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http://dx.doi.org/10.5831/HMJ.2020.42.4.719

CERTAIN GEOMETRIC PROPERTIES OF MODIFIED LOMMEL FUNCTIONS  

Din, Muhey U (Department of Mathematics, Government Post Graduate Islamia College Faisalabad)
Yalcin, Sibel (Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University)
Publication Information
Honam Mathematical Journal / v.42, no.4, 2020 , pp. 719-731 More about this Journal
Abstract
In this article, we find some sufficient conditions under which the modified Lommel function is close-to-convex with respect to - log(1 - z) and ${\frac{1}{2}}\;{\log}\;\({\frac{1+z}{1-z}}\)$. Starlikeness, convexity and uniformly close-to-convexity of the modified Lommel function are also discussed. Some results related to the H. Silverman are also the part of our investigation.
Keywords
Analytic functions; Modified Lommel fiuctions; Close-to-convexity; Starlikeness;
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