analogues of Bohr’s theorem on power series
1999
·
Lev Aizenberg
·
Proceedings of the American Mathematical Society
·
198
PDF
Inequalities for a polynomial and its derivative
1988
·
Abdul Aziz
, Q.M Dawood
·
Journal of Approximation Theory
·
185
Bessel Functions: Monotonicity and Bounds
2000
·
L. J. Landau
·
Journal of the London Mathematical Society
·
134
Distinguished varieties
2005
·
Jim Agler
, John E. McCarthy
·
Acta Mathematica
·
130
PDF
Extreme values of the Riemann zeta function
1977
·
Hugh L. Montgomery
·
Commentarii Mathematici Helvetici
·
122
Sur les fonctions entières d'ordre nul et d'ordre fini et en particulier les fonctions à correspondance régulière
1913
·
G. Valiron
·
Annales de la faculté des sciences de Toulouse Mathématiques
·
113
PDF
On the derivative of a polynomial
1973
·
N. K. Govil
·
Proceedings of the American Mathematical Society
·
110
PDF
On the Maximum Modulus of Polynomials
1992
·
M. A. Qazi
·
Proceedings of the American Mathematical Society
·
92
PDF
q-Taylor theorems, polynomial expansions, and interpolation of entire functions
2003
·
Mourad E.H. Ismail
, Dennis Stanton
·
Journal of Approximation Theory
·
88
PDF
Some inequalities for derivatives of polynomials
1991
·
N.K Govil
·
Journal of Approximation Theory
·
77
Upper bounds on the maximum modulus of subdominant eigenvalues of nonnegative matrices
1985
·
Uriel G. Rothblum
, Choon Peng Tan
·
Linear Algebra and its Applications
·
71
On the frequency of titchmarsh’s phenomenon for ζ(s)—III
1977
·
R Balasubramanian
, K Ramachandra
·
Proceedings of the Indian Academy of Sciences - Section A
·
67
The Growth of Polynomials Bounded at Equally Spaced Points
1992
·
Don Coppersmith
, T. J. Rivlin
·
SIAM Journal on Mathematical Analysis
·
66
A refinement of a theorem of Paul Turan concerning polynomials
1998
·
Abdul Aziz
, Nisar Ahmed Rather
·
Mathematical Inequalities & Applications
·
60
PDF
Remez-Type Inequalities on the Size of Generalized Polynomials
1992
·
Tamás Erdélyi
·
Journal of the London Mathematical Society
·
59
Maximum Modulus of Random Polynomials
2010
·
F. Bayart
·
The Quarterly Journal of Mathematics
·
58
An Integral Mean Estimate for Polynomials
1984
·
M. A. Malik
·
Proceedings of the American Mathematical Society
·
57
PDF
On the derivative of a polynomial
1979
·
N. K. Govil
, Q. I. Rahman
, et al.
·
Illinois Journal of Mathematics
·
53
PDF
Inequalities for the derivative of a polynomial
1983
·
Abdul Aziz
·
Proceedings of the American Mathematical Society
·
52
Lower bounds for the maximum of the Riemann zeta function along vertical lines
2015
·
Christoph Aistleitner
·
Mathematische Annalen
·
51
PDF
Fast Growing Solutions of Linear Differential Equations in the Unit Disc
2006
·
Janne Heittokangas
, Risto Korhonen
, et al.
·
Results in Mathematics
·
49
On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion
1970
·
M. N. Šeremeta
·
Translations - American Mathematical Society/Translations
·
47
On the zeros of the derivative of a polynomial
1961
·
Kurt Mahler
·
Proceedings of the Royal Society of London A Mathematical and Physical Sciences
·
47
Inequalities for ultraspherical polynomials and the gamma function
1984
·
Lee Lorch
·
Journal of Approximation Theory
·
46
PDF
Maximum modulus in a bidisc of analytic functions of bounded $L$-index and an analogue of Hayman's theorem
2017
·
Andriy Bandura
, Nataliia Petrechko
, et al.
·
Mathematica Bohemica
·
42
PDF
Show more works
View as search
Works count:
908
Citation count:
5,519
Year
Topic
Type
