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Everything about Nephroid
Plane curve; an epicycloid with radii differing by 1/2
In geometry, a nephroid is a specific plane curve. It is a type of epicycloid in which the smaller circle's radius differs from the larger one by a factor of one-half. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: NephroidA 5-minute orientation
- Skim a recent paper: Mapping Properties of Associate Laguerre Polynomials in Leminiscate, Exponential and Nephroid DomainInfluential work since 2022
- Read the landmark paper: Starlike and Convex Functions Associated with a Nephroid DomainCited 99 times
- Go sideways: Oseen equationsA closely related topic
- Go sideways: Table of spherical harmonicsA closely related topic
📖 Definitions
Noun A plane curve resembling two intersecting ellipses
Adjective kidney-shaped
🏆 Landmark papers (most cited)
Starlike and Convex Functions Associated with a Nephroid Domain
The second Hankel determinant for subclasses of Bi-univalent functions associated with a nephroid domain
Relationship of Benign and Malignant Hyper-Nephroid Tumors of Kidney: Clinical and Pathological Study of 77 Cases in 12, 885 Necropsies
Radius problems for functions associated with a nephroid domain
Sufficiency for nephroid starlikeness using hypergeometric functions
Subordination-implication problems concerning the nephroid starlikeness of analytic functions
Coefficient problems of a class of q-starlike functions associated with q-analogue of Al-Oboudi-Al-Qahtani integral operator and nephroid domain
Fekete–Szegő Inequalities for Certain Subclasses of Analytic Functions Related with Nephroid Domain
🆕 Influential since 2022
Mapping Properties of Associate Laguerre Polynomials in Leminiscate, Exponential and Nephroid Domain
Geometric Nature of Special Functions on Domain Enclosed by Nephroid and Leminscate Curve
On logarithmic coefficients for starlike functions related to nephroid domain
Sharp Coefficient Related Results for Nephroid Shaped Domain
On Certain Analytic Functions Associated with Nephroid Function
📚 Books worth reading
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