Geometric and monotonic properties of Ramanujan type entire functions

DOI10.1007/s11139-020-00267-wzbMath1468.30028OpenAlexW3043939532MaRDI QIDQ829641

Erhan Deniz

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00267-w

zbMATH Keywords

convex functionsradius of starlikenessstar-like functionsradius of convexityRamanujan-type entire functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

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Cites Work

• The radius of \(\alpha\)-convexity of normalized Bessel functions of the first kind
• The radius of convexity of normalized Bessel functions
• Radii of \(\alpha \)-convexity of some normalized Bessel functions of the first kind
• The radius of univalence of Bessel functions
• Radii of starlikeness and convexity of some \(q\)-Bessel functions
• Inequalities for quasiconformal mappings in space
• Rogers-Ramanujan identities in the hard hexagon model
• About the radius of starlikeness of Bessel functions of the first kind
• Fermionic sum representations for conformal field theory characters
• The radius of uniform convexity of Bessel functions
• Radii of starlikeness of some special functions
• Zeros of Ramanujan type entire functions
• The radius of convexity of normalized Bessel functions of the first kind
• Asymptotic expansions and inequalities for hypergeometric function
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Radii of starlikeness and convexity of Wright functions
• 𝑞-Bessel functions and Rogers-Ramanujan type identities
• Bounds for the radii of univalence of some special functions
• Zeros of Bessel function derivatives
• On complete monotonicity of certain special functions
• Bounds for radii of starlikeness and convexity of some special functions
• The radius of starlikeness of normalized Bessel functions of the first kind
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