Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2020.04.18
  • Accepted : 2020.10.21
  • Published : 2020.12.25
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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.

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References

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