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Standard solutions of complex differential equations
Janne Heittokangas, Samu Pulkkinen, Hui Yu +1
A meromorphic solution of a complex linear differential equation (with meromorphic coefficients) for which the value zero is the only possible finite deficient/deviated value is ca…
Dual exponential polynomials and a problem of Ozawa
Janne Heittokangas, Katsuya Ishizaki, Kazuya Tohge +1
Complex linear differential equations with entire coefficients are studied in the situation where one of the coefficients is an exponential polynomial and dominates the growth of a…
Meromorphic functions of finite -order and linear Askey-Wilson divided difference equations
Hui Yu, Janne Heittokangas, Jun Wang +1
The growth of meromorphic solutions of linear difference equations containing Askey-Wilson divided difference operators is estimated. The -order is used as a general growth indi…
Meromorphic functions of finite -order and linear -difference equations
Janne Heittokangas, Jun Wang, Zhi-Tao Wen +1
The -order was introduced in 2009 for meromorphic functions in the unit disc, and was used as a growth indicator for solutions of linear differential equations. In this paper, t…
Asymptotic integration theory for
Gary G. Gundersen, Janne Heittokangas, Amine Zemirni
Asymptotic integration theory gives a collection of results which provide a thorough description of the asymptotic growth and zero distribution of solutions of (*) ,…
On Petrenko's deviations and second order differential equations
J. Heittokangas, M. A. Zemirni
New results on the oscillation of solutions of and on the growth of solutions of are obtained, where and are entire functions. Petrenko's…