Starlike and convexity properties for p-valent solutions of the Shah differential equation

Journal Title: Математичні Студії - Year 2017, Vol 48, Issue 1

Abstract

The starlikeness and the convexity in the unit disc and the growth of an entire function f(z)=zp+∑∞n=p+1fnzn, p∈N, satisfying the differential equation z2w′′+(β0z2+β1z)w′+(γ0z2+γ1z+γ2)w=0 (β0,β1,γ0,γ1,γ2 are complex parameters) are studied.

Authors and Affiliations

Myroslav Sheremeta, Yuriy Trukhan

Keywords

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  • EP ID EP302705
  • DOI 10.15330/ms.48.1.14-23
  • Views 67
  • Downloads 0

How To Cite

Myroslav Sheremeta, Yuriy Trukhan (2017). Starlike and convexity properties for p-valent solutions of the Shah differential equation. Математичні Студії, 48(1), 14-23. https://europub.co.uk/articles/-A-302705