Results 11 to 20 of about 126 (51)
A subordination theorem for spirallike functions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 433-435, 2000., 2000 We prove a subordination relation for a subclass of the class of λ‐spirallike functions.
Sukhjit Singh
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 201-203, 1996., 1996 The radius of univalence is found for the convolution f∗g of functions f ∈ S (normalized univalent functions) and g ∈ C (close‐to‐convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S. Finally, a characterization of C provides an inclusion relationship.
Herb Silverman
wiley +1 more source
Second Hankel determinant for a class of analytic functions defined by q-derivative operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj +1 more source
Remark on functions with all derivatives univalent
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 193-196, 1980., 1980 An attractive conjecture is discounted for the class of normalized univalent functions whose derivatives are also univalent.
M. Lachance
wiley +1 more source
Hardy spaces and unbounded quasidisks
, 2010 We study the maximal number $0\le h\le+\infty$ for a given plane domain $\Omega$ such that $f\in H^p$ whenever ...
Kim, Yong Chan, Sugawa, Toshiyuki
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
core +1 more source
A note on successive coefficients of convex functions
, 2016 In this note, we investigate the supremum and the infimum of the functional $|a_{n+1}|-|a_{n}|$ for functions, convex and analytic on the unit disk, of the form $f(z)=z+a_2z^2+a_3z^3+\dots.$ We also consider the related problem to maximize the functional
Li, Ming, Sugawa, Toshiyuki
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Coefficient body for nonlinear resolvents [PDF]
, 2019 This paper is devoted to the study of families of so-called nonlinear resolvents. Namely, we construct polynomial transformations which map the closed unit polydisks onto the coefficient bodies for the resolvent families. As immediate applications of our
Elin, Mark, Jacobzon, Fiana
core +2 more sources
On Littlewood's Constants [PDF]
, 2017 In two papers, Littlewood studied seemingly unrelated constants: (i) the best α such that for any polynomial f, of degree n, the areal integral of its spherical derivative is at most ·nα, and (ii) the extremal growth rate rβ of the length of Green's ...
Beliaev, D., Smirnov, S.
core
Estimates for Coefficients of Certain Analytic Functions
, 2017 For $ -1 \leq B \leq 1$ and $A>B$, let $\mathcal{S}^*[A,B]$ denote the class of generalized Janowski starlike functions consisting of all normalized analytic functions $f$ defined by the subordination $z f'(z)/f(z) \prec (1+ A z)/(1+ B z)$ $(|z|1)$ and ...
Ravichandran, V., Verma, Shelly
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