On Integral Functions Having Prescribed Asymptotic Growth. II

J. Clunie; T. Kövari

doi:10.4153/CJM-1968-002-1

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

One of the authors published in 1965 a paper with identical title (1), in which the following result was proved:

Theorem A. Let ϕ(r) be increasing and convex in log r, with

References

1. Clunie, J., On integral functions having prescribed asymptotic growth, Can. J. Math., 17 (1965), 396–404.Google Scholar

2. Edrei, A. and Fuchs, W. H. J., Entire and meromorphic Junctions with asymptotically prescribed characteristic, Can. J. Math., 17 (1965), 383–395.Google Scholar

3. Erdös, P. and Kövari, T., On the maximum modulus of entire functions, Acta Math. Acad. Sci. Hungar., 7 (1957), 305–312.Google Scholar

4. Nevanlinna, R., Eindeutige analytische Funktionen, 2nd ed. (Berlin, 1953).10.1007/978-3-662-06842-7CrossRef Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Shah, S. M. 1969. Meromorphic functions with one deficient value. Journal of the Australian Mathematical Society, Vol. 10, Issue. 3-4, p. 355.

Lepson, Benjamin 1971. Entire functions of extreme rates of growth. Journal of Mathematical Analysis and Applications, Vol. 36, Issue. 2, p. 371.

1973. Introduction to the Theory of Entire Functions. Vol. 56, Issue. , p. 186.

Gol'dberg, A. A. 1975. Meromorphic functions. Journal of Soviet Mathematics, Vol. 4, Issue. 2, p. 157.

Niinō, Kiyoshi 1975. On the growth rate of compositions of entire and meromorphic functions. Kodai Mathematical Journal, Vol. 26, Issue. 2-3,

Anderson, J. M. and Duncan, J. 1990. Duals of Banach spaces of entire functions. Glasgow Mathematical Journal, Vol. 32, Issue. 2, p. 215.

Levin, A. L. and Lubinsky, D. S. 1992. Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights. Constructive Approximation, Vol. 8, Issue. 4, p. 463.

Schmid, Ulrlch 1992. On power series with non-negative coefficients. Complex Variables, Theory and Application: An International Journal, Vol. 18, Issue. 3-4, p. 187.

Lubinsky, D.S. 1992. Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The L∞ theory. Journal of Approximation Theory, Vol. 70, Issue. 3, p. 284.

Lubinsky, D.S. and Mthembu, Thandwa 1993. Mean convergence of Lagrange interpolation for Erdős weights. Journal of Computational and Applied Mathematics, Vol. 47, Issue. 3, p. 369.

Damelin, S. B. and Lubinsky, D. S. 1996. Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdős Weights. Canadian Journal of Mathematics, Vol. 48, Issue. 4, p. 710.

Damelin, S. B. and Lubinsky, D. S. 1996. Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdős Weights II. Canadian Journal of Mathematics, Vol. 48, Issue. 4, p. 737.

Lubinsky, D.S. 1997. Forward and Converse Theorems of Polynomial Approximation for Exponential Weights on [−1,1], II. Journal of Approximation Theory, Vol. 91, Issue. 1, p. 48.

Ditzian, Z. and Lubinsky, D. S. 1997. Jackson and smoothness theorems for freud weights. Constructive Approximation, Vol. 13, Issue. 1, p. 99.

Lubinsky, D.S. 1997. Forward and Converse Theorems of Polynomial Approximation for Exponential Weights on [−1,1], I. Journal of Approximation Theory, Vol. 91, Issue. 1, p. 1.

Schmid, Ulrich 1998. On the Approximation of Positive Functions by Power Series, II. Journal of Approximation Theory, Vol. 92, Issue. 3, p. 486.

Damelin, S.B. and Lubinsky, D.S. 1998. Jackson Theorems for Erdős Weights inLp(0<p⩽∞). Journal of Approximation Theory, Vol. 94, Issue. 3, p. 333.

Ostrovskii, Iossif and Üreyen, Ersin 2005. Maximum modulus points and zero sets of entire functions of regular growth. Comptes Rendus. Mathématique, Vol. 341, Issue. 8, p. 481.

Островский, Иосиф Владимирович Ostrovskii, Iosif Vladimirovich Островский, Иосиф Владимирович Ostrovskii, Iosif Vladimirovich Юрейен, А Е and Ureyen, A E 2006. Нерегулярность роста медленно растущих целых функций. Функциональный анализ и его приложения, Vol. 40, Issue. 4, p. 72.

Ostrovskii, I. V. and Üreyen, A. E. 2006. The growth irregularity of slowly growing entire functions. Functional Analysis and Its Applications, Vol. 40, Issue. 4, p. 304.

Download full list

Article contents

On Integral Functions Having Prescribed Asymptotic Growth. II

Extract

References

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests