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Abstract
New subclasses of univalent functions associated with Miller-Ross-type functions, with coefficient inequalities applied to CT image enhancement and medical image sharpening.
Coefficient bounds & claims (7)
Machine-extracted from the paper text - useful for cross-referencing, not a verified fact.
coefficient_bound
|a_n| ≤ vartheta*|varpi| / ({[1 + varrho*(n-1)]*(vartheta*|varpi| - 1) + n} * Lambda_n) for class M^varpi_{nu,p}(varrho, vartheta) [Corollary 1.2]
coefficient_bound
|a_n| ≤ vartheta*|varpi| / ([1 + varrho*(n-1)] * Lambda_n) for class G^varpi_{nu,p}(varrho, vartheta) [Theorem 1.3]
function_family
Class M^varpi_{nu,p}(varrho, vartheta): f in A such that |1/varpi * (zeta (M^nu_p f)' / [(1-varrho)M^nu_p f + varrho*zeta*(M^nu_p f)'] - 1)| < vartheta, zeta in V
function_family
Class G^varpi_{nu,p}(varrho, vartheta): f in A such that |1/varpi * ((1-varrho)*M^nu_p f(zeta)/zeta + varrho*(M^nu_p f)'(zeta) - 1)| < vartheta, zeta in V
function_family
Class S^varpi_{nu,p}(vartheta): Special case varrho=0 of M^varpi_{nu,p}: |1/varpi * (zeta(M^nu_p f)'/(M^nu_p f) - 1)| < vartheta
function_family
Class K^varpi_{nu,p}(vartheta): Special case varrho=1 of G^varpi_{nu,p}: |1/varpi * ((M^nu_p f)' - 1)| < vartheta
function_family
Class N^varpi_{nu,p}(vartheta): Special case varrho=0 of G^varpi_{nu,p}: |1/varpi * (M^nu_p f(zeta)/zeta - 1)| < vartheta
Registry evidence (1)
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