Results 21 to 30 of about 57 (56)
Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 8, Page 459-465, 2002., 2002 We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim +2 more
wiley +1 more source
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
Some characteristic properties of analytic functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we consider a class L(λ, μ; ϕ) of analytic functions f defined in the open unit disk U satisfying the subordination condition ...
Raina R. K. +2 more
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A new criterion for close‐to‐convexity of partial sums of certain hypergeometric functions
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 197-202, 1997., 1997 We consider the partial sums of certain hypergeometric functions and establish conditions imposed on the locations of zeros of those polynomials in order to be close‐to‐convex in the open unit disk.
Massoud Jahangiri
wiley +1 more source
Certain classes of analytic functions defined by fractional q-calculus operator
Acta Universitatis Sapientiae: Mathematica, 2018 In this paper, the concept of fractional q-calculus and generalized Al-Oboudi differential operator defining certain classes of analytic functions in the open disc are used.
Ravikumar N.
doaj +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
Acta Universitatis Sapientiae: Mathematica, 2019 In this paper, we define a class of analytic functions, ℱ(ℋ, α, δ, µ), satisfying the following ...
Szatmari Eszter, Altinkaya Şahsene
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A class of bounded starlike functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 249-252, 1994., 1994 We consider functions f(z) = z + … that are analytic in the unit disk and satisfy there the inequality Re(f′(z) + zf″(z)) > α, α < 1. We find extreme points and then determine sharp lower bounds on Ref′(z) and Re(f(z)/z). Sharp results for the sequence of partial sums are also found.
Herb Silverman
wiley +1 more source
Results on a certain class of analytic functions associated with Chebyshev polynomial
Scientific African, 2023 In this work, it was established that Chebyshev polynomial of the second kind belongs to the class of functions with positive real part. The convolution of the Chebyshev polynomial and modified sigmoid function was established to also give functions ...
M.O. Oluwayemi +1 more
doaj
Coefficient inequalities for a subclass of Bazilevič functions
Demonstratio Mathematica, 2020 Let f be analytic in D={z:|z|
Fitri Sa’adatul +3 more
doaj +1 more source