On Integral Functions Having Prescribed Asymptotic Growth

1965/01/01 by J. Clunie · 1 citation
Mathematics · #Convex function #Function (biology) #Functional Equations Stability Results #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Meromorphic and Entire Functions #Pure mathematics #Regular polygon

paper · pdf · doi:10.4153/cjm-1965-040-8

openalex publication_date 1965/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

In this paper I shall prove the following theorem: Theorem. Let ϕ ( r ) be increasing and convex in log r with (This condition is imposed to exclude certain trivial cases.) Then there is an integral function f(z) such that

Cited by

• On Petrenko's deviations and second order differential equations

Related

• From integral estimates of functions to uniformly and locally averaged
• Asymptotic functions of entire functions
• Monotonicity and absolute convexity of two functions involving Riemann zeta function
• Relaxation of Periodic and Nonstandard Growth Integrals by means of Two-scale convergence
• Strictly continuous extension of functionals with linear growth to the space BV