Results 21 to 30 of about 101,039,394 (126)

On a Subclass of Close-to-Convex Functions [PDF]

open access: yesBulletin of the Iranian Mathematical Society, 2018
11 ...
Chung, Yao Liang   +2 more
openaire   +2 more sources

On Starlike and Close-to-Convex Functions [PDF]

open access: yesProceedings of the London Mathematical Society, 1963
Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
openaire   +2 more sources

Faber Polynomial Coefficient Estimates for Janowski Type bi-Close-to-Convex and bi-Quasi-Convex Functions [PDF]

open access: yes, 2023
Motivated by the recent work on symmetric analytic functions by using the concept of Faber polynomials, this article introduces and studies two new subclasses of bi-close-to-convex and quasi-close-to-convex functions associated with Janowski functions ...
Qin Xin   +11 more
core   +1 more source

On the definition of a close‐to‐convex function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1978
The standard definition of a close‐to‐convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the class, explicit reasons for this fact seem to be lacking in the literature.
Goodman, A. W., Saff, E. B.
openaire   +3 more sources

Generalizations of the Hermite-Hadamard Type Inequalities for Functions whose Derivatives are s-Convex [PDF]

open access: yes, 2009
Some new results related to the right-hand side of the Hermite- Hadamard type inequality for the class of functions whose derivatives at certain powers are s-convex functions in the second sense are ...
Kirmaci, US   +3 more
core   +5 more sources

Doubly close-to-convex functions

open access: yesJournal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dorff, Michael   +2 more
openaire   +2 more sources

Note on the zeros of functions with univalent derivatives

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
Let E denote the class of functions f(z) analytic in the unit disc D, normalized so that f(0)=0=f′(0)−1, such that each f(k)(z), k≥0 is univalent in D. In this paper we establish conditions for some functions to belong to class E.
Mohammad Salmassi
doaj   +1 more source

Janowski type close-to-convex functions associated with conic regions

open access: yesJournal of Inequalities and Applications, 2017
The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions.
Shahid Mahmood   +2 more
doaj   +1 more source

Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction

open access: yesMathematics, 2023
The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to the significance of the recent studies about the logarithmic coefficients, the problem of obtaining the sharp bounds for the modulus ...
Ebrahim Analouei Adegani   +3 more
doaj   +1 more source

On a Class of Close-to-Convex Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
We look at functionsf(z) for which there correspond functions +(z) convex of order a such that Re{f'(z)lq'(z)}>fl. We examine the influence of the second coefficient of +(z) on this class. In particular, distortion, covering, and radius of convexity theorems are proved.
openaire   +1 more source

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