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In this paper our aim is to establish some geometric properties (like starlikeness, convexity and close-to-convexity) for the generalized and normalized Dini functions. In order to prove our main results, we use some inequalities for ratio of these functions in normalized form and classical result of Fejer.
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참고문헌 (11)
참고문헌 신청
A. Baricz / 2008 / Geometric properties of generalized Bessel functions / Publ. Math. Debrecen 73(1-2):155~178
A. Baricz / 2010 / Starlikeness and convexity of generalized Bessel functions / Integr. Transforms Spec. Funct 21:641~653
A. Baricz / 2016 / Starlikeness of Bessel functions and their derivatives / Math. Ineq. Appl 19(2):439~449
A. Baricz / 2016 / Close-to-convexity of normalized Dini functions / Math. Narch 289:1721~1726
A. Baricz / 2016 / Modified Dini functions: monotonicity patterns and functional inequalities / Acta Math. Hungrica 149:120~142
A. Baricz / 2010 / Starlikeness and convexity of generalized Bessel functions / Integr. Transforms Spec. Funct 21:641~653
A. Baricz / 2016 / Starlikeness of Bessel functions and their derivatives / Math. Ineq. Appl 19(2):439~449
A. Baricz / 2016 / Close-to-convexity of normalized Dini functions / Math. Narch 289:1721~1726
A. Baricz / 2016 / Modified Dini functions: monotonicity patterns and functional inequalities / Acta Math. Hungrica 149:120~142
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